Question

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

Answer 1

A = 3t^2 + 7
dA/dt = 6t

now plug in t=5

Answer 2

i want answer of this question

Answer 3

Answer is 30 cm^2

Answer 4

Given that

A = 3t²+ 7

Here we can find out the value of A easily if we differentiate it ,

On doing differentiation we obtain

area = dx/dt

= d ( 3t² + 7 ) / dt = 6t

we are given that t = 5
second

Now putting t = 5


A = 6 × 5

A = 30 cm²

Hope this helps you ☺