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Find the Rectangular Equation for the Surface by Eliminating the Parameters

Question 107

Multiple Choice

Find the rectangular equation for the surface by eliminating the parameters from the vector-valued function r(u,v) =2cosvcosui+2cosvsinuj+3sinvk\mathbf { r } ( u , v ) = 2 \cos v \cos u \mathbf { i } + 2 \cos v \sin u \mathbf { j } + 3 \sin v \mathbf { k } and sketch the graph.


A)
 Find the rectangular equation for the surface by eliminating the parameters from the vector-valued function  \mathbf { r } ( u , v )  = 2 \cos v \cos u \mathbf { i } + 2 \cos v \sin u \mathbf { j } + 3 \sin v \mathbf { k }  and sketch the graph. A)    B)     C)    D)    E)
B)
 Find the rectangular equation for the surface by eliminating the parameters from the vector-valued function  \mathbf { r } ( u , v )  = 2 \cos v \cos u \mathbf { i } + 2 \cos v \sin u \mathbf { j } + 3 \sin v \mathbf { k }  and sketch the graph. A)    B)     C)    D)    E)

C)
 Find the rectangular equation for the surface by eliminating the parameters from the vector-valued function  \mathbf { r } ( u , v )  = 2 \cos v \cos u \mathbf { i } + 2 \cos v \sin u \mathbf { j } + 3 \sin v \mathbf { k }  and sketch the graph. A)    B)     C)    D)    E)
D)
 Find the rectangular equation for the surface by eliminating the parameters from the vector-valued function  \mathbf { r } ( u , v )  = 2 \cos v \cos u \mathbf { i } + 2 \cos v \sin u \mathbf { j } + 3 \sin v \mathbf { k }  and sketch the graph. A)    B)     C)    D)    E)
E)
 Find the rectangular equation for the surface by eliminating the parameters from the vector-valued function  \mathbf { r } ( u , v )  = 2 \cos v \cos u \mathbf { i } + 2 \cos v \sin u \mathbf { j } + 3 \sin v \mathbf { k }  and sketch the graph. A)    B)     C)    D)    E)

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