A rectangle is growing such that the length of a rectangle is 5t + 4 and its height is t, where t is time in seconds and the dimensions are in inches. Find the rate of change of area, A, with respect to time. O A) da = t* (16 + 25t) square inches/second O B) dA = t° (16 + 25t) square inches/second %3D O C) dA = t³ (16 + 20t) square inches/second O D) dA = t*(12+ 25t) square inches/second O E) dA = t° (25t + 4) square inches/second

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section: Chapter Questions
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A rectangle is growing such that the length of a rectangle is 5t + 4 and its height is t", where t is
time in seconds and the dimensions are in inches. Find the rate of change of area, A, with respect
to time.
O A) dA = t*(16 + 25t) square inches/second
%3D
O B) dA = t° (16 + 25t) square inches/second
C) dA = t³ (16 + 20t) square inches/second
%|
dt
O D)
%3D
dt
- = t* (12 + 25t)square inches/second
O E) dA = t square inches/second
(25t + 4)
Transcribed Image Text:A rectangle is growing such that the length of a rectangle is 5t + 4 and its height is t", where t is time in seconds and the dimensions are in inches. Find the rate of change of area, A, with respect to time. O A) dA = t*(16 + 25t) square inches/second %3D O B) dA = t° (16 + 25t) square inches/second C) dA = t³ (16 + 20t) square inches/second %| dt O D) %3D dt - = t* (12 + 25t)square inches/second O E) dA = t square inches/second (25t + 4)
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