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Calculus
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13 Dec 2019

For the average person thats still growing, the rate of change of weight, W (in pounds) with respect to height, h (in inches) is approximately W(h)=0.0015h^2 (lbs/in). Suppose the average person that is 60 inches tall weighs 108 pounds. Find the weight of the average person that is 5 foot 10 inches tall.

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Bunny Greenfelder
Bunny GreenfelderLv2
17 Dec 2019
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Related questions

Please help me out as i am really strggling

A person?s weight depends on both the amount of calories consumed and the energy
used. Moreover, the amount of energy used depends on a person?s weight ? the
average amount of energy used by a person is 17.5 calories per pound per day.
Thus, the more weight a person loses, the less energy the person uses (assuming the
person maintains a constant level of activity). An equation that can be used to
model weight loss is

dW/dt = C/3500 - (17.5/3500)W

where W is the person?s weight (in pounds), t is the time in days, and C is the constant daily
calorie consumption.
(a) Find the function W(t) that gives the person?s weight at day t.
(b) Consider a person who weighs 180 pounds and begins a diet of 2500 calories per day.
How long will it take this person to lose 10 pounds? 35 pounds?
(c) Use a graphing utility to graph the function W(t). What is the limiting weight?
(d) Repeat part (b) and (c) for a person who weighs 200 pounds when the diet is started.



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