Business Calculus problem in Documents, Problem #2 only

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midpoint_sums.xlsm

Sums

var name f(var) step size Ind val f(val) mid point bars interval index sub points f(mid) f(mid) areas
0 = 0 0 0 = 0 0 ERROR:#DIV/0! 0 0 = 0 0
P2 1 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 1 0 = 0 0
2 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 2 0 = 0 0
3 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 3 0 = 0 0
4 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 4 0 = 0 0
5 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 5 0 = 0 0
6 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 6 0 = 0 0
7 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 7 0 = 0 0
8 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 8 0 = 0 0
9 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 9 0 = 0 0
10 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 10 0 = 0 0
11 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 11 0 = 0 0
12 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 12 0 = 0 0
13 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 13 0 = 0 0
Definition Computation Plot Interval 14 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 14 0 = 0 0
Formula for f(x) x f(x) a b 15 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 15 0 = 0 0
= = 16 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 16 0 = 0 0
Number of subintervals (n): 17 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 17 0 = 0 0
Intervals Midpoint Sum 18 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 18 0 = 0 0
n Dx 19 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 19 0 = 0 0
6 0.00000 0.00000 20 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 20 0 = 0 0
21 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 21 0 = 0 0
Constants 22 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 22 0 = 0 0
s 23 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 23 0 = 0 0
t 24 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 24 0 = 0 0
u 25 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 25 0 = 0 0
v 26 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 26 0 = 0 0
w 27 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 27 0 = 0 0
28 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 28 0 = 0 0
29 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 29 0 = 0 0
30 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 30 0 = 0 0
31 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 31 0 = 0 0
32 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 32 0 = 0 0
33 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 33 0 = 0 0
34 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 34 0 = 0 0
35 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 35 0 = 0 0
36 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 36 0 = 0 0
37 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 37 0 = 0 0
38 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 38 0 = 0 0
39 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 39 0 = 0 0
40 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 40 0 = 0 0
41 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 41 0 = 0 0
42 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 42 0 = 0 0
43 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 43 0 = 0 0
44 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 44 0 = 0 0
45 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 45 0 = 0 0
46 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 46 0 = 0 0
47 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 47 0 = 0 0
48 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 48 0 = 0 0
49 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 49 0 = 0 0
50 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 50 0 = 0 0
51 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 51 0 = 0 0
52 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 52 0 = 0 0
53 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 53 0 = 0 0
54 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 54 0 = 0 0
55 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 55 0 = 0 0
56 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 56 0 = 0 0
57 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 57 0 = 0 0
58 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 58 0 = 0 0
59 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 59 0 = 0 0
60 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 60 0 = 0 0
61 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 61 0 = 0 0
62 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 62 0 = 0 0
63 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 63 0 = 0 0
64 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 64 0 = 0 0
65 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 65 0 = 0 0
66 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 66 0 = 0 0
67 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 67 0 = 0 0
68 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 68 0 = 0 0
69 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 69 0 = 0 0
70 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 70 0 = 0 0
71 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 71 0 = 0 0
72 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 72 0 = 0 0
73 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 73 0 = 0 0
74 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 74 0 = 0 0
75 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 75 0 = 0 0
76 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 76 0 = 0 0
77 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 77 0 = 0 0
78 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 78 0 = 0 0
79 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 79 0 = 0 0
80 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 80 0 = 0 0
81 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 81 0 = 0 0
82 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 82 0 = 0 0
83 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 83 0 = 0 0
84 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 84 0 = 0 0
85 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 85 0 = 0 0
86 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 86 0 = 0 0
87 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 87 0 = 0 0
88 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 88 0 = 0 0
89 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 89 0 = 0 0
90 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 90 0 = 0 0
91 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 91 0 = 0 0
92 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 92 0 = 0 0
93 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 93 0 = 0 0
94 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 94 0 = 0 0
95 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 95 0 = 0 0
96 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 96 0 = 0 0
97 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 97 0 = 0 0
98 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 98 0 = 0 0
99 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 99 0 = 0 0
100 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 100 0 = 0 0
101 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 101 0 = 0 0
