3.0-14 points SCalcET8 82.005 Consider the following. (a) Set up an integral for the area of the ...
1. Set up, but do not evaluate, an integral to find the area enclosed by the x-axis and the [x = 1 + et curve ly = t-t2 2. {*5+?2t Osts2 y = VE (1) Find the equation of the tangent line at the point where t = (2) Set up, but do NOT evaluate, an integral to find the area of the surface obtained by rotating the curve about the y-axis. 3. Set up but do NOT evaluate an...
8. SCalcET8 6 3.508 XP The integral represents the volume of a solid. Describe the solid. dy 9 + y The solid is obtained by rotating the region 0 s xs about the -Select- ) using cylindrical shells. Need Help?iTalk toa Tuter 8. SCalcET8 6 3.508 XP The integral represents the volume of a solid. Describe the solid. dy 9 + y The solid is obtained by rotating the region 0 s xs about the -Select- ) using cylindrical shells....
Assignment 4: (Arc Length and Surface Area - 7.3) 1. Consider the plane curve C defined by y=e" between y-1 and y-e. (a.) Set up, but do NOT evaluate, an integral with respect to y for the arc length of C. (b.) Set up, but do NOT evaluate, an integral with respect to x for the arc length of C. Set up, but do NOT evaluate, an integral for the area of the surface obtained by rotating C about the...
Consider the following. x = 3 sin y , 0 ≤ y ≤ π, x = 0; about y = 4 (a) Set up an integral for the volume V of the solid obtained by rotating the region bounded by the given curve about the specified axis. V = π 0 dy (b) Use your calculator to evaluate the integral correct to four decimal places. V = Please explain each step
a. Set up an integral for the area of the surface generated by revolving the curve x = 3 sin y, 0 sys about the y-axis. b. Graph the curve. c. Use technology to find the surface area numerically. a. Set up an integral for the area of the surface generated by revolving the curve x = 3 sin y, 0 sys about the y-axis. b. Graph the curve. c. Use technology to find the surface area numerically.
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...
for b. y= sin(x^2-3x+1) og t par Set up, but do not evaluate, the integral required to compute the arc length of the curve cotr. y= 217from 0<x< /2. mense metied to compute Set up, but do not evaluate, the integral required to compute the surface area of the solid obtained by rotating the curve y=sin(x2 3x + 1), 0<x< 1 about the z-axis.
Set up an integral for the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Then use your calculator to evaluate the integral correct to five decimal places. y= e- y0, x= -5, x-5 (a) About the x-axis (b) About y-1 Set up an integral for the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Then use your calculator to evaluate...
Set up and evaluate the definite integral for the area of the surface generated by revolving the curve about the y-axis. (Round your answer to three decimal places.) y = 1 − (x^2)/36 , 0 ≤ x ≤ 6
30 points) (a) (12 points) Set up an integral representing the volume of the solid obtained by rotating about the x-axis the region bounded by y = x3 + 1, x = 0, x = 2, and y= 1. You do not need to evaluate the integral. (b) (18 points) Find the volume of the solid obtained by rotating about the y-axis the region bounded by y = 2x – x2 and y= 0.