A+ Answers
Thehonest
1.doc1-3 For the function
f
f
, with a graph given below, find the indicated values
4-5 A function
g
g
is defined by
6. Use an analytical method to find
lim x→2
x2 − 3x −10 x2 − 4
lim
x®2
x
2
-3x-10
x
2
-4
Factoring the numerator and denominator gives:
lim x→2
x2 − 3x −10 x2 − 4
= lim x→2
x − 5( ) x + 2( ) x − 2( ) x + 2( )
= lim x→2
x − 5 x − 2
lim
x®2
x
2
-3x-10
x
2
-4
=lim
x®2
x-5
()
x+2
()
x-2
()
x+2
()
=lim
x®2
x-5
x-2
7. Use an analytical method to find
lim x→0
sin 3x( ) x
lim
x®0
sin3x
()
x
This limit has the form 0/0. Applying L’Hôpital’s Rule to the limit gives:
8.
Use an analytical method to find
lim x→2
x + 2 − 2 x − 2
lim
x®2
x+2-2
x-2
9.
Use an analytical method to find
lim h→0
sin π + h( ) h
lim
h®0
sinp+h
()
h
10.
Find the points at which
f x( ) = x 2 − 3x −10 x2 − 4
fx
()
=
x
2
-3x-10
x
2
-4
is discontinuous,sketch a graph of
f
f
, and state which discontinuity is removable and which is not removable.7. The figure below shows the distance of a car from a measuring position located on the edge of a
Straight road.
(a) What was the average velocity of the car from?
t = 0 to t = 20 seconds?
(b) What was the average velocity from t = 10 to
(c) About how fast was the car traveling at t = 10 Seconds? At t = 20? At t = 30?
