Q1. Let R be the region enclosed by the curve y = 3x+e% and the lines x = 1, x = 2, and y = 0. Let S be the solid whose flat base is the region R and whose cross-sections perpendicular to the X-axis are squares. Which of the following definite integrals computes the total volume of S ? | (922 + e") dx | T(3x + e*)° dæ 27(3x² + xe") dx А. В. C. | (9x2 + e'6x*) dæ | (9a? + 6xe** + el6u* ) dx | (9x2 + 6xe*# + e®r) dx D. 16x² Е. F.

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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Q1. Let R be the region enclosed by the curve
y = 3x+et and the lines x = 1, x = 2, and y = 0.
Let S be the solid whose flat base is the region R and whose cross-sections perpendicular to the
X-axis are squares.
Which of the following definite integrals computes the total volume of S ?
| (92? + es) dx
| T(3r + et")° dx
27 (3x² + xet") dx
А.
В.
С.
| (92? + e16z") dx
| (9x? + 6xe +e!6z²) dx
D.
Е.
16x2
F.
| (922 + 6xet + e®r) dx
Transcribed Image Text:Q1. Let R be the region enclosed by the curve y = 3x+et and the lines x = 1, x = 2, and y = 0. Let S be the solid whose flat base is the region R and whose cross-sections perpendicular to the X-axis are squares. Which of the following definite integrals computes the total volume of S ? | (92? + es) dx | T(3r + et")° dx 27 (3x² + xet") dx А. В. С. | (92? + e16z") dx | (9x? + 6xe +e!6z²) dx D. Е. 16x2 F. | (922 + 6xet + e®r) dx
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