2008 AP Multiple Choice Exam Name_______________

2008 AP Calculus BC Multiple Choice Exam

Section 1

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AP Calculus 2008 BC Multiple Choice 1. At time 0,

t

a particle moving in the -plane

xy

has velocity vector given by

( )

2

,5.

v t t t

=

What is the acceleration vector of the particle at time

3?

t

=

(A) 459,2 (B)

6,5

(C)

2,0

(D) 306 (E) 61 2.

2

x

xe dx

=

(A)

2

12

x

e C

+

(B)

2

x

e C

+

(C)

2

x

xe C

+

(D)

2

12

x

e C

+

(E)

2

x

e C

+

3.

0

sincoslim

x

x x x

is (A)

1

(B)

0

(C)

1

(D)

4

π

(E)

nonexistent

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AP Calculus 2008 BC Multiple Choice 4. Consider the series

1

.!

nn

en

∞=

If the ratio test is applied to the series, which of the following inequalities results, implying that the series converges? (A) lim1!

n

en

→∞

<

(B) !lim1

n

ne

→∞

<

(C) 1lim1

n

ne

→∞

+<

(D) lim11

n

en

→∞

<+

(E)

( )

lim11!

n

en

→∞

<+

5. Which of the following gives the length of the path described by the parametric equations

( )

3

sin

x t

=

and

5

t

y e

=

from

0

t

=

to

?

t

π

=

(A)

( )

23100

sin

t

t e dt

π

+

(B)

( )

23100

cos

t

t e dt

π

+

(C)

( )

423100

9cos25

t

t t e dt

π

+

(D)

( )

2350

3cos5

t

t t e dt

π

+

(E)

( )

22100

cos3

t

t e dt

π

+

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