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II. Find the area bounded by the curves y=x³, x = 2, and y= 0 using double integration. III. Find the volume generated by revolving the area enclosed by the curve x2 + y² = 16 about the y-axis. IV. Find the volume generated by revolving the area bounded by the lines x+y= 6, x =0 and y = 0, about x-axis. V. Find the area enclosed by the curve r = 2cos0 VI. Find the area bounded by the ff. curves and ines: 1. the lbop of y? = x ? (4 - x) 2. 4y %3D x?- 2hx, у3 0,х%3D1,х %3D4. 3. y? + 4x – 8 = 0 and Y = 2x 4. an arch of y =(1/4)sin(x/4)

II. Find the area bounded by the curves y=x³, x = 2, and y= 0 using double integration. III. Find the volume generated by revolving the area enclosed by the curve x2 + y² = 16 about the y-axis. IV. Find the volume generated by revolving the area bounded by the lines x+y= 6, x =0 and y = 0, about x-axis. V. Find the area enclosed by the curve r = 2cos0 VI. Find the area bounded by the ff. curves and ines: 1. the lbop of y? = x ? (4 - x) 2. 4y %3D x?- 2hx, у3 0,х%3D1,х %3D4. 3. y? + 4x – 8 = 0 and Y = 2x 4. an arch of y =(1/4)sin(x/4)

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
ChapterA: Appendix
SectionA.2: Geometric Constructions
Problem 10P: A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in...
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please answer IV 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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