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2. [5 points) Which of the following integrals represent the volume of the solid obtained by...
Which of the following integrals represents the volume of the solid generated by rotating t enclosed by the curves y2 = x and y = { x about the x-axis? O 0 [ +(3^ – 4yº) dy $*r(4y? – y") dy L'=(-- ***) dva 1+(2-2) de Srdy o
1. Let R be the region enclosed by the curves y =ra and r = y2 Nole that there is no med to evaluate any integrals in this problem unless you run out of other things to do). a) Find a dy integral for the volume of the solid obtained by rotating R about the r-axis. (Compare with your solution to part f of the last worksheet). b) Find a dx integral for the volume of the solid obtained by...
(6 points) Find the volume of the solid obtained by rotating the region bounded by y = x4, y = 1; about the line y = 3 Answer: (6 points) Find the volume of the solid obtained by rotating the region bounded by the given curves about the line x = -6 y= x², x = y? Answer:
1 2 5 points) Find the volume of the solid obtained by rotating the region bounded by me given curves about the specified line. y=23/2, y=0, r = 1; about the line x = 2 y=x*, x = 0, y = 8; about the x-axis
Question 7 Using the method of disks/washers, which expression represents the volume of the solid obtained by rotating the region bounded by a = y, y = 1 and x = 0 about the z-axis? son (1 - ſ9) dy • Sor(1 – 2²) ² da None of the other choices S. (1 - y) dy S (1 – 24) de
30 points) (a) (12 points) Set up an integral representing the volume of the solid obtained by rotating about the x-axis the region bounded by y = x3 + 1, x = 0, x = 2, and y= 1. You do not need to evaluate the integral. (b) (18 points) Find the volume of the solid obtained by rotating about the y-axis the region bounded by y = 2x – x2 and y= 0.
(5 points) Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. y=r?, y = 2x - x?; about the z-axis
, The integral represents the volume of a solid. Describe the solid. 76yy The solid is obtained by rotating the region bounded by (i) x- 'x=0,and y = 0 or (ii) x = x- 6, and y 0 about the line using cylindrical shells Watch It Talik to a Tutor Need Help? Read It Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by the given curves about the x-axis...
all answer Sample Test 4 1575 Calculus II 1. The region bounded by the parabola y-4x-x and the x -axis is revolved about thex- axis. Find the volume of the solid. Write answer in term of π. Find the area enclosed by the curves: 2. y=2x2-4x-12 y=x2-6x+12 and 3. Find the volume of the solid obtained by rotating the region bounded by the graphs of a. y-x-9, y 0 about the x-axis. -1 about the x-axis. b. y 16-r, y-3x+...