1.

Find the approximate change in the volume V of a cube of side x meters caused by increasing side by 2%.

Answer»

Note that V = x3 

or dV = (dV/dx) Δx = (3x2) Δx

= (3x2) (0.02x) = 0.06 x3m3 

Thus, the approximate change in volume is 0.06 x3m3



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