The figure shows a horizontal line y = c intersecting the curve y = 8x - 27x3. Find the number c such that the areas of the shaded regions are equal. y y=8x-27x3 y = c x i The boundaries of the shaded region are the y-axis, the line y = 1, and the curve y = y X. y = 1 1 R y=√√x (1, 1) X 1 Find the area of the region R by writing x as a function of y and integrating with respect to y.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter2: Functions And Graphs
Section2.4: Writing And Graphing Equations Of Lines
Problem 77E: Find the equation of the line perpendicular to the line y=3 and passing through the midpoint of the...
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Please help me with these questions. I am having a hard time understanding what to do. For the first question I get 4/9 as a fraction which is 0.44. But I been informed by my tutor it's wrong. And for the second. Question I am unable to wrap my head around

The figure shows a horizontal line y = c intersecting the curve y = 8x - 27x3. Find the number c such that the areas of the shaded regions are equal.
y
y=8x-27x3
y = c
x i
Transcribed Image Text:The figure shows a horizontal line y = c intersecting the curve y = 8x - 27x3. Find the number c such that the areas of the shaded regions are equal. y y=8x-27x3 y = c x i
The boundaries of the shaded region are the y-axis, the line y = 1, and the curve y =
y
X.
y = 1
1
R
y=√√x
(1, 1)
X
1
Find the area of the region R by writing x as a function of y and integrating with respect to y.
Transcribed Image Text:The boundaries of the shaded region are the y-axis, the line y = 1, and the curve y = y X. y = 1 1 R y=√√x (1, 1) X 1 Find the area of the region R by writing x as a function of y and integrating with respect to y.
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