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The area of a blot of ink is growing suc...

The area of a blot of ink is growing such that after t seconds, its area is given by `A = (3t^(2) +7) cm^(2)`. Calculate the rate of increase of area at t=5 second.

Text Solution

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The correct Answer is:
`30 cm^(2) s^(-1)`
A = `3t^(2) + 7 cm^(2)`
`(dA)/(dt)= (d)/(dt) (3t^(2)+ 7) = 6t`
at `" "t= 5, (dA)/(dt)= 30 cm^(2)//s`
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