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Math · Calculus
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The body mass index (BMI) is a number that can be calculated for any individual by using the equationn 703w BMI = where weight (w) is in pounds and height (h) is in inches. Use this information to complete the following a. Calculate the BMI for a person who weighs 220 pounds and is 64 tall. BMI (Round to the nearest whole number as needed.) b. How much weight would the person in part a have to lose to reach a BMI of 25.2? The person would have to lose pounds. (Round to the nearest whole number as needed.) 703 (130) c. For a 130-lb. female, what is the rate of change of BMI with respect to height? Hint: Take the derivative of the function f(h) The rate of change with respect to height is d. Calculate f (66). f (66)- (Do not round until the final answer. Then round to two decimal places as needed.) Enter your answer in each of the answer boxes.

Suppose that f(x) and g(x) are differentiable functions such that f(4)- f (4) 9, g(4)-7, and g(4)-8. Find h(4) when h(x)-f(x)/g(x). h(4)(Simplify your answer.)

Consider the following table of values of the functions fand g and their derivatives D,(gx)) at x 2 is at various points. a. Find D,(ig(x)]) atx-2. b. Find D,(glf(x)]) at x-1 (Type an integer or a simplified fraction.) D,(g[f(刈) at x = 1 is D (Type an integer or a simplified fraction.) 41x) f (x) g(x) g x) 2 -4 4 5 4

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