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mshurney
03.03.2020 •
Mathematics
A rectangle is growing such that the length of a rectangle is 5t+4 and its height is t4, where t is time in seconds and the dimensions are in inches. Find the rate of change of area, A, with respect to time. g
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Ответ:
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
Ответ: