3. y² + 4x – 8 = 0 and Y = 2x

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter8: Further Techniques And Applications Of Integration
Section8.3: Volume And Average Value
Problem 1E
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please answer VI number 3 and show the detailed solution. thank you!

П.
Find the area bounded by the curves
y = x', x = 2, and y =0 using double integration.
Find the volume generated by revolving the area enclosed by the curve x? + y = 16 about
the y-axis.
II
Find the volume generated by revolving the area bounded by the lines x+ y = 6, x =0
and y = 0, about x-axis.
IV.
V.
Find the area enclosed by the curve r= 2cos0
VI.
Find the area bounded by the ff. curves and lines:
1. the bop of y? = x ² (4 - x)
2. 4y 3D x?- 2nх, у%3D 0, х %3D 1, х%3D 4.
3. y? + 4x – 8 = 0 and Y = 2x
4. an arch of y =(1/4)sin(x/4)
Transcribed Image Text:П. Find the area bounded by the curves y = x', x = 2, and y =0 using double integration. Find the volume generated by revolving the area enclosed by the curve x? + y = 16 about the y-axis. II Find the volume generated by revolving the area bounded by the lines x+ y = 6, x =0 and y = 0, about x-axis. IV. V. Find the area enclosed by the curve r= 2cos0 VI. Find the area bounded by the ff. curves and lines: 1. the bop of y? = x ² (4 - x) 2. 4y 3D x?- 2nх, у%3D 0, х %3D 1, х%3D 4. 3. y? + 4x – 8 = 0 and Y = 2x 4. an arch of y =(1/4)sin(x/4)
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