# Quiz8 - ESP Quiz 8(Kouba Please PRINT your name here This...

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Unformatted text preview: ESP Quiz 8 (Kouba) Please PRINT your name here : ___________________________________________________________ This quiz is due next Tuesday at the beginning of ESP. 1.) (10 pts. each) Consider the region R bounded by the graphs of y = ﬂ, :1: : 0, and y = 2. SET UP, but do not evaluate, integrals for each of the following : a.) the volume of the solid formed by rotating R about the x—axis using the Disc Method. b.) the volume of the solid formed by rotating R about the x—axis using the Shell Method. 0.) the volume of the solid formed by rotating R about the line a: = —3 using the Shell Method. 1 d.) the volume of the solid formed by rotating R about the line m = —3 using the Disc Method. 2.) (20 pts.) A spherical tank of radius 5 feet is ﬁlled with water to a depth of 8 feet. Compute the volume of water in the tank. ...
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