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# You can use integrals to find the volume of a solid object that has a variable

ISBN: 9781559536547 285

## Solution for problem 29 Chapter 6-8

Calculus: Concepts and Applications | 2nd Edition

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Calculus: Concepts and Applications | 2nd Edition

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Problem 29

You can use integrals to find the volume of a solid object that has a variable cross-sectional area. The solid cone in Figure 6-8e is formed by rotating about the x-axis the region under the line y = (r/h)x from x = 0 to x = h (the height of the cone). Find the volume dV of the disk-shaped slice of the solid shown in terms of the sample point (x, y) and the differential dx. Then integrate to find the volume. Show that your answer is equivalent to the geometric formula for the volume of a cone, Figure 6-8e

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ECON 2306 Test #2 PREVIEW SHEET 1. What is meant by utility Satisfaction …isoutility Equal Satisfaction 2. What is meant by marginal utility Additional Satisfaction 3. What is the formula for marginal utility ΔTU/ΔQ (change in total utility divided by change in quantity) 4. What is the formula for a budget constraint if only two goods may be purchased I...

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