5 Steps to a 5 AP Calculus BC 2019

382 STEP 5. Build Your Test-Taking Confidence

Section I---Part B

Number of Questions Time Use of Calculator

15 45 Minutes Yes

Directions:

Use the same answer sheet for Part A.Please note that the questions begin with number 76. This is not an error. It

is done to be consistent with the numbering system of the actual AP Calculus BC Exam. All questions are given

equal weight. Points arenotdeducted for incorrect answers and no points are given to unanswered questions.

Unless otherwise indicated, the domain of a functionfis the set of all real numbers. If the exact numerical value

does not appear among the given choices, select the best approximate value. The use of a calculator ispermitted

in this part of the exam.

76. What is the acceleration vector of a particle at
    t=2 if the particle is moving in thexy-plane
    and its velocity vector isv(t)=<t,4t^3 >?

(A) 48

(B) <0, 48>

(C) <1, 48>

(D) <2, 48>

77. The equation of the normal line to the graph

y=e^2 xat the point where

dy

dx

=2is

(A) y=−

1

2

x− 1

(B) y=−

1

2

x+ 1

(C) y= 2 x+ 1

(D) y=−

1

2

(

x−

ln 2

2

)

+ 2

0 x 1 x 2 x 3 x 4

f

x

y

78. The graph off′, the derivative off, is shown
    above. At which value ofxdoes the graph of f
    have a point of inflection?

(A) x 1

(B) x 2

(C) x 3

(D) x 4

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