Consider the region bounded by the lines y = e, y = -1, x = 0, and x = 1. (a) Sketch a graph of the region. (b) The base of a three dimensional solid is the region from part (a). The cross sections per- pendicular to the x-axis are squares. Find a formula for A(x), the area of one of these cross sections. (c) Find the volume of the solid using the formula V = A(z) da. Show all of your work, including any antiderivatives you use when computing this definite integral.

Q: Find the volume V of the region appearing between the two sur

A: Given, the two surface                  z=x2+y2  and z=200-x2-y2

Q: 3) Find the volume of the of the solid that results when the region endosed by the curves y = Vx, y…

A:

Q: 2. Consider the region bounded by the lines y = e" , y = –1, x = 0, and x = 1. (a) Sketch a graph of…

A: The region is bounded by the lines y=ex, y=-1, x=0 & x=1

Q: (a) Between 1 and the disk x²+ (1+x² +y*) (b) Between % = 1 and the entire xy-plane. (1+x* + y?)*

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 volume of the solid generated by revolving the region bounded by the parabola y² 4x and the…

A: Recall formula for volume of revolution