9 fill up type questions.Just answers.No work
12/6/2017 5.15.3
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2. 0.5/1 points | Previous AnswersLCalcCon5 5.1.007.
A student estimates that his daily commute to college consists of 10 minutes driving at a speed of 30 mph to a divided highway, followed by 5 minutes in which he accelerates to 60 miles per hour, and 15 minutes driving at 60 mph before slowing to exit and enter the parking lot. The figure shows his velocity in terms of time.
(a) What are the units of measure of height, width, and area of the region between the speed graph and the horizontal axis?
height miles per hour
width miles per hour
area miles
(b) How far does the student drive on his commute from home before exiting to the parking lot? (Round your answer to one decimal place.) 26.7 mi
12/6/2017 5.15.3
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(b) The actual area, to nine decimal places, of the region beneath the graph of f(x) = e−x2 is 1.764162782. Which of the approximations found in part (a) is the most accurate?
4. 0/1 points | Previous AnswersLCalcCon5 5.2.011.
The figure shows the power usage in megawatts for one day for a large university campus. The daily power consumption for the campus is measured in megawatthours and is found by calculating the area of the region between the graph and the horizontal axis.
(a) Estimate the daily power consumption, using four left rectangles. (Round your answer to one decimal place.) 364.5 megawatthours (b) Estimate the daily power consumption, using four right rectangles. (Round your answer to one decimal place.) 364.5 megawatthours
rightrectangle approximation
midpointrectangle approximation
leftrectangle approximation
12/6/2017 4.4
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Current Score : 5 / 7 Due : Thursday, December 7 2017 11:59 PM EST
1. 2/2 points | Previous AnswersLCalcCon5 4.4.009.
Write the first and second derivatives of the function.
=
12u−7
=
12
2. 0/2 points | Previous AnswersLCalcCon5 4.4.013.
Write the first and second derivatives of the function.
=
4.61214·1.15t
=
0.645−1.15t
4.4 (Homework)
Valerie Guberek MATH 1231, section 06, Fall 2017 Instructor: Edgar Karapetian
WebAssign
c(u) = 6u2 − 7u + 2
c'(u)
c''(u)
g(t) = 33(1.15t)
g'(t)
g''(t)
12/6/2017 4.1 and 4.5
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4. 0.72/1 points | Previous AnswersLCalcCon5 4.5.016.
A golf ball manufacturer knows the cost associated with various hourly production levels, given below. Production Costs for Golf Balls
Production (hundred balls b)
Cost (dollars C)
2 246
5 353
8 427
11 495
14 541
17 568
20 618
(a) Write the function for the cubic model that gives the production costs for golf balls in dollars where b is the hourly production level in hundred balls, with data from (Round all numerical values to three decimal places.)
=
0.044b3−2.206b2+49.446b+154.982
dollars
(b) If 1000 balls are currently being produced each hour, calculate the marginal cost at that level of production. (Round your answer to three decimal places.) $ 18.526 per hundred balls Interpret the result. (Round your numerical answer to three decimal places.)
At an hourly production level of 1000 golf balls, production cost is increasing by $ 18.526 per hundred golf balls.
(c) Construct the function for the model that gives average cost in dollars per hundred balls where b is the hourly production level in hundred balls, with data from (Round all numerical values to three decimal places.)
=
0.044b3−2.206b2+49.446b+154.982b
dollars per hundred balls
(d) Calculate the rate of change of average cost for hourly production levels of 1000 golf
2 ≤ b ≤ 20.
C(b)
2 ≤ b ≤ 20.
C(b)
12/6/2017 4.1 and 4.5
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balls. (Round your answer to three decimal places.) $ 5.175 per hundred balls per hundred balls Interpret the result. (Round your numerical answer to three decimal places.)
At an hourly production level of 1000 golf balls, average production cost is decreasing by $ 5.175 per hundred golf balls per hundred golf balls.
12/6/2017 Word Problems (3.33.6)
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Current Score : – / 3 Due : Thursday, December 7 2017 11:59 PM EST
1. –/1 pointsLCalcCon5 3.4.037.
