a region is enclosed by the equation below. Find the volume of the solid obtained by rotating the region about x axis Y equal to 7 x square X equal to 1 Y equal to 0
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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+...
Problem 2 (1) Find the area enclosed by the curves y 2 and y-4z-z2 (2) Find the volume of the solid whose base is the triangular region with vertices(0, 0), (2, 0), and (0,1). Cross-sections perpendicular to the y-axis semicircles. are (3) Find the volume of the solid by rotating the region bounded by y=1-z2 and y-0 about the r-axis. 2-z2. Find the volume (4) Let R be the region bounded by y--x2 and y of the solid obtained by...
6. (1 point) Find the volume of the solid formed by rotating the region 1- enclosed by y- e +2, y-0, x-0, x 0.1 about the x-axis. Answer: 6. (1 point) Find the volume of the solid formed by rotating the region 1- enclosed by y- e +2, y-0, x-0, x 0.1 about the x-axis. Answer:
Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by the curves y=x^2, y=0, x=−2 and x=−1 about the y-axis.Volume = _______ Find the volume of the solid obtained by rotating the region bounded by the given curve about the specified axis.x^2+(y−7)^2=25about the x-axis. Volume = _______
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...
5. Find the volume of the solid obtained by rotating the region bounded by the curves, y = 2x, x = 0 and y = 10 about the x axis, 5. Find the volume of the solid obtained by rotating the region bounded by the curves, y = 2x, x = 0 and y = 10 about the x axis,
please add graph if any (b @ Find the area of the region enclosed by y=x andy= 5x3². up the Intergral representing the volume of the solid obtained by rotating about the masis the region bounded by y=2+1 and y=3-x² about the x-axis set
(1 point) Find the length of the curve defined by y=18(8x2−1ln(x))y=18(8x2−1ln(x)) from x=4x=4 to x=8 (1 point) Find the area of the region enclosed by the curves: 2y=4x−−√,y=4,2y=4x,y=4, and 2y+1x=52y+1x=5 HINT: Sketch the region! (1 point) Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y=2+1/x4,y=2,x=4,x=9;y=2+1/x4,y=2,x=4,x=9; about the x-axis. (1 point) Find the length of the curve defined by y = $(8x? – 1 In(x)) from x = 4...
Find the volume of the solid formed by rotating the region enclosed by y=e^4x+1, y=0, x=0, x=0.3 about the x-axis.
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.