2. Consider the region bounded by y= ln(x-1 -1), y=2-x and x = 4 (see the figure on the right). a. Setup the integral that gives the are of the region using i. vertical strips; and horizontal strips. ii. b. Using indicated strips, setup the integral that gives the volume of the solid formed when the region is revolved about the given AOR. i. horizontal strips; AOR: x = 5 ii. vertical strips; AOR: y = -3 -2 2

Q: Refer to the figure and find the volume V generated by rotating the given region about the specified…

A: Given: To find the volume V generated by rotating the given region about the line AB

Q: Using a vertical element, determine the volume of the solid generated by the area bounded by y=1/x,…

A: The curves given is as follows: y=1x, x=1, and the coordinate axes. This curve is rotated about…

Q: A volume is described as follows: 1. the base is the region bounded by y - 2. every cross section…

A: Given: Base of the region bounded by the curves y=e3.2x y=3.2x2+0.1 x=1 Note that, each cross…

Q: 6. Let R be the reglon bounded by the graphs of the equations v = Inx, y = 0, y=1 and x = 0. Find…

A: Answer

Q: 3. Let region R represent the region between y = Vx, x = 9, and the x-axis, as %3D shown below. 5 0.…

A: a. Obtain the area of the region R as follows. A=∫09x-0dx=∫09xdx=x322309=32932=32×27=812

Q: A region in the first quadrant, bounded by y = x² +1 and y= 9– x² part A Compute the area. Compute…

A: Solution :-

Q: V3 ッラ×ラo regron 9= x.Sm(x³)

A:

Q: Compute the volume of the solid formed by revolving the region bounded by y = and y = 2 - 25 25…

A:

Q: Let R be the region in the first quadrant enclosed by y = sin z, the z-axis, and a = 1. Let S be the…

A:

Q: Find the volume V of the solid obtained by rotating the region enclosed by the curves x = 5y2 and x…

A: first we need to identify the region which is enclosed. Then setting up the integral with right…

Q: R be the region bounded by the graph of y = 5√√x + 3, the x-axis, the y-axis, and the line x = 4.…

A: According to guidelines we solve only first question.

Q: Set up the volume when the region is revolved about the . x-axis (use vertical strips) - y-axis (use…

A: Assume that, we have given a region represented by y=fx or x=g-1y The volume when the region is…