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1-8 Find the volume of the solid that resul region is revolved about the indicated axis. 1. Ay 2. y = v3-x 3.

1-8 Find the volume of the solid that resul region is revolved about the indicated axis. 1. Ay 2. y = v3-x 3.

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.1: The Rectangular Coordinate System
Problem 40E: Find the exact volume of the solid that results when the region bounded in quadrant I by the axes...
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Find the volume of the solid that results  when  the shaded region  is revolved  about the indicated  axis for question 1. Draw graph using the circle  or washer slicing method.

Figure 6.2.17 V QUICK CHECK EXERCISES 6.2 (See page 358 for answe 1. A solid S extends along the x-axis from x 1 to x = 3. For x between 1 and 3. the cross-sectional area of S pendicular to the x-axis is 3x². An integral expression for the volume of S is per- The value of this integral is 2. A solid S is generated by revolving the region between the x-axis and the curve y = Vsin x (0<xT) about the X-axis. (a) For x between 0 and 7. the cross-sectional area of S perpendicular to the x-axis at x is A(x) (b) An integral expression for the volume of S is (c) The value of the integral in part (b) is 3. A solid S is generated by revolving the region enclosed by the line y = 2x +1 and the curve y = x+1 about the X-axis. EXERCISE SET 6.2 C CAS 1-8 Find the volume of the solid that results when the shaded region is revolved about the indicated axis. 1. 2. y =, 2. Xy = 2-x2
Transcribed Image Text:Figure 6.2.17 V QUICK CHECK EXERCISES 6.2 (See page 358 for answe 1. A solid S extends along the x-axis from x 1 to x = 3. For x between 1 and 3. the cross-sectional area of S pendicular to the x-axis is 3x². An integral expression for the volume of S is per- The value of this integral is 2. A solid S is generated by revolving the region between the x-axis and the curve y = Vsin x (0<xT) about the X-axis. (a) For x between 0 and 7. the cross-sectional area of S perpendicular to the x-axis at x is A(x) (b) An integral expression for the volume of S is (c) The value of the integral in part (b) is 3. A solid S is generated by revolving the region enclosed by the line y = 2x +1 and the curve y = x+1 about the X-axis. EXERCISE SET 6.2 C CAS 1-8 Find the volume of the solid that results when the shaded region is revolved about the indicated axis. 1. 2. y =, 2. Xy = 2-x2
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