hw7solutions - 14.7: #4: f x = e y , f y = xe y , f xx = 0,...

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1. Even solutions for Homework 7 1 1. Even solutions for Homework 7 14.4: #2: negative 14.4 #20: f = . 3( L K ) . 7 ~ i + . 7( K L ) . 3 ~ j 14.4 #24: z = 2 xcos ( x 2 + y 2 ) ~ i + 2 ycos ( x 2 + y 2 ) ~ j 14.4 #34: 1 2 ~ i + 1 2 ~ j 14.4 #54: A. 15 / 10, B. 9 ~ i + 12 ~ j 14.6 #2: t 3 - 2 t + t 4 14.6 #4: 2 e 1 - t 2 (1 - 2 t 2 - 2 t + t 3 ) 14.6 #8: ∂z ∂u = e v u , ∂z ∂v = (1 + ln u + v ) e v 14.6 #10: ∂z ∂u = 2 ue ( u 2 - v 2 ) (2 u 2 + 2), ∂z ∂v = - 4 u 2 ve ( u 2 - v 2 ) 14.6: #14: ∂z ∂u = - 2 usin ( u 2 ), ∂z ∂v = 0 14.7: #2: all second partials are 2.
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Unformatted text preview: 14.7: #4: f x = e y , f y = xe y , f xx = 0, f xy = e y = f yx , f yy = xe y 14.7 #6: f x = e y , f y = e y ( x + 1 + y ), f xx = 0, f yx = e y = f xy , f yy = e y ( x + 2 + y ). 14.7 #20: f x ( P ) > 0, f y ( P ) = 0 14.7 #34: 0...
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This note was uploaded on 01/18/2012 for the course INFORMATIK 2011 taught by Professor Phanthuongcang during the Winter '11 term at Cornell.

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