Chapter 02_Form D

MULTIPLE CHOICE

	1.	The position of a car is given by the values in the following table. Find the average velocity for the time period beginning when  and lasting 2 seconds.

a.	35.5	
b.	47.5	
c.	39	
d.	37.5	
e.	33.5	

ANS:	D	PTS:	1	DIF:	Medium	MSC:	Multiple Choice
NOT:	Section 2.6

	2.	If an equation of the tangent line to the curve  at the point where  is  find  and 

a.		
b.		
c.		
d.		
e.	none of these	

ANS:	D	PTS:	1	DIF:	Medium	MSC:	Multiple Choice
NOT:	Section 2.7

	3.	Use the graph of the function to state the value of , if it exists.

a.	0	
b.		
c.		
d.		
e.	does not exist	

ANS:	E	PTS:	1	DIF:	Medium	MSC:	Multiple Choice
NOT:	Section 2.2

	4.	The slope of the tangent line to the graph of the exponential function  at the point  is 
Estimate the slope to three decimal places. 

a.	1.293	
b.	2	
c.	2.026	
d.	1.568	
e.	2.079	
f.	2.556	

ANS:	E	PTS:	1	DIF:	Medium	MSC:	Multiple Choice
NOT:	Section 2.8

	5.	Find the limit. 

a.		
b.		
c.		
d.	0	
e.	does not exist	

ANS:	A	PTS:	1	DIF:	Medium	MSC:	Multiple Choice
NOT:	Section 2.3

	6.	Find an equation of the tangent line to the curve  at the point .

a.		
b.		
c.		
d.		
e.	none of these	

ANS:	E	PTS:	1	DIF:	Medium	MSC:	Multiple Choice
NOT:	Section 2.7

	7.	Estimate the value of the following limit by graphing the function .  State your answer correct to two decimal places. 

a.	3.00	
b.	3.14	
c.	0.95	
d.	0.64	
e.		
f.		

ANS:	C	PTS:	1	DIF:	Medium	MSC:	Multiple Choice
NOT:	Section 2.2

	8.	Let  Find the following limits. 

a.	both 2	
b.	2 and 1	
c.	2 and 	
d.	2 and 	
e.	both 1	

ANS:	C	PTS:	1	DIF:	Medium	MSC:	Multiple Choice
NOT:	Section 2.6

	9.	Use continuity to evaluate the limit. 

a.		
b.		
c.	0	
d.		
e.	1	

ANS:	C	PTS:	1	DIF:	Medium	MSC:	Multiple Choice
NOT:	Section 2.5

	10.	If find the defination of derivative to find 

a.		
b.		
c.		
d.		
e.	none of these	

ANS:	A	PTS:	1	DIF:	Medium	MSC:	Multiple Choice
NOT:	Section 2.2

	11.	For what value of the constant c is the function f continuous on 

a.		
b.		
c.		
d.		
e.		

ANS:	C	PTS:	1	DIF:	Medium	MSC:	Multiple Choice
NOT:	Section 2.7

	12.	How would you define  in order to make f continuous at 4?

a.		
b.		
c.		
d.		
e.	none of these	

ANS:	C	PTS:	1	DIF:	Medium	MSC:	Multiple Choice
NOT:	Section 2.7

	13.	Use the graph of the function to state the value of  if it exists. 

a.	0	
b.		
c.	1	
d.		
e.	does not exist	

ANS:	E	PTS:	1	DIF:	Medium	MSC:	Multiple Choice
NOT:	Section 2.2

	14.	If find 

a.	1	
b.		
c.	0	
d.	3	
e.	5	

ANS:	A	PTS:	1	DIF:	Medium	MSC:	Multiple Choice
NOT:	Section 2.3

	15.	Find an equation of the tangent line to the parabola  at the point 

a.		
b.	81	
c.	27	
d.		
e.	18	

ANS:	A	PTS:	1	DIF:	Medium	MSC:	Multiple Choice
NOT:	Section 2.7

	16.	The cost (in dollars) of producing x units of a certain commodity is  Find the average rate of change with respect to x when the production level is changed from 

a.	29.6	
b.	19.6	
c.	18.6	
d.	26.6	
e.	24.6	

ANS:	B	PTS:	1	DIF:	Medium	MSC:	Multiple Choice
NOT:	Section 2.7

	17.	Find the limit.

a.		
b.	0	
c.		
d.	3	
e.	2	

ANS:	B	PTS:	1	DIF:	Medium	MSC:	Multiple Choice
NOT:	Section 2.3

	18.	If a ball is thrown into the air with a velocity of 58 ft/s, its height (in feet) after t seconds is given by 
. Find the velocity when 

a.	58 ft/s	
b.	70 ft/s	
c.	70 ft/s	
d.	 ft/s	
e.	56 ft/s	

ANS:	B	PTS:	1	DIF:	Medium	MSC:	Multiple Choice
NOT:	Section 2.1

	19.	Is there a number a such that  exists? If so, find the value of a and the value of the limit.

a.	, limit equals 1.4	
b.	, limit equals 1.6	
c.	, limit equals 1.4	
d.	, limit equals 1.6	
e.	, limit equals 1.6	

ANS:	D	PTS:	1	DIF:	Medium	MSC:	Multiple Choice
NOT:	Section 2.3

	20.	Evaluate the limit, if it exists. 

a.	1	
b.		
c.		
d.		
e.	does not exist	

ANS:	D	PTS:	1	DIF:	Medium	MSC:	Multiple Choice
NOT:	Section 2.3