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: Find the volume by revolving the region of the curve xy = 6 from x = 2 to x = 4 about the x-axis. *…

A: volume of the required region is sum of area of disc from x=2 to x=4dA=π6x2 is the area of the disc…

Q: 1. Sketch the graphs of v = 2x - x2 and y = - x. Shade the region bounded by the curves, Find the…

A: Given, The sketch graph of; Y = 2x - x² Y = - x The volume of the solid that is formed by revolving…

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: f(x) = 19 – x², x 20 f(x) = x - 3, x 2 0

A: We will find the volume as following.

Q: Find the Laplace transform of: 1. f(t) = e(3t-7) cos (6t)

A:

Q: Find the area of the region bounded by y = eª, y = 12 — eª, and the y-axis.

A: