MATH 226 Study Guide - Final Guide: Tangent Space, Divergence Theorem, Lagrange Multiplier
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Crombecque (10am 11am 1pm) malikov mikulevicius rose (9am 12pm) Instructions: you must show your work to obtain full credit. Points may be deducted if you do not justify your nal answer: clearly indicate your answers. If you need more space, use the back of these pages and clearly indicate where the continuation may be found. Write as legibly as possible: you may use one letter-sized sheet of handwritten notes. No other aides such as calculators, cell phones, laptops and textbooks are allowed. 3: (15 pts) consider the function f (x, y, z) = xey2. Z2 (a) find the direction of the maximum increase rate of f at the point p (1, 1, 1). What is the value of the maximum increase rate? (b) find parametric equations of the normal line to the surface xey2. = 1 at the point (1, 2, 2).
