MATH237 Study Guide - Midterm Guide: Smoothness, Grude, Heat Equation
20 Jun 2016
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Submit your work by the instructor-speci ed time on friday, october 2nd in the correct drop slot across from mc 4066/4067. Late assignments or those put into the wrong drop slot will not be marked and will receive a grade of zero. Reminders: be sure to acknowledge any help you get with an acknowledgements section, we recommend that you rst do all of the in-chapter exercises in the text (most answers are in the back of the text) 0: let f (x, y) =( x2, let f (x, y) =( sin(xy) ln(x2+y2+1) , 0 if (x, y) 6= (0, 0) if (x, y) = (0, 0). Justify your answer: find fx(0, 0) and fy(0, 0) for f (x, y) =( x3 x2+y2 + 1. Y3 if (x, y) 6= (0, 0) if (x, y) = (0, 0): the following problem relates to frost penetration in the ground.
