The area of the region that lies to the right of the y-axis and to the left of the parabola æ = 2y – y? (the shaded region in the figure) is given by the integral S° (2y – y²) dy. (Turn your head clockwise and think of the region as lying belo the curve a = 2y – y² trom y = 0 to y = 2.) Find the area of the region. y A x = 2y – y? 1 Area =

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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how do i do problem 2?

The area of the region that lies to the right of the y-axis and to the left of the
2y – y? (the shaded region in the figure) is given by the integral
So (2y – y) dy. (Turn your head clockwise and think of the region as lying below
2y – y? from y = 0 to y = 2.) Find the area of the region.
parabola z =
the curve x =
y
2
x = 2y – y?
1
Area =
Transcribed Image Text:The area of the region that lies to the right of the y-axis and to the left of the 2y – y? (the shaded region in the figure) is given by the integral So (2y – y) dy. (Turn your head clockwise and think of the region as lying below 2y – y? from y = 0 to y = 2.) Find the area of the region. parabola z = the curve x = y 2 x = 2y – y? 1 Area =
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