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The volume of a cube is increasing at ...

The volume of a cube is increasing at a rate of 7 `cm^(2)//sec.` How fast is the suface area increasing when the length of an edge is 4cm?

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To solve the problem step by step, we will follow the mathematical reasoning presented in the video transcript. ### Step 1: Define the variables Let the length of an edge of the cube be \( x \) cm. ### Step 2: Write the formula for the volume of the cube The volume \( V \) of a cube is given by the formula: \[ ...
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