The sales of SherwinWilliams paint in different regional markets depends on several input variables. One variable that partially drives selling price, which in turn affects sales, is the cost to get the product to market. When other input variables are held constant, sales can be modeled as
when it costs x dollars to get a gallon of paint to market, data from
(a) How many gallons of paint are sold when it costs 25 cents for a gallon to reach the market? (Round your answer to three decimal places.)
thousand gallons (b) How quickly are sales changing when x = 0.25? (Round your answer to three decimal places.)
thousand gallons per dollar
Word Problems (3.33.6) (Homework)
Valerie Guberek MATH 1231, section 06, Fall 2017 Instructor: Edgar Karapetian
WebAssign
s(x) = 597.3(0.9214x + 12) thousand gallons 0 ≤ x ≤ 2.†
12/6/2017 Word Problems (3.33.6)
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2. –/1 pointsLCalcCon5 3.6.023.
A store has determined that the number of Bluray movies sold monthly is approximately
where x is the average price in dollars.
(a) Write the function for the model giving revenue in dollars, where x is the average price in dollars.
dollars (b) If each movie costs the store $10.00, write the function for the model that gives profit in dollars, where x is the average price in dollars.
dollars (c) Complete the table. (Round your answers to three decimal places.)
Rates of Change of Revenue and Profit
Price
Rate of change of revenue
(dollars per dollar)
Rate of change of profit
(dollars per dollar)
$13
$14
$20
$21
$22
(d) What does the table indicate about the rate of change in revenue and the rate of change in profit at the same price?
There is a range of prices beginning near $14 for which the rate of change of revenue
is Select Select while the rate of change of profit is
Select
n(x) = 6750(0.927x) movies
R(x) =
P(x) =
revenue is
profit is Select .
12/6/2017 Word Problems (3.33.6)
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3. –/1 pointsLCalcCon5 3.6.501.XP.
The accompanying table gives the number of men 65 years or older in the United States and the percentage of men age 65 or older living below the poverty level.
Year Men 65 years or older, m
(millions) Percentage below poverty level, p
1970 8.3 20.2
1980 10.3 11.1
1985 11.0 8.7
1990 12.6 7.8
1997 14.0 7.0
2000 14.4 7.5
(a) Using time as the input, find a linear model for the data set for the number men 65 years or older in the United States. (Let x be the years since 1970. Round all numerical values to three decimal places.) m(x) =
million men Using time as the input, find a quadratic model for the data set for the percentage of men age 65 or older below poverty level. (Let x be the years since 1970. Round all numerical values to three decimal places.) p(x) =
% (b) Write an expression for the number of men 65 years or older who are living below the poverty level in the United States. n(x) =
million men (c) How rapidly was the number of male senior citizens living below the poverty level changing in 1980 and in 1990? (Round your answer to three decimal places.)
12/6/2017 Word Problems (3.33.6)
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1980 million men per year
1990 million men per year
12/6/2017 2.4
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Current Score : 2 / 4 Due : Thursday, December 7 2017 11:59 PM EST
1. –/1 pointsLCalcCon5 2.4.003.
Numerically estimate the slope of the line tangent to the graph of the function f at the given input value. Show the numerical estimation table with four estimates. (Round your answers for to six decimal places. Round your answers for the slope of the secant to four decimal places. Estimate f '(1) to the nearest hundredth.)
x → 1− Slope of secant =
x → 1+ Slope of secant
=
0.9 1.1
0.99 1.01
0.999 1.001
0.9999 1.0001
=
2.4 (Homework)
Valerie Guberek MATH 1231, section 06, Fall 2017 Instructor: Edgar Karapetian
WebAssign
f(x)
f(x) = 2 ; x = 1x
f(x) f(1) − f(x) 1 − x
f(x) f(1) − f(x) 1 − x
f '(1)
12/6/2017 2.4
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2. –/1 pointsLCalcCon5 2.4.011.
The average weekly sales for a clothing store between 2004 and 2008 are given below. Average Weekly Sales for a Clothing Store
Year Thousand Dollars
2004 38.96
2005 53.49
2006 63.79
2007 72.2
2008 67.99
(a) What behavior suggested by a scatter plot of the data indicates that a quadratic model is appropriate?
a single concavity with no change in direction
two concavities with no change in direction
a single concavity with a change in direction
no concavities
(b) Align the input so that in 2000. Find a function for quadratic model for the data that gives the average weekly sales for the clothing store in thousand dollars, with data from
(Round all numerical values to three decimal places.) =
(c) Numerically estimate the derivative of the model from part (b) in 2007 to the nearest hundred dollars. $ per year (d) Interpret the answer to part (c).
In 2007, the average weekly sales for the clothing store were Select by $ per year.
t = 0
4 ≤ t ≤ 8. s(t)