1.

Find the approximate charge in the volume v of a cube of side x metres caused by increasing the sind by 2%.

Answer»

w.r.t volume of a cube = v = x3.

⇒ dv/dx = 3x2 dx

Δx = 0.02 x

∴ dv = (dv/dx) Δx = (3x2) Δx = 3x2 x 0.02x

= 0.06 x3m3



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