chapter3(5) - MATH1010: Chapter 3 cont 1 DIFFERENTIATION...

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MATH1010: Chapter 3 cont… 1 DIFFERENTIATION RULES cont … Related Rates (Section 3.10 of Stewart, pg. 256) Recall: Over the past few weeks, we’ve spent lots of time exploring rules for differentiation. Having learned these rules, let’s now turn our attention to using them to solve applied problems. Example: The average metabolic rate for captive animals can be expressed as a function of weight by 75 . 0 2 . 140 x y = where x is the weight of the animal (in kg) and y is the metabolic rate (in kcal/day). Determine dt dy for a 250 kg elk that is gaining weight at a rate of 2 kg/day. [Source: “Calculus for the Life Sciences”, Greenwell, Ritchey, and Lial, 2003.] Example: Suppose that an oil slick has a circular area, and that its radius is expanding at 5 m/s. How fast is the area of the oil slick increasing when the radius is 30 m?
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MATH1010: Chapter 3 cont… 2 Key steps for related rates problems: 1. Read the problem to determine what is given and what is required.
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This note was uploaded on 09/13/2008 for the course MATH 1010u taught by Professor Kim during the Spring '08 term at Trinity University.

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chapter3(5) - MATH1010: Chapter 3 cont 1 DIFFERENTIATION...

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