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2. Given are functions g(x) =x and h(x) = 1–. The area enclosed by these two functions, the line x = 4 and the x-axis is rotated around the x-axis (see figure 1). Find the volume of the solid of revolution that arises by rotating this area. g(x) h(x) Figure 1: Functions g(x), h(x) and line x=4.

2. Given are functions g(x) =x and h(x) = 1–. The area enclosed by these two functions, the line x = 4 and the x-axis is rotated around the x-axis (see figure 1). Find the volume of the solid of revolution that arises by rotating this area. g(x) h(x) Figure 1: Functions g(x), h(x) and line x=4.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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2. Given are functions g(x) =x and h(x) = 1-. The area enclosed by these two functions, the line x = 4 and the x-axis is rotated around the x-axis (see figure 1). Find the volume of the solid of revolution that arises by rotating this area. g(x) h(x) 2 3 Figure 1: Functions g(x), h(x) and line x=4.
Transcribed Image Text:2. Given are functions g(x) =x and h(x) = 1-. The area enclosed by these two functions, the line x = 4 and the x-axis is rotated around the x-axis (see figure 1). Find the volume of the solid of revolution that arises by rotating this area. g(x) h(x) 2 3 Figure 1: Functions g(x), h(x) and line x=4.
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