102 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 102 0 = 0 0
103 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 103 0 = 0 0
104 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 104 0 = 0 0
105 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 105 0 = 0 0
106 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 106 0 = 0 0
107 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 107 0 = 0 0
108 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 108 0 = 0 0
109 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 109 0 = 0 0
110 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 110 0 = 0 0
111 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 111 0 = 0 0
112 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 112 0 = 0 0
113 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 113 0 = 0 0
114 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 114 0 = 0 0
115 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 115 0 = 0 0
116 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 116 0 = 0 0
117 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 117 0 = 0 0
118 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 118 0 = 0 0
119 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 119 0 = 0 0
120 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 120 0 = 0 0
121 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 121 0 = 0 0
122 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 122 0 = 0 0
123 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 123 0 = 0 0
124 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 124 0 = 0 0
125 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 125 0 = 0 0
126 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 126 0 = 0 0
127 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 127 0 = 0 0
128 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 128 0 = 0 0
129 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 129 0 = 0 0
130 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 130 0 = 0 0
131 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 131 0 = 0 0
132 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 132 0 = 0 0
133 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 133 0 = 0 0
134 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 134 0 = 0 0
135 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 135 0 = 0 0
136 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 136 0 = 0 0
137 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 137 0 = 0 0
138 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 138 0 = 0 0
139 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 139 0 = 0 0
140 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 140 0 = 0 0
141 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 141 0 = 0 0
142 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 142 0 = 0 0
143 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 143 0 = 0 0
144 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 144 0 = 0 0
145 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 145 0 = 0 0
146 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 146 0 = 0 0
147 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 147 0 = 0 0
148 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 148 0 = 0 0
149 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 149 0 = 0 0
150 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 150 0 = 0 0
151 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 151 0 = 0 0
152 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 152 0 = 0 0
153 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 153 0 = 0 0
154 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 154 0 = 0 0
155 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 155 0 = 0 0
156 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 156 0 = 0 0
157 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 157 0 = 0 0
158 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 158 0 = 0 0
159 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 159 0 = 0 0
160 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 160 0 = 0 0
161 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 161 0 = 0 0
162 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 162 0 = 0 0
163 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 163 0 = 0 0
164 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 164 0 = 0 0
165 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 165 0 = 0 0
166 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 166 0 = 0 0
167 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 167 0 = 0 0
168 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 168 0 = 0 0
169 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 169 0 = 0 0
170 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 170 0 = 0 0
171 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 171 0 = 0 0
172 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 172 0 = 0 0
173 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 173 0 = 0 0
174 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 174 0 = 0 0
175 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 175 0 = 0 0
176 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 176 0 = 0 0
177 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 177 0 = 0 0
178 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 178 0 = 0 0
179 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 179 0 = 0 0
180 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 180 0 = 0 0
181 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 181 0 = 0 0
182 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 182 0 = 0 0
183 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 183 0 = 0 0
184 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 184 0 = 0 0
185 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 185 0 = 0 0
186 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 186 0 = 0 0
187 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 187 0 = 0 0
188 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 188 0 = 0 0
189 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 189 0 = 0 0
190 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 190 0 = 0 0
191 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 191 0 = 0 0
192 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 192 0 = 0 0
193 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 193 0 = 0 0
194 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 194 0 = 0 0
195 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 195 0 = 0 0
196 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 196 0 = 0 0
197 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 197 0 = 0 0
198 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 198 0 = 0 0
199 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 199 0 = 0 0
200 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 200 0 = 0 0
201 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 201 0 = 0 0
202 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 202 0 = 0 0
203 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 203 0 = 0 0
204 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 204 0 = 0 0
205 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 205 0 = 0 0
206 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 206 0 = 0 0
