Mathematics

Mathematics

Problem

Let

R

be the region bounded above by

y=4-x^{2}

and below by

y=1

for

-\!\sqrt{3}\le x\le\sqrt{3}

. When

R

is revolved about the

x

-axis, determine the outer radius

R(x)

and inner radius

r(x)

for a washer located at position

x

.

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