CALCULUS:GRAPHICAL,NUMERICAL,..-PACKAGE
5th Edition
ISBN: 9780133320381
Author: Finney
Publisher: SAVVAS L
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Find 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 =|
%3D
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
Sketch the region R bounded by y = x2 + 3, x-axis, x = 1 and x = 2.Find,(i) the area of the region R.(ii) the volume of the solid obtained by rotating the region R about theline y = 7.
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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_forwardUse the Shell Method to compute the volume of a solid revolution generated by rotating the region bounded by the graph of the function y = 2x², y = 3x - x², about the line x = 2. (Express numbers in exact form. Use symbolic notation and fractions where needed.) V =arrow_forward
- Determine the volume of the solid formed by rotation about the y-axis of the region bounded by the curve y = 9 In x, the x-axis, the y-axis and the line y=9 In22. 30 25 20 15 10 5. -25 -20 -15 -10 -5 10 15 20 25 Volume of the solid is 3 unitsarrow_forwardFind 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.arrow_forward3. Region R is a first quadrant region bounded by f(x) = x², the y axis and the line y = 4. The volume of the solid formed when region R is rotated about the y axis is 16T (B) 3 32л (D) 3 64n (E) 3 (А) 4л (C) 87arrow_forward
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