Tin Att Compute the volume of the solid whose base is the area bounded by the...
Compute the volume of the solid whose base is the area bounded by the z-axis and the curve y = 1- 24 between x = -1 and a 1 and whose vertical cross sections are rectangles with height 2. Enter your answer as a decimal to three places.
Compute the volume of the solid whose base is the unit circle x2 + y2 = 1 and whose vertical cross sections are squares. Enter your answer as a decimal to three places.
Find the perimeter of the parametric curve given by cos3 t sin3t for 0sts2T (10) Find the volume of the solid whose base is the region bounded by the parabolas y2 and y 8- and whose cross-sections perpendicular to the y-axis are semicircles. Find the perimeter of the parametric curve given by cos3 t sin3t for 0sts2T (10) Find the volume of the solid whose base is the region bounded by the parabolas y2 and y 8- and whose cross-sections...
Find the volume of the following solids. The base of a solid is the region bounded by the graphs of y = 6x, y = 12, and x=0. The cross-sections perpendicular to the x-axis are a. rectangles of height 8. b. rectangles of perimeter 60 a. V=(Type an exact answer, using radicals as needed.) b. V=(Type an exact answer, using radicals as needed.)
Find the volume of the following solids. The base of a solid is the region bounded by the graphs of y = 3x, y=6, and x = 0. The cross-sections perpendicular to the x-axis are a. rectangles of height 10. b. rectangles of perimeter 32. a. V=Type an exact answer, using radicals as needed) b. V= (Type an exact answer, using radicals as needed)
Find the volume of the following solids. The base of a solid is the region bounded by the graphs of y = 6x, y = 24, and x = 0. The cross-sections perpendicular to the x-axis are a. rectangles of height 8. b. rectangles of perimeter 100 a.V=(Type an exact answer, using radicals as needed.) b. V-(Type an exact answer, using radicals as needed)
(1 point) Find the volume of the solid whose base is the region in the first quadrant bounded by y=x?, y=1, and the y-axis and whose cross-sections perpendicular to the x axis are squares. Volume =
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...
11. Find the volume of the given right tetrahedron. (Hint: Consider slices perpendicular to one of the labeled edges.) 3. The solid lies between planes perpendicular to the x-axis at x= -1 and x = 1. The cross-sections perpendicular to the I-axis between these planes are squares whose bases run from the semicircle y = -VI-to the semicircle y = VI- 4. The solid lies between planes perpendicular to the x-axis at x= -1 and .x = 1. The cross-sections...
Compute the volume of the solid created by rotating the area bounded by the curve y= ex and the x-axis between 2 = O anda 1 around the y-axis. -