Let S be the surface defined by the vector function R(u, v) = (u cos v, u – v, u sin v) with u eR and v E [0, 27]. a. Find the equation of the tangent plane to S where (u, v) = (2, ). b. Determine the area of the portion of S where 0

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Chapter2: Second-order Linear Odes
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Let S be the surface defined by the vector function R(u, v) = (u cos v, u – v, u sin v) with
u E R and v E [0, 27].
-
a. Find the equation of the tangent plane to S where (u, v) = (2, 7).
b. Determine the area of the portion of S where 0 < u<1 and 0 < v< 4u.
Transcribed Image Text:Let S be the surface defined by the vector function R(u, v) = (u cos v, u – v, u sin v) with u E R and v E [0, 27]. - a. Find the equation of the tangent plane to S where (u, v) = (2, 7). b. Determine the area of the portion of S where 0 < u<1 and 0 < v< 4u.
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