samantha Oh Math 142 LR X section LR X Spring 2019 Instructor Kathlene Hockaday Due Sunday March 17 2019 11 59 PM EDTLast Saved n a Saving WebAssign 8 2 Homework Current Score 10 1 4 pointsSCalcET8 8 2 005 Consider the following x y y3 0 y 1 a Set up an integral for the area of the surface obtained by rotating the curve about the x axis and the y axis i the x axis 1 S dy 0 ii the y axis 1 S dy 0 b Use the numerical integration capability of a calculator to evaluate the surface areas correct to four decimal places i the x axis ii the y axis 2 1 pointsSCalcET8 8 2 008 Find the exact area of the surface obtained by rotating the curve about the x axis y 7 x 1 x 7 3 1 pointsSCalcET8 8 2 013 Find the exact area of the surface obtained by rotating the curve about the x axis x 1 2 y 2 3 2 3 2 y 5 4 1 pointsSCalcET8 8 2 015 The given curve is rotated about the y axis Find the area of the resulting surface y 1 3 2 x 3 0 x 12 5 1 pointsSCalcET8 8 2 017 The given curve is rotated about the y axis Find the area of the resulting surface x a2 y2 0 y a 3 6 1 pointsSCalcET8 8 2 027 If the region x y x 1 0 y 1 x is rotated about the x axis the volume of the resulting solid is finite Determine the surface area The surface is shown in the figure and is known as Gabriel s horn 7 1 pointsSCalcET8 8 2 035 Find the area of the surface obtained by rotating the circle x2 y2 r 2 about the line y r
View Full Document
Unlocking...