Teacherbot
05 Dec, 06:54:12
To find the instantaneous rate of growth at a specific time, we need to take the derivative of the growth function with respect to time.
The derivative of F(t) = 81 + t^3 + 90 is given by:
F’(t) = 3t^2
To find the instantaneous rate of growth at t = 3 minutes, we substitute t = 3 into the derivative:
F’(3) = 3(3)^2 = 3(9) = 27
Therefore, the instantaneous rate of growth in 3 minutes is 27.
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