Your Mark:Problem #3: Use cylindrical coordinates to find the volume of the solid bounded by the graphs of z = 87-x-1² and z = 6.Enter your answer symbolically,as in these examplesProblem #3:

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Answered: Your Mark: Problem #3: Use cylindrical…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Can you show me how to solve this? Also, can you go in-depth and explain how to find the radius as well as which method to use rather it be washer or shell?
2. The figure shows the curves of the equations: y = 2x², y = 4x - 2, and y = 8. Find the volume of the solid obtained by rotating the region bounded by the three curves about the y-axis. (Just express it as an integral formula, and its value does not to be calculated.) (a) Use the method of washers (b) Use the method of cylindrical shells (Hint: You need divide the region into two parts first.)
no. 19
Needed to be solved correclty in 30 minutes and get the thumbs up . please show neat and clean work and provide correct solution
Question 13 > A cylinder shaped can needs to be constructed to hold 500 cubic centimeters of soup. The material for the sides of the can costs 0.02 cents per square centimeter. The material for the top and bottom of the can need to be thicker, and costs 0.08 cents per square centimeter. Find the dimensions for the can that will minimize production cost. Helpful information: h: height of can, r: radius of can Volume of a cylinder: V = Tr'h Area of the sides: A = 2nrh %3D Area of the top/bottom: A = ar? To minimize the cost of the can: Radius of the can: Height of the can: Minimum cost: cents
8. A football is in the shape of a solid obtained by rotating an ellipse a² b² inflated NFL football averages 11.125 inches in length and 28.25 inches in center circumference. If the volume of the ball is Tab², how much air does the football contain? (neglect material thickness) 3 4 = 1 about its major axis. An
Explain step by step the questions below: 1.a) Disk method: how we can use the disk method to find the volume of a solid of revolution. 1.b) Finding the volume of a solid: simply describe when it is necessary to use more than one integral. to find the volume of a solid of revolution.

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Your Mark: Problem #3: Use cylindrical coordinates to find the volume of the solid bounde Enter your answer symbolically, Problem #3: les