TEST-2-Answers - TEST WEEK 2 ENGR 3723 Name:_ Closed book-...

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TEST WEEK 2 ENGR 3723 Name:______________________________ Closed book- closed notes PROBLEM 1 (10 points) a) Obtain the gradient vectors of the following functions: x xy e z y x f zyx y x z y x f zx y x z y x f xz 33 sin ) , , ( 2 6 2 5 ) , , ( ln 5 ) , , ( 3 3 2 2 2 1 + = + = + = ANSWER: + = + + = + = xz xz xe xy x xy y ze z y x f yx zx y zy z y x f x y z x z y x f 3 3 3 2 1 3 ) cos( 33 ) cos( 3 ) , , ( 6 6 4 6 5 ) , , ( ; 2 / 5 ) , , (
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b) Obtain the Jacobian of the above system of three equations. ANSWER: + + + + = = xz xz T T T xe xy x xy y ze yx zx y zy x y z x z y x f z y x f z y x f J 3 3 2 2 1 3 ) cos( 33 ) cos( 3 6 6 4 6 5 2 / 5 ) , , ( ) , , ( ) , , ( PROBLEM 2 (25 points) Consider
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This note was uploaded on 08/31/2011 for the course ENGR 3723 taught by Professor Staff during the Summer '11 term at Oklahoma State.

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TEST-2-Answers - TEST WEEK 2 ENGR 3723 Name:_ Closed book-...

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