Find the volume of the given solid over the indicated region of integration. f(x.y) = 6x + 2y +7; R= {(x.y): - 15xs 4, 2sys 5) Which of the following integrals can be used to evaluate the volume of the solid? Select all that apply. 4 5 5 4 (6x+2y+7)dy dx O B. (6x+ 2y + 7)dy dx -12 2 -1 4 5 5 4 OC. (6x+ 2y +7)dx dy || (6x + 2y + 7)dx dy -12 2 - 1 The volume of the solid is (Type an exact answer.)

Find the volume of the given solid over the indicated region of integration. f(x.y) = 6x + 2y +7; R= {(x.y): - 15xs 4, 2sys 5) Which of the following integrals can be used to evaluate the volume of the solid? Select all that apply. 4 5 5 4 (6x+2y+7)dy dx O B. (6x+ 2y + 7)dy dx -12 2 -1 4 5 5 4 OC. (6x+ 2y +7)dx dy || (6x + 2y + 7)dx dy -12 2 - 1 The volume of the solid is (Type an exact answer.)

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...

See similar textbooks

Similar questions

A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in inches. a. Using the fact that the volume of the can is 25 cubic inches, express h in terms of x. b. Express the total surface area S of the can in terms of x.
Find the volume of the given solid over the indicated region of integration. f(x,y)=2x+3y+4; R={(x,y): −1≤x≤3, 3≤y≤5} What is the volume of the region? enter your response here
Using a triple integral to find the volume of the solid within the cylinder x^2+y^2=4 and between the planes z=1 and x+z=3 gives mπ.Find the value of m.
Set the limits of integration for finding the volume of the solid inside the sphere x2 + y2 + z2 = 16 and outside the cylinder x2 + y2 =4. Sketch the region in 3-D and its corresponding region in 2-D
SET UP the integral necessary to find the volume ofthe solid for the shaded area revolved about the givenaxis using ONLY the shell method. Equations: x=(1/2)y-1 and y=x2-2x+2 Revolved around the x-axis, with an integral with respect to x.
3. Find the volume of the solid bounded by x+y2=3z, and x2+y2=6x.
for the region bounded by y=3x, the x-axis, and x=1, determine which of the following is greater: the volume of the solid generated when the region is revolved about the x-axis or about the y-axis. when the region is revolved about the x-axis, the volume is ? when the region is revolved about the y-axis, the volume is ? Which volume is greater?
Find the Use the method of cylinders to determine the volume of the solid obtained by rotating the region bounded by y=4x and y=x^3 about the x-axis. For this problem assume that x≥0.
The region bounded above by y=2x and below by y=x2 is revolved about the y-axis to generate a solid. Which of the following integral calculates the volume of the solid by the Cylindrical Shell Method
The base of a solid is the region in the first quadrant bounded by the line y = -1/2x + 2 and the coordinate axes. If every cross-section perpendicular to the x-axis is a square, which of the following integrals represents the volume of a solid?
An area is bounded by y^2 =12x, x = 3. The area is located in the first quadrant. Calculate the volume of the solid revolution if the area is revolved about x=3?
What is the answer to the double integral of (x+8y)dA on the region 0<=x<=4, and 3<=y<=5?