(a) Explanation Given information: Bone mass: an expression for the mass m of a human femur of length L in terms of the outer radius r , the inner radius r in and their ratio k = r in / r . More generally, if the bone density is ρ , measured in g/cm 3 , then bone mass is given by the equation m = π r 2 L [ ρ − ( ρ − 1 ) k 2 ] . It may happen that both ρ and k change with age t . Calculation: Bone mass is given by the equation m = π r 2 L [ ρ − ( ρ − 1 ) k 2 ] Differentiating both sides of the equation with respect (b) To determine To find: an expression for the rate of change of m with respect to t when k changes during aging.

Bundle: Biocalculus: Calculus, Probability, And Statistics For The Life Sciences + Webassign Printed Access Card For Stewart/day's Biocalculus: Calculus For Life Sciences, 1st Edition, Multi-term

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ISBN: 9781305779037

Author: James Stewart, Troy Day

Publisher: Cengage Learning

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Chapter 3.5, Problem 89E

(a)

To determine

To find: an expression for the rate of change of m with respect to t .

(b)

To determine

To find: an expression for the rate of change of m with respect to t when k changes during aging.

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Chapter 3.5, Problem 88E

Chapter 3.5, Problem 90E

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Chapter 3 Solutions

Bundle: Biocalculus: Calculus, Probability, And Statistics For The Life Sciences + Webassign Printed Access Card For Stewart/day's Biocalculus: Calculus For Life Sciences, 1st Edition, Multi-term

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an expression for the rate of change of m with respect to t .

Solution Summary: The author calculates the bone mass of a human femur of length L in terms of the outer radius r, the inner radius r_in and their ratio

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To find: an expression for the rate of change of m with respect to t .

To find: an expression for the rate of change of m with respect to t when k changes during aging.

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