Function - Multivariable - Solved Quiz, Exercises of Calculus

Main points of this past exam are: Function, Critical Point, Hessian Matrix, Local Extrema, Type, Integral, Simplify

Typology: Exercises

2012/2013

Uploaded on 03/21/2013

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Name: K a Math 206: Fall 2011 Quiz 5: November 30 Correct answers accompanied by incorrect or incomplete work will not receive full credit. 1. A function f : R° — & has one critical point @ with Hessian matrix Sot 0 Hf@=|1 -1 1 ees Sree Does f have a local extrema at @? Ifso, what type? dat CH= dot(-2) = -2 <© dot (H)= 1 a +6 \ ck dot {AE '@)= re Se OG 9 se Ves o lose \oweu = a 2. Set up the integral that you would use to calculate the length of the path fa = (e! cost, e* sint, e’), 0<¢<3. You do not need to simplify the integrand.