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Critical Points - Multivariable - Solved Exam, Exams of Mathematics

This is the Solved Exam of Multivariable which includes Parametrized, Figure, Parallelogram, Drawing, Open Sets, Definition, Lines Intersect, Parameterized etc. Key important points are: Critical Points, Function, Local Max, Saddle Points, Second Derivative, Accompanying, Heavy Lines, Equation, Excellent Sketch, Line

Typology: Exams

2012/2013

Uploaded on 03/07/2013

parnavi
parnavi 🇮🇳

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Math 206A Exam 02 page 1 11/12/2010 Name Sosgested solbfion 1. Consider the function f(2,y) = 2x3 — y? + 3x? — 36a + 3y. la) Find Vf. fi mn (6x74 6x -36, 343) 1b) Find all the critical points of f. Gx'#6x -36=09 xt &-6 = 09 Key ao Fo not fo solve fhe System J Ox ~ DS X= Boxer a J aso By eto > Jr eytl ~|& Complle a (33, 1) 3) e@Dev 1c) Classify each of the critical points in problem (1b) as local max/mins/saddle points according to the second derivative test. If the test fails, explain why. ORGANIZE your answers neatly. fee lxeG fy = ~8y A= O opal ier sned GE 6 -[69