2) just solve C

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 34E
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Q2) just solve C

Consider base level of (0 < b << a)(Vx² + z² – a)" + y² = b² and map g(x, y, z) = z on this base
level.
A) Using Lagrange coefficients to obtain candidate points for maximum and minimum.
B) Consider the parameterization h(0, 4) = (a + b cos 0) cos o, b sin 0, (a + b cos 0) sin o) for
the surface level. Find the critical points of the goh mapping and specify its type.
C) C) Investigate why the image of the critical points in Part B by mapping h is the same as the set
of points obtained in Part A .
Transcribed Image Text:Consider base level of (0 < b << a)(Vx² + z² – a)" + y² = b² and map g(x, y, z) = z on this base level. A) Using Lagrange coefficients to obtain candidate points for maximum and minimum. B) Consider the parameterization h(0, 4) = (a + b cos 0) cos o, b sin 0, (a + b cos 0) sin o) for the surface level. Find the critical points of the goh mapping and specify its type. C) C) Investigate why the image of the critical points in Part B by mapping h is the same as the set of points obtained in Part A .
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