ers 6, Review\ Question 10, 6.4.69\ HW Score:

89.15%,16.05

of 18 points\ Part 1 of 3\ Points: 0.33 of 1\ Consider the region

R

bounded by curves

y=ax^(2)+11,y=0,x=0

, and

x=11

, for

a>=-1

. Let

S_(1)

and

S_(2)

be solids generated when

R

is revolved about the

x

- and

y

-axes, respectively.\ a. Find

V_(1)

and

V_(2)

, the volumes of

S_(1)

and

S_(2)

, as functions of a.\ b. Are there values of

a>=-1

for which

V_(1)(a)=V_(2)(a)

?\ a. Find

V_(1)

as a function of a.\

V_(1)(a)=

\ (Type an exact answer.)

Consider the region R bounded by curves y=ax2+11,y=0,x=0, and x=11, for a1. Let S1 and S2 be solids generated when R is revolved about the x - and y-axes, respectively a. Find V1 and V2, the volumes of S1 and S2, as functions of a. b. Are there values of a1 for which V1(a)=V2(a) ? a. Find V1 as a function of a. V1(a)= (Type an exact answer.)