AP Calculus Section 1 Part A. 25 Questions. 55 minutes. A Calculator MAY NOT be used in this part of the exam.

The graphs of the functions f and g are shown. The value of the Lim _x→1 f(g(x)) is

• 1

• 2

• 3

• nonexistent

• 6

• 2

• 1

• 0

For t≥0 the velocity of a particle is given by V(t)=(t-5)(t-2)² . At what values of t is the acceleration of the particle equal to 0?

• 2 only

• 4 only

• 2 and 4

• 2 and 5

The cost, in dollars, to shred the confidential documents of a company is modeled by C, a function of the weight of the documents in pounds. Of the following what is the best interpretation of C'(500)=80

• The cost to shred 500 pounds of paper is $80.

• The average cost to shred documents is 80/500 dollar per pound

• Increasing the weight of documents by 500 pounds will increase the cost by $80

• The cost to shred the documents is increasing $80 per pound when the weight of the documents is 500 pounds.

• 9 / 2

• 15 / 2

• 17 / 2

• undefined

At time t, the population of bacteria grows at a rate 5e^0.2t+4t grams per day. By how many grams has the population grown from time t=0 days to t=10 days?

• 5e²+40

• 5e²+195

• 25e²+175

• 25e²+375

Given the graph of the function f. For how many values of x in the open interval (-4,4) is f discontinuous?

• one

• two

• three

• four

The graph of which of the following functions has exactly one horizontal asymptote and no vertical asymptotes?

• 
• 
• 
• 

The local linear approximation to the function g at x= 1/2 is y=4 x+1. What is the value of g(1/2)+g'(1/2)?

• 4

• 5

• 6

• 7

if f(x)=(2x²+5)⁷, then f'(x)=

• 7(4x)⁶

• 7(2x²+5)⁶

• 14x²(2x²+5)⁶

• 28x(2x²+5)⁶