Disks Washers and Cross Sections Review let r b


Disks Washers and Cross Sections Review let r be the region in the first quadrant under the graph ofc Setup but do not evaluate the integral necessary to compute the volume of the solid whose base i
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Slide1Disks, Washers, and Cross Sections Review
Slide2let r be the region in the first quadrant under the graph ofc) Setup but do not evaluate the integral necessary to compute the volume of the solid whose base is the region R and whose cross sections cut by planes perpendicular to the x-axis are squares.
Slide3the base of a solid is the circle . Each section of thesolid cut by a plane perpendicular to the x-axis is a square with one edge in the base of the solid. Setup but doe not evaluate the integral to find the volume of the solid in terms of a.
Slide4let functions f and g be defined by f(x) = x and , wherek is a positive constant a) If R is the region between the graphs of f and g on the interval [1, 3], setup but do not evaluate an integral expression in terms of k for the volume of the solid generated when R is rotated about the x-axis. b) Setup up but do not evaluate an integral expression in terms of k for the volume of the solid generated when R is rotated about the horizontal line y = -2.
Slide5let r be the region marked in the first quadrant enclosed bythe y-axis and the graphs of as shown in the figure below R a) Setup but do not evaluate the integral representing the volume of the solid generated when R is revolved around the x-axis. b) Setup, but do not evaluate the integral representing the volume of the solid whose base is R and whose cross sections perpendicular to the x-axis are squares.
Slide6Setup, but do not evaluate , the integral necessary to find the volume of the solid formed when the region bounded by is revolved about the x-axis.
Slide7let r be the region in the first quadrant bounded above by thegraph of f(x) = 3 cos x and below by the graph of a) Setup, but do not evaluate , an integral expression in terms of a single variable for the volume of the solid generated when R is revolved about the x-axis. b) Let the base of a solid be the region R. If all cross sections perpendicular to the x-axis are equilateral triangles, setup, but do not evaluate , an integral expression of a single variable for the volume of the solid.
Slide8the volume of the solid generated by revolving the first quadrantregion bounded by the curve and the lines x = ln 3 and y = 1 about the x-axis is a) 2.80 b) 2.83 c) 2.86 d) 2.89 e) 2.92
Slide9the base of a solid is a right triangle whose perpendicular sideshave lengths 6 and 4. Each plane section of the solid perpendicular to the side of length 6 is a semicircle whose diameter lies in the plane of the triangle. The volume of the solid in cubic units is: a) 2pi b) 4pi c) 8pi d) 16pi e) 24pi