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consider a right triangle with hypotenuse of a fixed length 45 cm...?
consider a right triangle with hypotenuse of a fixed length 45 cm and variable legs of lengths x and y respectively. If x increases at the rate of 2 cm/ min, how fast is y changing with x is 4 cm?
1 Answer
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- ?Lv 510 years ago
x ² + y ² = 45
d/dt (x ² + y²) = 0
2x dx/dt + 2y dy/dt = 0
2x * 2 = - 2 y dy/dt
4x = -2y dy/dt
dy/dt = -2x/y
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