Deck 2: A Preview of Calculus

Question 1

Answer 1

D

Question 2

Decide whether the following problem can be solved using precalculus, or whether calculus is required. If the problem can be solved using precalculus, solve it. If the
Problem seems to require calculus, use a graphical or numerical approach to estimate the
Solution.

Answer 2

A

Question 3

Decide whether the following problem can be solved using precalculus, or whether calculus is required. If the problem can be solved using precalculus, solve it. If the
Problem seems to require calculus, use a graphical or numerical approach to estimate the
Solution.
Find the distance traveled in 16 seconds by an object traveling at a constant velocity of 20 feet
Per second.

Answer 3

C

Question 4

Question 5

Question 6

the rectangles in the following graph to approximate the area of the region

Question 7

Question 8

Decide whether the following problem can be solved using precalculus, or whether calculus is required. If the problem can be solved using precalculus, solve it. If the
Problem seems to require calculus, use a graphical or numerical approach to estimate the
Solution.

Question 9

Complete the table and use the result to estimate the limit.

Question 10

Complete the table and use the result to estimate the limit.

Question 11

Decide whether the following problem can be solved using precalculus, or whether calculus is required. If the problem can be solved using precalculus, solve it. If the
Problem seems to require calculus, use a graphical or numerical approach to estimate the
Solution.

Question 12

Question 13

Question 14

Decide whether the following problem can be solved using precalculus, or whether calculus is required. If the problem can be solved using precalculus, solve it. If the
Problem seems to require calculus, use a graphical or numerical approach to estimate the
Solution.

Question 15

the rectangles in the following graph to approximate the area of the region

Question 16

Decide whether the following problem can be solved using precalculus, or whether calculus is required. If the problem can be solved using precalculus, solve it. If the
Problem seems to require calculus, use a graphical or numerical approach to estimate the
Solution.

Question 17

Question 18

Complete the table and use the result to estimate the limit.

Question 19

Complete the table and use the result to estimate the limit.

Question 20

Question 21

Question 22

the limit.

Question 23

the limit.

Question 24

the limit.

Question 25

sphere has a volume of 4.76 cubic inches. What is the radius of the sphere? Round your answer to four decimal places.

Question 26

the limit.

Question 27

ring has a inner circumference of 9 centimeters. If the ring's inner circumference can vary between 8 centimeters and 10 centimeters how can the radius vary? Round your answer to
Five decimal places.

A)Radius can vary between 6.48456 centimeters and 10.13212 centimeters.
B)Radius can vary between 1.59577 centimeters and 1.78412 centimeters.
C)Radius can vary between 1.27324 centimeters and 1.59155 centimeters.
D)Radius can vary between 2.54648 centimeters and 3.18310 centimeters.
E)Radius can vary between 0.43239 centimeter and 2.43239 centimeters.

Question 28

Complete the table and use the result to estimate the limit.

Question 29

Determine the following limit. (Hint: Use the graph to calculate the limit.)

Question 30

Question 31

Question 32

Question 33

Question 34

Determine the following limit. (Hint: Use the graph to calculate the limit.)

Question 35

the limit.

Question 36

Question 37

the lmit.

Question 38

Determine the following limit. (Hint: Use the graph to calculate the limit.)

Question 39

the limit.

Question 40

ring has a inner circumference of 10 centimeters. What is the radius of the ring? Round your answer to four decimal places.

Question 41

Question 42

the limit (if it exists).

Question 43

Question 44

Question 45

Question 46

the graph to determine the following limits, and discuss the continuity of the

Question 47

Question 48

Question 49

the limit (if it exists).

Question 50

the limit (if it exists).

Question 51

Determine the limit (if it exists).

Question 52

the graph as shown to determine the following limits, and discuss the continuity of the function at

Question 53

the limit (if it exists).

Question 54

Determine the limit (if it exists).

Question 55

the following limit (if it exists). Write a simpler function that agrees with the given function at all but one point.

Question 56

Question 57

the graph as shown to determine the following limits, and discuss the continuity of the function at .

Question 58

Determine the limit (if it exists).

Question 59

the limit (if it exists).

Question 60

the limit (if it exists).

Question 61

Question 62

all the vertical asymptotes (if any) of the graph of the function

Question 63

Question 64

$\text { Determine whether } f ( x ) = \frac { x ^ { 10 } } { x ^ { 2 } - 9 } \text { approaches } \infty \text { or } - \infty \text { as } x \text { approaches } - 3 \text { from }$ the left and from the right by completing the tables below.
$\begin{array}{|c|c|c|c|c|}\hline x & -3.5 & -3.1 & -3.01 & -3.001 \\\hline f(x) & & & & \\\hline\end{array}$

$\begin{array}{|c|c|c|c|c|}\hline x & -2.999 & -2.99 & -2.9 & -2.5 \\\hline f(x) & & & & \\\hline\end{array}$

A) $\lim _ { x \rightarrow - 3 ^ { - } } f ( x ) = - \infty , \lim _ { x \rightarrow - 3 ^ { + } } f ( x ) = \infty$
B) $\lim _{x \rightarrow-3^{-}} f(x)=\infty, \lim _{x \rightarrow-3^{+}} f(x)=-\infty$
C) $\lim _ { x \rightarrow - 3 ^ { - } } f ( x ) = - \infty , \lim _ { x \rightarrow - 3 ^ { + } } f ( x ) = \infty$
D) $\lim _ { x \rightarrow - 3 ^ { - } } f ( x ) = \infty , \lim _ { x \rightarrow - 3 ^ { + } } f ( x ) = -\infty$

Question 65

the constant a such that the function

Question 66

Question 67

the constant a such that the function

Question 68

Question 69

Question 70

the value of c guaranteed by the Intermediate Value Theorem.

Question 71

function.

Question 72

Question 73

function.

Question 74

Question 75

Which of the discontinuities are removable?

Question 76

all the vertical asymptotes (if any) of the graph of the function

Question 77

Question 78

continuous. Which of the discontinuities are removable?

Question 79

the value of c guaranteed by the Intermediate Value Theorem.

Question 80