Question:
The area of a blot of ink is growing such that after t second ,its area is given by A=(3tsquare 7)cmsquare.calculate the rate of increase of area at t=5second.
Answer:
Given, area A = 3t2 + 7
Differentiate w.r.t. t, we get
dA/dt = 6t
Now, rate of increase of area at = 6 is
(dA/dt)t=6 = 6 * 5 = 30 cm2 /sec
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