Cooling towers at nuclear power plants have a "pinched" chimney shape formed by rotating a hyperbola x2 around an axis. The function y = 401/1+ for – 240 < < 100, where x and y are in feet, 10000 describes the shape of such a tower (laying on its side). Determine the volume of the tower by rotating the region bounded by the graph of y about the x-axis.

Q: A container can be modeled by revolving the graph of       about the x-axis, where x and y are…

A: Given function  here R(x) = y(x)

Q: Find the largest area possible for a rectangle inscribed between the parabola y = 9 – x² and the x-…

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Q: z = 7+x+4y+x² , –2 < x < 1,–1< y < 1. | 1. A = 3V5 - ( 35 + 6/26 - In 4 %3D 17 17 35 + 6/26 2. A =…

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Q: A rectangular package to be sent by a postal service can have a maximum combined length and girth…

A: To find the maximum of Volume we use dV/dx=0

Q: Use inscribed and circumscribed rectangles to find the area of the region to the right of the line x…

A: Concept: the area between the region y=f(x) and ==g(x) on the interval [a, b] Let us assume that…

Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.