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Mathematics
Daniel Padilla
30 December, 10:05
Suppose xy=-2 and dy/dt=-4. Find dx/dt when x=-1.
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Tyrell Andrews
30 December, 13:13
0
-2
Step-by-step explanation:
Dividing the given equation by x, we find y to be ...
y = - 2/x
Then ...
dy/dx = 2/x^2
and ...
dy/dt = (2/x^2) dx/dt
dx/dt = (x^2/2) dy/dt
When dy/dt = - 4 and x=-1, this is ...
dx/dt = (-1) ^2/2 (-4) = (1/2) (-4)
dx/dt = - 2
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