B. Draw the graph, identify the region, and sketch the representative rectangle. Label the graph properly as to where the equation was derived. 1. Find the volume of the solid obtained by revolving about the x - axis the region between f(x) = x² and g(x) = 1 for x = -2 and x = 2. (Take the volume for every interval. The total volume is the sum of the volumes for the three intervals)

B. Draw the graph, identify the region, and sketch the representative rectangle. Label the graph properly as to where the equation was derived. 1. Find the volume of the solid obtained by revolving about the x - axis the region between f(x) = x² and g(x) = 1 for x = -2 and x = 2. (Take the volume for every interval. The total volume is the sum of the volumes for the three intervals)

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...

See similar textbooks

Similar questions

Suppose that r=12 cm and h=15 cm in the right circular cylinder. Find the exact and approximate a lateral area. b total area. c volume.
For the sphers x-12+y+22+z-42=36 and x2+y2+z2=64, find the ratio of their a surface areas. b volumes.
A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in inches. a. Using the fact that the volume of the can is 25 cubic inches, express h in terms of x. b. Express the total surface area S of the can in terms of x.
Find the exact volume of the solid that results when the rectangular region with vertices at 0, 0, 6, 0, 6, 4 and 0, 4 is revolved about the a x-axis b y-axis
. Sketch the graphs of v = 2x - x² and y = - x. Shade the region bounded by the curves, Find the volume of the solid that is formed by revolving the region shaded about the y-axis.
1. Graph and shade the region enclosed by the curves x=(y-2) and y= x . Find the volume of the solid obtained by rotating the shaded region about the line y =-1 explaining the geometry. %3x
2. Graph and shade the region enclosed by the curves y= (x – 3) and y = x . Find the volume of the solid obtained by rotating the shaded region about the line x = -1.
Find the volume of the solid of revolution generated by revolving the region in the first quadrant bounded by the x-axis and the graph of y = 2x − x2 about the following. a. the x-axis b. the y-axis c. the line x = 3 d. the line y = 1
Find the total areas of the regions
3. Find the volume of solid of revolution (in cubic units) when the area of the region bounded by y =x² - 2x – 2 and y=x+2 is revolved about the line y =-3. yx+2 6+ 5+ y-2-2x-2 4+ 2. ++ -5-4 -3. -1 2. 3. - > y = -3 A) 540.98 cu. units B) 509.12 cu. units C) 555.55 cu. units D) 523.60 cu. units