- #1
whatlifeforme
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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.