Barrons AP Calculus

(D)

(E)

66.

(C)

(D)

67.

(A)

(B)

(C)

(D)

(E)

68.

(A)

(B)

(C)

(D)

(E)

69.

(A)

(B)

(C)

(D)

(A)

(B)

(E)

If  f(x)    is  continuous  at  the point   where   x   =   a,   which   of  the     following

statements  may be  false?

f   ′(a)    exists.

f(a)    is  defined.

Suppose  ,  where   k   is  a   constant.   Then        equals

3

4   −   k

4

4   +   k

4 k

CHALLENGE

The volume, in  cubic   feet,   of  an  “inner  tube”   with    inner   diameter    4   ft  and

outer   diameter    8   ft  is

4π^2

12π^2

8π^2

24π^2

6π^2

If  f(u)    =   tan−^1 u^2  and g(u)    =   eu, then    the derivative  of  f(g (u))    is