# calculus

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The side of a square are increasing at 2 inches per second. How fast is the diagonal increasing when the side is 3 inches?

• calculus -

5113

• calculus -

Diagonal --- d
side ---x

d^2 = x^2 + x^2
d = √2x
dd/dt = √2 dx/dt
at any length of x
dd/dt = √2(2)
= 2√2 inches per second

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thank you

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