Familiarize yourself with parametric representations of importantsurfaces by deriving (a) a representation of z = f(x, y), by finding (b)the parameter curves (curves u = constant and v = constant) of thesurface, and (c) a normal vector N=r, x r, of the surface for Ellipticcylinder r(u, v) = [a cos v, b sin v, u] (thus (a cos v)i+ (b sin v)j + uk).|(a) The representation of z = f(x, y) is1.(b) The parameter curves areChoose one|(c) A normal vector N= ru × ry of the surfacer(u, v) = [a coS v, b sin v, u] isi+j+k.

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Familiarize yourself with parametric representations of important surfaces by deriving (a) a representation of z = f(x, y), by finding (b) the parameter curves (curves u = constant and v = surface, and (c) a normal vector N=r, × ry of the surface for Elliptic 6. constant) of the cylinder r(u, v) = [a cos v, b sin v, u] (thus (a cos v)i + (bsin v)j + uk). (a) The representation of z = f(x, y) is 1. (b) The parameter curves are Choose one (c) A normal vector N= ru × r, of the surface r(u, v) = [a cos v, b sin v, u] is i+ j+ k.

Familiarize yourself with parametric representations of important surfaces by deriving (a) a representation of z = f(x, y), by finding (b) the parameter curves (curves u = constant and v = surface, and (c) a normal vector N=r, × ry of the surface for Elliptic 6. constant) of the cylinder r(u, v) = [a cos v, b sin v, u] (thus (a cos v)i + (bsin v)j + uk). (a) The representation of z = f(x, y) is 1. (b) The parameter curves are Choose one (c) A normal vector N= ru × r, of the surface r(u, v) = [a cos v, b sin v, u] is i+ j+ k.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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