Secant Curve Region Problem: Let R be the region under the graph of y = sec x from x = 0

Chapter 11, Problem 6

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Secant Curve Region Problem: Let R be the region under the graph of y = sec x from x = 0 to x = /3 (Figure 11-4i). Figure 11-4i a. Find the x-coordinate of the centroid of R. b. R is rotated about the x-axis to form a solid. Find the x-coordinate of the centroid. c. True or false: The centroid of a region and the centroid of the solid formed by rotating that region about the x-axis have the same x-coordinate.

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