207 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 207 0 = 0 0
208 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 208 0 = 0 0
209 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 209 0 = 0 0
210 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 210 0 = 0 0
211 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 211 0 = 0 0
212 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 212 0 = 0 0
213 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 213 0 = 0 0
214 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 214 0 = 0 0
215 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 215 0 = 0 0
216 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 216 0 = 0 0
217 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 217 0 = 0 0
218 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 218 0 = 0 0
219 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 219 0 = 0 0
220 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 220 0 = 0 0
221 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 221 0 = 0 0
222 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 222 0 = 0 0
223 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 223 0 = 0 0
224 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 224 0 = 0 0
225 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 225 0 = 0 0
226 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 226 0 = 0 0
227 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 227 0 = 0 0
228 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 228 0 = 0 0
229 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 229 0 = 0 0
230 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 230 0 = 0 0
231 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 231 0 = 0 0
232 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 232 0 = 0 0
233 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 233 0 = 0 0
234 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 234 0 = 0 0
235 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 235 0 = 0 0
236 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 236 0 = 0 0
237 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 237 0 = 0 0
238 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 238 0 = 0 0
239 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 239 0 = 0 0
240 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 240 0 = 0 0
241 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 241 0 = 0 0
242 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 242 0 = 0 0
243 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 243 0 = 0 0
244 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 244 0 = 0 0
245 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 245 0 = 0 0
246 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 246 0 = 0 0
247 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 247 0 = 0 0
248 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 248 0 = 0 0
249 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 249 0 = 0 0
250 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 250 0 = 0 0
251 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 251 0 = 0 0
252 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 252 0 = 0 0
253 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 253 0 = 0 0
254 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 254 0 = 0 0
255 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 255 0 = 0 0
256 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 256 0 = 0 0
257 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 257 0 = 0 0
258 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 258 0 = 0 0
259 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 259 0 = 0 0
260 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 260 0 = 0 0
261 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 261 0 = 0 0
262 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 262 0 = 0 0
263 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 263 0 = 0 0
264 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 264 0 = 0 0
265 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 265 0 = 0 0
266 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 266 0 = 0 0
267 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 267 0 = 0 0
268 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 268 0 = 0 0
269 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 269 0 = 0 0
270 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 270 0 = 0 0
271 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 271 0 = 0 0
272 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 272 0 = 0 0
273 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 273 0 = 0 0
274 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 274 0 = 0 0
275 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 275 0 = 0 0
276 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 276 0 = 0 0
277 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 277 0 = 0 0
278 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 278 0 = 0 0
279 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 279 0 = 0 0
280 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 280 0 = 0 0
281 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 281 0 = 0 0
282 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 282 0 = 0 0
283 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 283 0 = 0 0
284 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 284 0 = 0 0
285 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 285 0 = 0 0
286 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 286 0 = 0 0
287 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 287 0 = 0 0
288 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 288 0 = 0 0
289 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 289 0 = 0 0
290 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 290 0 = 0 0
291 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 291 0 = 0 0
292 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 292 0 = 0 0
293 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 293 0 = 0 0
294 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 294 0 = 0 0
295 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 295 0 = 0 0
296 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 296 0 = 0 0
297 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 297 0 = 0 0
298 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 298 0 = 0 0
299 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 299 0 = 0 0
300 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 300 0 = 0 0
301 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 301 0 = 0 0
302 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 302 0 = 0 0
303 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 303 0 = 0 0
304 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 304 0 = 0 0
305 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 305 0 = 0 0
306 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 306 0 = 0 0
307 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 307 0 = 0 0
308 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 308 0 = 0 0
309 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 309 0 = 0 0
310 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 310 0 = 0 0
