y 6 5 2 -0.5 0 0.5 1 1.5 2 2.5 3 3.5 The shaded region shown above is bounded by the two functions given below in the first quadrant: y = 4x and y = x3 In order to find the volume of the solid obtained by rotating the shaded region around the indicated axis using Washer method, identify the correct representations for the outer radius R and inner radius r. Axis: y = 8

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.3: Cylinders And Cones
Problem 6E: Suppose that r=12 cm and h=15 cm in the right circular cylinder. Find the exact and approximate a...
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A.
R = 4x – 8,
= x - 8
r =
R = 4x,
r = x³
С.
None of the representations shown
D.
y
R = 8 – y,
r = 8 -
4
Е.
R = x',
r = 4x
F.
R = 8 – x³,
r = 8 – 4x
G.
R = 8 – 4x,
r = 8 – x³
Н.
R = x – 8,
r = 4x – 8
R = y,
r =
B.
Transcribed Image Text:A. R = 4x – 8, = x - 8 r = R = 4x, r = x³ С. None of the representations shown D. y R = 8 – y, r = 8 - 4 Е. R = x', r = 4x F. R = 8 – x³, r = 8 – 4x G. R = 8 – 4x, r = 8 – x³ Н. R = x – 8, r = 4x – 8 R = y, r = B.
94
y
8
5-
4-
1-
-0.5 0
0.5
1
1.5
2.5
3
3.5
-1
The shaded region shown above is bounded by the two functions given below in the first quadrant:
y = 4x
and
y = x3
In order to find the volume of the solid obtained by rotating the shaded region around the indicated axis using Washer method,
identify the correct representations for the outer radius Rand inner radius r.
Axis:
y = 8
А.
R = 4x – 8,
r = x³ – 8
R = 4x,
r = x³
С.
None of the representations shown
D.
R = 8 – y,
r = 8 -
4
2.
B.
Transcribed Image Text:94 y 8 5- 4- 1- -0.5 0 0.5 1 1.5 2.5 3 3.5 -1 The shaded region shown above is bounded by the two functions given below in the first quadrant: y = 4x and y = x3 In order to find the volume of the solid obtained by rotating the shaded region around the indicated axis using Washer method, identify the correct representations for the outer radius Rand inner radius r. Axis: y = 8 А. R = 4x – 8, r = x³ – 8 R = 4x, r = x³ С. None of the representations shown D. R = 8 – y, r = 8 - 4 2. B.
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