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# (a) The volume of a growing spherical cell is V 4 3r 3 , where the radius r is measured ISBN: 9781305270336 484

## Solution for problem 16 Chapter 3.7

Single Variable Calculus: Early Transcendentals | 8th Edition

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Problem 16

(a) The volume of a growing spherical cell is V 4 3r 3 , where the radius r is measured in micrometers (1 m 1026 m). Find the average rate of change of V with respect to r when r changes from (i) 5 to 8 m (ii) 5 to 6 m (iii) 5 to 5.1 m (b) Find the instantaneous rate of change of V with respect to r when r 5 m. (c) Show that the rate of change of the volume of a sphere with respect to its radius is equal to its surface area. Explain geometrically why this result is true. Argue by analogy with Exercise 13(c).

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Class Notes March 15 2016 th DEVIANCE PT 1 1. DEFINING DEVIANCE AND DEFINING PROBLEMS THE ACTUAL DEFINITION OF DEVIANCE: SOMETHING SOME ONE IS OR DOES THAT GOES AGAINST SOCIAL NORMS AND IS NEGATIVELY LOOKED UPON BY THE MAJORITY OF PEOPLE A. SOMETIMES, PEOPLE CONFUSE SOMETHING THAT HAS STATISTICAL SIGNIFICANCE WITH SOMETHING THAT’S DEVIANT. EVEN THOUGH SOMETHING COULD BE HIGHLY UNLIKELY OR UNUSUAL, IT’S NOT ALWAYS DEVIANT. i. EX: THE PRESIDENCY; NOT NEGATIVELY LOOKED UPON EVEN THOUGH ONLY A MINUTE PROPORTION OF THE POPULATION HAS EVEN COME CLOSE TO OCCUPYING SUCH A POSITION. ii. WITHIN A POPULATION, A 20-30% OCCURANCE RATE COULD BE STATISTICALLY SIGNIFICANT. 10% OF THE POPULATION IS LEFT HANDED, BUT THIS DOESN’T MAK

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##### ISBN: 9781305270336

The answer to “(a) The volume of a growing spherical cell is V 4 3r 3 , where the radius r is measured in micrometers (1 m 1026 m). Find the average rate of change of V with respect to r when r changes from (i) 5 to 8 m (ii) 5 to 6 m (iii) 5 to 5.1 m (b) Find the instantaneous rate of change of V with respect to r when r 5 m. (c) Show that the rate of change of the volume of a sphere with respect to its radius is equal to its surface area. Explain geometrically why this result is true. Argue by analogy with Exercise 13(c).” is broken down into a number of easy to follow steps, and 111 words. This textbook survival guide was created for the textbook: Single Variable Calculus: Early Transcendentals, edition: 8. Since the solution to 16 from 3.7 chapter was answered, more than 225 students have viewed the full step-by-step answer. Single Variable Calculus: Early Transcendentals was written by and is associated to the ISBN: 9781305270336. The full step-by-step solution to problem: 16 from chapter: 3.7 was answered by , our top Calculus solution expert on 03/19/18, 03:29PM. This full solution covers the following key subjects: . This expansive textbook survival guide covers 95 chapters, and 5427 solutions.

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