Answer:
Therefore the rate of change of area square inches/ s
Step-by-step explanation:
Given that,
A rectangle is growing such that the length of rectangle is(5t+4) and its height is t⁴.
Where t is in second and dimensions are in inches.
The area of a rectangle is = length× height
Therefore the area of the rectangle is
A(t) = (5t+4) t⁴
⇒A(t) = t⁴(5t+4)
To find the rate change of area we need to find out the first order derivative of the area.
Rules:
A(t) = t⁴(5t+4)
Differentiate with respect to t
Therefore the rate of change of area square inches/ s