Question
Asked Dec 11, 2019
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For an average person, the rate of change of weight W (in pounds) with respect to height h (in inches) is given approximately by the following formula,
dW
= 0.0018h?
dh
2.
Find W(h) if W(60)= 109.6 pounds. Also, find the weight of a person who is 5 feet. 7 inches tall
W(h) =|
lb.
A person who is 5 feet, 7 inches tall weighs about
(Round to the nearest tenth as needed.
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For an average person, the rate of change of weight W (in pounds) with respect to height h (in inches) is given approximately by the following formula, dW = 0.0018h? dh 2. Find W(h) if W(60)= 109.6 pounds. Also, find the weight of a person who is 5 feet. 7 inches tall W(h) =| lb. A person who is 5 feet, 7 inches tall weighs about (Round to the nearest tenth as needed.

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Expert Answer

Step 1

Given:

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dW = 0.0018h..(1) dh W (60) = 109.6 pounds

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Step 2

Calculation:

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To find W (h): For that, we have to integrate equation (1) with respect to h, dh= [(0.0018h² ) dh +C, Using [x"dx 3 fx'dx W (h) = 0.0018 %3D n+1 W (h) = 0.0006h +C...(2),(C is an integrating constant)

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Step 3
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Given that, W (60) =109.6 pounds Substitute h = 60 in equation (2), we get W (60) = 0.0006(60)' +C =109.6 0.0006 (60) +C =109.6 129.6 +C = 109.6 C =109.6–129.6 C =-20

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