Question

help. i dont know hwo to do this

c) Sketch the graph and set up the integral to find the volume of the solid obtained by rotating Pabout the line y- 1. Vertical or Horizontal slicing? Disk or a Washer? V.[[4ωά α V-[Λωω or Area of a slice A- Volume V d) Sketch the graph and set up the integral to find the volume of the solid obtained by rotating about the y - axis. Vertical or Horizontal slicing? Disk or a Washer? ΓΔω or P V= Area of a slice A Volume V = e) Sketch the graph and set up the integral to find the volume of the solid obtained by rotating Rabout the line x-3. Vertical or Horizontal slicing? Disk or a Washer? -[40) dy ? or P Area of a slice A- Volume V = f) Sketch the graph and set up the integral to find the volume of the solid obtained by rotating Rabout the line x 4 Vertical or Horizontal slicing? Disk or a Washer? V-[ω or Area of a slice A = Volume V II Volume of Solids-Slicing Method: To find the volume V of a solid: Rotation about the x-axis or any horizontal line: Vertical slicing, find the area A of the slice as a function of x, and integrate with respect to x: V -SA) dx any vertical line: Horizontal slicing, find the area A of the slice as a Rotation about the y-axis or function of y, and integrate with respect to y: V = A(y) dy 3) Consider the region R bounded by y 9-x2,y = 0, and x 0 (in the first quadrant). (In this problem, just set up the integrals. You don't need to evaluate them)

Answer 1

q-0 disk mithad using レニ A(n) dn dce A m 7T Ca-2) 2 drt (D 3 9-2)dx TT entoral Foddtes Ca-ra-( intornatoactiy Aria of a slice - TT dre 1 dr Ve 20x2 71 3 3 Q97 +2 Y3 12 A 180 243 77 1/7 TT 8 28 TT WINN

abaut oy) Arua of a lice TT 2 77 Velune Jo dy