Consider the region bounded by y = ln(x-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 ii. horizontal strips. 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 Setup the integrals that give the centroid of the region in item #2 using x as the variable of integration.

Q: For the area shown, use integration to determine the x and y positions of the centroid. y 12 mm…

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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…

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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…

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Q: Set up the integral that will give the volume of the solid generated when the region bounded by the…

A: The integral can be modelled by calculating the intersection points of the curves. The intersection…