r-a- asin 0, y= a- acose (0s 0s 2m , a> 0 ) represent one arc of a cycloid. Find 18. The equation the surface ar...
Find the area of the surface generated by revolving the equation r-2+2cos(0) about the polar axis. Find the length of the curve r 6; from 8-0 to θ Find the area of the surface generated by revolving the equation r-2+2cos(0) about the polar axis. Find the length of the curve r 6; from 8-0 to θ
14 1. (10 marks) Let C be the curve 27x - y = 0 between y=0 and y=4. Sketch the graph of this curve. In each part, set up, but do not ovaluate, an integral or a sum of integrals that solves the problem. (a) Find the area of the surface generated by revolving C about the x-axis by integrating with respect to x (6) Find the area of the surface generated by revolving C about the y-axis by integrating...
number 9 9) Let C be the arc of the circle: x +y-9 from (3.0) to a) Find a parametric equation of a circle of radius r 3 that starts at (3,0) and has a counterclockwise orientation b) Find the interval fort that sketches the arc from (3,0) to G. c) Use your limits from part(b) to calculate the area of the surface of revolution by revolving the curve C about the x-axis. 9) Let C be the arc of...