Find the center of mass of the region bounded by y = 34 - x, x = 0, y = 0 with mass density 8(x, y) = x².(Use symbolic notation and fractions where needed. Give your answer as point coordinates in the form (*, *).)PCM =

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Answered: Find the center of mass of the region…

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter8: Further Techniques And Applications Of Integration

Section8.3: Volume And Average Value

Problem 14E

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A soda can is made from 40 square inches of aluminum. Let x denote the radius of the top of the can, and let h denote the height, both in inches. a. Express the total surface area S of the can, using x and h. Note: The total surface area is the area of the top plus the area of the bottom plus the area of the cylinder. b. Using the fact that the total area is 40 square inches, express h in terms of x. c. Express the volume V of the can in terms of x.

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Find the center of mass of the region bounded by y = 34 - x, x = 0, y = 0 with mass density 8(x, y) = x². (Use symbolic notation and fractions where needed. Give your answer as point coordinates in the form (*, *).) PCM =

Find the center of mass of the region bounded by y = 34 - x, x = 0, y = 0 with mass density 8(x, y) = x². (Use symbolic notation and fractions where needed. Give your answer as point coordinates in the form (, ).) PCM =