311 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 311 0 = 0 0
312 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 312 0 = 0 0
313 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 313 0 = 0 0
314 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 314 0 = 0 0
315 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 315 0 = 0 0
316 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 316 0 = 0 0
317 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 317 0 = 0 0
318 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 318 0 = 0 0
319 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 319 0 = 0 0
320 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 320 0 = 0 0
321 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 321 0 = 0 0
322 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 322 0 = 0 0
323 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 323 0 = 0 0
324 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 324 0 = 0 0
325 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 325 0 = 0 0
326 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 326 0 = 0 0
327 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 327 0 = 0 0
328 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 328 0 = 0 0
329 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 329 0 = 0 0
330 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 330 0 = 0 0
331 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 331 0 = 0 0
332 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 332 0 = 0 0
333 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 333 0 = 0 0
334 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 334 0 = 0 0
335 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 335 0 = 0 0
336 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 336 0 = 0 0
337 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 337 0 = 0 0
338 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 338 0 = 0 0
339 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 339 0 = 0 0
340 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 340 0 = 0 0
341 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 341 0 = 0 0
342 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 342 0 = 0 0
343 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 343 0 = 0 0
344 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 344 0 = 0 0
345 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 345 0 = 0 0
346 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 346 0 = 0 0
347 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 347 0 = 0 0
348 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 348 0 = 0 0
349 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 349 0 = 0 0
350 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 350 0 = 0 0
351 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 351 0 = 0 0
352 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 352 0 = 0 0
353 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 353 0 = 0 0
354 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 354 0 = 0 0
355 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 355 0 = 0 0
356 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 356 0 = 0 0
357 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 357 0 = 0 0
358 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 358 0 = 0 0
359 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 359 0 = 0 0
360 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 360 0 = 0 0
361 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 361 0 = 0 0
362 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 362 0 = 0 0
363 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 363 0 = 0 0
364 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 364 0 = 0 0
365 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 365 0 = 0 0
366 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 366 0 = 0 0
367 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 367 0 = 0 0
368 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 368 0 = 0 0
369 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 369 0 = 0 0
370 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 370 0 = 0 0
371 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 371 0 = 0 0
372 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 372 0 = 0 0
373 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 373 0 = 0 0
374 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 374 0 = 0 0
375 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 375 0 = 0 0
376 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 376 0 = 0 0
377 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 377 0 = 0 0
378 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 378 0 = 0 0
379 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 379 0 = 0 0
380 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 380 0 = 0 0
381 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 381 0 = 0 0
382 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 382 0 = 0 0
383 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 383 0 = 0 0
384 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 384 0 = 0 0
385 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 385 0 = 0 0
386 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 386 0 = 0 0
387 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 387 0 = 0 0
388 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 388 0 = 0 0
389 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 389 0 = 0 0
390 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 390 0 = 0 0
391 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 391 0 = 0 0
392 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 392 0 = 0 0
393 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 393 0 = 0 0
394 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 394 0 = 0 0
395 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 395 0 = 0 0
396 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 396 0 = 0 0
397 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 397 0 = 0 0
398 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 398 0 = 0 0
399 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 399 0 = 0 0
400 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 400 0 = 0 0
401 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 401 0 = 0 0
402 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 402 0 = 0 0
403 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 403 0 = 0 0
404 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 404 0 = 0 0
405 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 405 0 = 0 0
406 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 406 0 = 0 0
407 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 407 0 = 0 0
408 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 408 0 = 0 0
409 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 409 0 = 0 0
410 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 410 0 = 0 0
411 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 411 0 = 0 0
412 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 412 0 = 0 0
413 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 413 0 = 0 0
414 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 414 0 = 0 0
415 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 415 0 = 0 0
