CALCULUS:GRAPHICAL...,AP ED.-W/ACCESS
5th Edition
ISBN: 9780133314564
Author: Finney
Publisher: SAVVAS L
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Find the volumes of the solids Find the volume of the solid generated by revolving the regionbounded by the x-axis, the curve y = 3x4, and the lines x = 1and x = -1 about the x-axis
Find the valume of the solid generated by revolving the region bounded by y= -2x2 and y= x2 - 3, in the 4th quadrant about the :
the line x =-1
the line y =4
Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 4 16 − x2 , y = 0, x = 2, x = 3; about the x-axis V = Sketch the region. WebAssign Plot WebAssign Plot WebAssign Plot WebAssign Plot Sketch the solid, and a typical disk or washer.
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- A frustum of a cone is the portion of the cone bounded between the circular base and a plane parallel to the base. With dimensions are indicated, show that the volume of the frustum of the cone is V=13R2H13rh2arrow_forwardA soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in inches. a. Using the fact that the volume of the can is 25 cubic inches, express h in terms of x. b. Express the total surface area S of the can in terms of x.arrow_forwardFor the right circular cylinder, suppose that r=5 in. and h=6 in. Find the exact and approximate a lateral area. b total area. c volume.arrow_forward
- A soda can is made from 40 square inches of aluminum. Let x denote the radius of the top of the can, and let h denote the height, both in inches. a. Express the total surface area S of the can, using x and h. Note: The total surface area is the area of the top plus the area of the bottom plus the area of the cylinder. b. Using the fact that the total area is 40 square inches, express h in terms of x. c. Express the volume V of the can in terms of x.arrow_forwardFor the sphers x-12+y+22+z-42=36 and x2+y2+z2=64, find the ratio of their a surface areas. b volumes.arrow_forwardFind the volume of the solid obtained by rotating the region enclosed by the curves y = 32 x2 y = 2 +1– x²| about - y = 25. (Use symbolic notation and fractions where needed.) Volume =| %3Darrow_forward
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