f(x)= Let /be the function defined by graph of fand the horizontal line Y=1, as shown in the image below. Region R -3 -2 (a) Find the area of R 7 5+3x². Let R be the shaded region bounded by the 2 0 R 2 3 b) The region Ris rotated around the x-axis. Find the volume of the resulting solid. c) Let (x) be the vertical distance between the point (x, f(x)) and the horizontal line Y= 1,. Find the rat of change of r(x) with respect to xatx=-1

Q: Find the volume of the solid generated by rotating the region bounded by f(x) = 2-x², g(x)=√1-x², x…

A: We know The volume of the solid formed by revolving the region between curve fx and curve gx around…

Q: 1. Find the intersections between the curve y=√√3-x and line y+1-x=0 (a) Sketch the region R bounded…

A:

Q: R is the region bounded by the functions f(x) +2 and the g(x) 1 r and the lines x-0 and x-4.…

A: Given fx=x+2 and gx=1-xand the lines x=0, x=4

Q: Find the volume of the solid obtained by rotating the region enclosed by the graphs of f(x)=8-1-8),…

A:

Q: Find the volume of a solid obtained by rotating the region underneath the graph of f(x) = 32 2x…

A:

Q: Use the Shell Method to compute the volume of a solid revolution generated by rotating the region…

A:

Q: 3. Region R is a first quadrant region bounded by f(x) = x?, the y axis and the line y = 4. The…

A: Use volume formula

Q: Find the area of the region (draw graph) bounded by the graphs of y=x3+x, x=4, y=0

A: Find the region bounded by the curves.Shaded region R is the area to be calculated.

Q: Find the area bounded between curves: (show the figure with the rectangular strip used)   x = y^2…

A: The given curves are: x=y2-2y, x=4y-y2