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The volume V and paper surface area A of a conical paper cup are given by v = mrh A = arVP + h? where r is the radius of the base of the cone and h is the height of the cone. a. By eliminating h, obtain the expression for A as a function of r and V. b. Create a user-de ned function that accepts R as the only argument and computes A for a given value of V. Declare V to be global within the function.

The volume V and paper surface area A of a conical paper cup are given by v = mrh A = arVP + h? where r is the radius of the base of the cone and h is the height of the cone. a. By eliminating h, obtain the expression for A as a function of r and V. b. Create a user-de ned function that accepts R as the only argument and computes A for a given value of V. Declare V to be global within the function.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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The volume V and paper surface area A of a conical paper cup are given by V =rh A = arVP + h? where r is the radius of the base of the cone and h is the height of the cone. a. By eliminating h, obtain the expression for A as a function of r and V. b. Create a user-de ned function that accepts R as the only argument and computes A for a given value of V. Declare V to be global within the function. c. For V_ 10 in.3, use the function with the fminbnd function to compute the value of r that minimizes the area A. What is the corresponding value of the height h? Investigate the sensitivity of the solution by plotting V versus r. How much can R vary about its optimal value before the area increases 10 percent above its minimum value
Transcribed Image Text:The volume V and paper surface area A of a conical paper cup are given by V =rh A = arVP + h? where r is the radius of the base of the cone and h is the height of the cone. a. By eliminating h, obtain the expression for A as a function of r and V. b. Create a user-de ned function that accepts R as the only argument and computes A for a given value of V. Declare V to be global within the function. c. For V_ 10 in.3, use the function with the fminbnd function to compute the value of r that minimizes the area A. What is the corresponding value of the height h? Investigate the sensitivity of the solution by plotting V versus r. How much can R vary about its optimal value before the area increases 10 percent above its minimum value
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