BC Version - Section I - Part A

28 Questions - 55 Minutes

1) Given

a)

b)

c)

d)

e)

2) Give the volume of the solid generated by revolving the region bounded by the graph of

a)

b)

c)

d)

e)

3) The graph of the

a)

b)

c)

d)

e)

4) Determine dy/dt, given that

a)

b)

c)

d)

e)

5) The function

a)

b)

c)

d)

e)

6) Determine

a)

b)

c)

d)

e)

7) Give the polar representation for the circle of radius 3 centered at ( 0 , -3 ).

a)

b)

c)

d)

e)

8) Determine

a)

b)

c)

d)

e)

9) Determine

a)

b)

c)

d)

e)

10) Give the radius of convergence for the series

a)

b)

c)

d)

e)

11) Determine

a)

b)

c)

d)

e)

12) The position of a particle moving along the

I)t= 1/8

II)t= 1/6

III)t= 1

IV)t= 2

a) II, III and IV

b) I and II

c) I, II and III

d) III and IV

e) I, III and IV

13) Determine

a)

b)

c)

d)

e)

14) Determine the

a)

b)

c)

d)

e)

15) The function

a)

b)

c)

d)

e)

16) Give the average value of the function

a)

b)

c)

d)

e)

17) A rectangle has both a changing height and a changing width, but the height and width change so that the area of the rectangle is always 30 square feet. Give the rate of change of the width (in ft/sec) when the height is 11 feet, if the height is decreasing at that moment at the rate of 11/10 ft/sec.

a)

b)

c)

d)

e)

18) The graph of the

a)

b)

c)

d)

e)

19) A rectangle has its base on the

a)

b)

c)

d)

e)

20) Compute

a)

b)

c)

d)

e)

21) Determine

a)

b)

c)

d)

e)

22) Determine

a)

b)

c)

d)

e)

23) Give the exact value of

a)

b)

c)

d)

e)

24) Determine

a)

b)

c)

d)

e)

25) Give the derivative of

a)

b)

c)

d)

e)

26) Give the first 3 nonzero terms in the Taylor series expansion about

a)

b)

c)

d)

e)

27) Determine

a)

b)

c)

d)

e)

28) Which of the following series converge(s)?

a) B only

b) A, B and C

c) B and C

d) A and B

e) A and C