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The length ℓ, width w, and height h of a box change with time. At a...

The length ℓ, width w, and height h of a box change with time. At a certain instant the dimensions are ℓ = 2 m and

w = h = 9 m,

and ℓ and w are increasing at a rate of 7 m/s while h is decreasing at a rate of 8 m/s. At that instant find the rates at which the following quantities are changing.

The length of a diagonal?

Math   Calculus   
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