Question

Suppose that the edge lengths ?, ?, and ? of a closed rectangular box are changing...

Suppose that the edge lengths ?, ?, and ? of a closed rectangular box are changing at the following rates: ??/?? = 1 ?/???, ??/?? = −2 ?/???, ??/?? = 1 ?/??

Find the rates at which the box’s (a) Volume (b) Surface Area (c) Diagonal length ? = √? ^2 + ?^ 2 + ?^ 2 Are changing at the instant when ? = 4, ? = 3, and ? = 2

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