3rd option is correct
Which of the following integrals represents the volume of the solid generated by rotating t enclosed...
1. Let R be the region enclosed by the curves y =ra and r = y2 Nole that there is no med to evaluate any integrals in this problem unless you run out of other things to do). a) Find a dy integral for the volume of the solid obtained by rotating R about the r-axis. (Compare with your solution to part f of the last worksheet). b) Find a dx integral for the volume of the solid obtained by...
2. [5 points) Which of the following integrals represent the volume of the solid obtained by rotating the area enclosed by y = 1, y = 0, x = 1, x = 3 around the line y = -1. (A) = " (-1) de (D) * L6 + + 1) dy (0) * L%C5 +3) ay (Dia °C +) do
1. Find the volume of the solid generated by rotating the region bounded by yı = 2.c and y2 = Vt around the x-axis. 2. Find the volume of the solid generated by rotating the region bounded by y = r? and y2 = x around the y-axis.
Question #11 of 15 11. Calculate the volume of the solid generated by rotating the region enclosed by y 1- (x-2) and y 0 about the line x 1. Round your answer to the nearest hundredth. Answer- Continue Reset answer Question #11 of 15 11. Calculate the volume of the solid generated by rotating the region enclosed by y 1- (x-2) and y 0 about the line x 1. Round your answer to the nearest hundredth. Answer- Continue Reset answer
For each problem, find the volume of the solid that results when the region enclosed by the curves is revolved about the given axis. For each problem, find the volume of the solid that results when the region enclosed by the curves is revolved about the the given axis. 13) y= Vx+2, y=2, x=1 Axis: y = 2 26) *= y2 - 1, x= Vy-1 Axis: x = 2 For each problem, find the volume of the specified solid. 2)...
Question 7 Using the method of disks/washers, which expression represents the volume of the solid obtained by rotating the region bounded by a = y, y = 1 and x = 0 about the z-axis? son (1 - ſ9) dy • Sor(1 – 2²) ² da None of the other choices S. (1 - y) dy S (1 – 24) de
Problem 2 (1) Find the area enclosed by the curves y 2 and y-4z-z2 (2) Find the volume of the solid whose base is the triangular region with vertices(0, 0), (2, 0), and (0,1). Cross-sections perpendicular to the y-axis semicircles. are (3) Find the volume of the solid by rotating the region bounded by y=1-z2 and y-0 about the r-axis. 2-z2. Find the volume (4) Let R be the region bounded by y--x2 and y of the solid obtained by...
, The integral represents the volume of a solid. Describe the solid. 76yy The solid is obtained by rotating the region bounded by (i) x- 'x=0,and y = 0 or (ii) x = x- 6, and y 0 about the line using cylindrical shells Watch It Talik to a Tutor Need Help? Read It Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by the given curves about the x-axis...
please answer 1&2 Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 5x", y = 5x, x2 0; about the x-axis V = Sketch the region. y у 5- 6 4 3 3 N -0. 0.5 1.0 X 1.5 -0.5 0.5 1.0 1.5 Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y2 =...