WSU.S2010.M273.MidtermIExamKeyCorrected

WSU.S2010.M273.MidtermIExamKeyCorrected - MATH 273 - Spring...

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Unformatted text preview: MATH 273 - Spring 2010 M idterm I NAMK Xro:=- Please circle your section: 1 2 3 8:10am 2:50pm 12:00pm For full credit, please show all w ork. 1. (12 pts) Find an equation of the tangent plane to f(x, y) = 2x In y at the point (1, e, 2). vf CXl-~) -; ..(,2QV\('j), .2~ > " f ( I, e) -::. < J..) 2/ e > v \ 2. (-x-I) t 2./~( 'j - t.b - (~ -.l)-:=!!J ~~-:1. T ;LIe:. ~ - 2 - 1: t.2.. -:::... :21< 1- .1./ e ~ - r - '2 =-0 de'JC + ?. ~ - e,.-l:.- ::t e. '::. 2. (8 pts) Given a = (2, -5,4) and b = (7,1,3), determine the following: (ii) a x b 3. (12 pts) Find the following limit, if it exists, or show that the limit does not exist: . 3y2 + x 3 hm (x,y)--+(O,O) 2x 3- y2 t.t.t f (~t ~) -,;.. 3~."...-X 3 .2?C~-'1'2. ~) A-pfUJa..ch = X-~(S ~ (1.1 ) {('X/O)-=- 'X~-:; 1. _ .:2 )(3 2 ::f ( ' ) l J~) ~ 1 05 (X'iJ)- 7 ( D,D) ~ I..Jtu. X-().4C13. ~C) ~a..dt ~ tj.-a_x(~: (O~y) f(o, tj)-; k ' : :- 3 _ lj2....
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WSU.S2010.M273.MidtermIExamKeyCorrected - MATH 273 - Spring...

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