The length of a rectangle is given by 6t + 5 and its height is √t, where t is time in seconds and the dimensions are in centimet ers. Find the rate of change of the area with respect to time.
1 answer:
MARK AS BRAINLIST
Step-by-step explanation:
L = 6t+5
H = √t
A = L*H
= (6t+5) *√t = 6t√t + 5√t
A'(t) = 6t * 1/2*√t + √t * 6 + 5/2*√t
= 6t/2√t + 6√t + 5/2√t
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