Consider the picture above which shows the region bounded by y = 4 and y = x and the y- axis. a) Write an integral expression in terms of x (using vertical rectangles) for the volume of the solid formed if this region is revolved about the line y = -3. b) Solve the equation y = x for x. c) Write an integral expression in terms of y (that is, using horizontal rectangles) for the volume of the solid formed if this region is revolved about the y-axis.
Consider the picture above which shows the region bounded by y = 4 and y = x and the y- axis. a) Write an integral expression in terms of x (using vertical rectangles) for the volume of the solid formed if this region is revolved about the line y = -3. b) Solve the equation y = x for x. c) Write an integral expression in terms of y (that is, using horizontal rectangles) for the volume of the solid formed if this region is revolved about the y-axis.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter8: Polynomials
Section8.4: Special Products
Problem 34MCQ
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Consider the picture above which shows the region bounded by y = 4 and y = x and the y-
axis.
a) Write an integral expression in terms of x (using vertical rectangles) for the volume of the
solid formed if this region is revolved about the line y = -3.
b) Solve the equation y =
x° for x.
c) Write an integral expression in terms of y (that is, using horizontal rectangles) for the
volume of the solid formed if this region is revolved about the y-axis.
2.
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