PLEASE INCLUDE: how inside the square root of y’+1 is opened. i will add the image for that below as well. (all my issu...
Find the surface area of the solid of revolution obtained by rotating the curve x=(1/12)(y^2+8)^(3/2) from ?=2 to ?=5 about the x-axis: (1 point) Find the surface area of the solid of revolution obtained by rotating the curve X= +8)3/2 from y = 2 to y = 5 about the x-axis:
/Users/emm AM.png (1 point) Find the surface area of the solid of revolution obtained by rotating the curve x= 156 + 10332 from y = 2 to y = 5 about the x-axis:
problem 3 pls Problem 3. Consider the curve {> 1, y = 1/x}. Compute the length of the part of this curve lying to the left of the line x = a for any a > 1. Show that the length of the whole curve is thus infinite. Compute the area of the surface obtained by rotating this curve about about the x axis by computing the corresponding improper integral; it should be infinite. What is the area of the...
(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...
(1 point) Find the area of the surface obtained by rotating the curve 4x = y2 + 8 about x-axis from x = 2 to x = 4. Area:
(1 point) Find the area of the surface obtained by rotating the curve y = yæ about y-axis for 1 < y < 2. Area:
please don't write in Cursive as i cant read it. And please write it in a clear handwritting. NO CURSIVE please 5. Find the exact area of the surface obtained by rotating the curve y = x",0 < x < 2, about the X-axis. (10 points)
Please help with 1-10 and please show all work thanks. Show all of your work neatly, and express solutions as exact answers unless otherwise requested. No credit will be given to solutions that have no work shown! BOX or CIRCLE your final answer. 1. Sketch a graph and shade the area of the region bounded by the following equations. Set up an integral that would give this area. 2x + y2 = 6 and y=x+1 2. Sketch a graph and...
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+...
1 1 a) Compute the length of the curve y = Inx, for 1 < x < 2. b) Compute the area of the surface obtained when rotating the curve in question a) about the y-axis, for 1 < x < 2.