Posted by mat on Friday, July 22, 2011 at 8:28pm.
(-1/x^2)dx/dt - (1/y^2)dy/dt = 0
when x=15
1/15 + 1/y = 1/9
1/y = 2/45
y = 45/2
(-1/225)(8) - (4/2025)(dy/dt) = 0
I will let you do the arithmetic
-dx/x^2 - dy/y^2 = 0
so
dy/dt = - (y^2/x^2) dx/dt
when x = 15, find y
1/15 + 1/y = 1/9
1/y = 5/45 - 3/45 = 2/45
so y = 45/2
dy/dy = - (45^2/4/225)(8) = -18
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