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## Homework Statement

for the curve x= sqrt(64-y^2), -4<=y<=4

(identify from multiple choice

1. setup an integral for the curve.

2. identify the graph

3. find the length of the curve.

## Homework Equations

x = sqrt(64-y^2), -4<=y<=4

## The Attempt at a Solution

1. dx/dy = y*sqrt(64-y^2)

2. (dx/dy)^2 = y^2 * (64-y^2)

3. integral (-4 to 4) sqrt(1 + 64y^2 - y^4)

1. however, the answer for integral for the length is

L=Integral(-4,4) 8(64-y^2)^(-1/2) dy. i'm not sure how they got that?

2. i'm not sure how to graph this function.