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midterm2-a

# midterm2-a - Name Sec No Math 10C(Klep Midterm Exam 2 PID...

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Name: PID: Sec. No: Sec. Time: Math 10C (Klep) Midterm Exam 2 February 27, 2008 Turn off and put away your cell phone. You may use one page of notes, but no calculators, books or other assistance. Read each question carefully, and answer each question completely. Show all of your work; no credit wiII be given for unsupported answers. Write your solutions clearly and legibly; no credit will be given for illegible so.lutions. If any question is not clear, ask for clarification. 4 TT Points Score 1 10 t 8 3 12 4 10 t 40

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1c*5 (&x * (3"'r;a : . t < A ( ? * : - 1. Let f ,(4,,ut' #q's) o (u) f @,il - cos(2r - a) . a 3 + l (6 pts) Find the equation of the tangent plane to the graph of the function f (r,a) at the point (1,0,0). = - Z s ; ^ ( ? x - 1 ) u " t L -*,*-L32 4 s*m- - I t, l * o g e p - V-C?4- Y*\ + l (X'0) + ei z = nl*( x, r ga) (x' x*) "/r( xo * "1" ) (3- )") + Lo /.'- "*2(K' 'le) - 7 (b) (4 pts) Use this equation to estimate /(1, -0.1). Z 7 -71.. -k>*t(-O") -- ,l + }, * O.t
Let d : 2i - f, and ,ri : (8, 2, -2). (u) (5 pts) Find a vector orthogonal to both d and fi. f "d ?iurs G \rdet6'c or{t.g,"*o\ f '''l fr - d J l l ; r ' - Y l = ( R , T - E , 1 ) ; ( ? ' ' 1 ' ' t ) I t I ' A l 2.

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