416 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 416 0 = 0 0
417 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 417 0 = 0 0
418 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 418 0 = 0 0
419 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 419 0 = 0 0
420 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 420 0 = 0 0
421 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 421 0 = 0 0
422 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 422 0 = 0 0
423 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 423 0 = 0 0
424 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 424 0 = 0 0
425 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 425 0 = 0 0
426 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 426 0 = 0 0
427 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 427 0 = 0 0
428 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 428 0 = 0 0
429 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 429 0 = 0 0
430 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 430 0 = 0 0
431 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 431 0 = 0 0
432 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 432 0 = 0 0
433 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 433 0 = 0 0
434 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 434 0 = 0 0
435 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 435 0 = 0 0
436 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 436 0 = 0 0
437 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 437 0 = 0 0
438 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 438 0 = 0 0
439 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 439 0 = 0 0
440 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 440 0 = 0 0
441 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 441 0 = 0 0
442 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 442 0 = 0 0
443 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 443 0 = 0 0
444 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 444 0 = 0 0
445 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 445 0 = 0 0
446 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 446 0 = 0 0
447 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 447 0 = 0 0
448 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 448 0 = 0 0
449 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 449 0 = 0 0
450 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 450 0 = 0 0
451 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 451 0 = 0 0
452 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 452 0 = 0 0
453 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 453 0 = 0 0
454 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 454 0 = 0 0
455 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 455 0 = 0 0
456 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 456 0 = 0 0
457 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 457 0 = 0 0
458 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 458 0 = 0 0
459 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 459 0 = 0 0
460 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 460 0 = 0 0
461 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 461 0 = 0 0
462 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 462 0 = 0 0
463 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 463 0 = 0 0
464 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 464 0 = 0 0
465 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 465 0 = 0 0
466 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 466 0 = 0 0
467 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 467 0 = 0 0
468 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 468 0 = 0 0
469 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 469 0 = 0 0
470 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 470 0 = 0 0
471 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 471 0 = 0 0
472 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 472 0 = 0 0
473 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 473 0 = 0 0
474 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 474 0 = 0 0
475 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 475 0 = 0 0
476 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 476 0 = 0 0
477 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 477 0 = 0 0
478 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 478 0 = 0 0
479 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 479 0 = 0 0
480 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 480 0 = 0 0
481 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 481 0 = 0 0
482 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 482 0 = 0 0
483 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 483 0 = 0 0
484 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 484 0 = 0 0
485 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 485 0 = 0 0
486 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 486 0 = 0 0
487 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 487 0 = 0 0
488 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 488 0 = 0 0
489 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 489 0 = 0 0
490 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 490 0 = 0 0
491 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 491 0 = 0 0
492 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 492 0 = 0 0
493 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 493 0 = 0 0
494 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 494 0 = 0 0
495 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 495 0 = 0 0
496 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 496 0 = 0 0
497 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 497 0 = 0 0
498 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 498 0 = 0 0
499 0 = ERROR:#DIV/0! = ERROR:#DIV/0! 499 0 = 0 0
500 0 = ERROR:#DIV/0! 0 ERROR:#DIV/0! 500 0 = 0 0
501 0 0 0 0

MIDPOINT SUMS FOR THE GRAPH OF A FUNCTION

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

x

f(x)

1. Set Excel for Automatic Calculation. 2. Enter a formula, in terms of the letter x, for = f(x) in Cell C18. Constants s, t, u, v, or w may be used; if values are entered in Cells L23:L27. (The value of f(0) will appear in Cell C18.) 3. Click on the Sum button located in Cell I21. This runs the macro, Sum. 4. Cell F18 will display the value of f(x) for any number x that is entered in Cell E18. 5. Enter values for a and b, to see the graph of f(x) over the interval [a, b]. Constants s, t, u, v, or w may be used; if values are entered in Cells K25:K29. If these constant names are used, they must be entered in Cells H18:I18 preceded with "=" signs. For example, =s. 6. Move the Number of subintervals slider to set a value for n in Cell C22. Clicking on an arrow at the end of the scroll bar increases or decreases n by 1. Clicking in the scroll bar increases or decreased n by 10. The width, Dx, of each subinterval and the midpoint sum will be calculated and displayed.

Mathematics for Business Decisions, Part 2 Release 2, 2009 Published and Distributed by The Mathematical Association of America © 2009 by The Arizona Board of Regents for The University of Arizona. All rights reserved.

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