Quiz1num2soln

Quiz1num2soln - Math21a Quiz#1 Oct 23, 2007 See 6—7pm...

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Unformatted text preview: Math21a Quiz#1 Oct 23, 2007 See 6—7pm Print Your Name *5.“— Sign Your Name ____h‘“ 0 You have 30 minutes. 0 Each problem is worth 10 points. 0 Showing as much work as possible will guarantee the most credit. 0 Partial credit will be given 1. Find the limit . \/_~4 1131—13136 71?): (a/ujj/‘nj II’] J’W ’1, I6 ; Q VAL/1 7le//S US h07/A'hj I6 - lé O Fador hm 07*”! : um W—L/ , :m,..i.. , .L x-NC leé x916 {RAG/Jim) ’- "m R“! 8 2. Find the slope of the function’s graph at the given point. Then find an equation for the line tangent to the graph there. f(a:) = 33:2 — 2; (2,10) y: m(x~xo\ +yo wAerc (Xv/X0) : (2,10) ; J? A m :1 dx 3F 5; = 12 3. Differentiate the function via the difference quo- tient(definition of derivative) and find the slope of the tangent line at the given. value of the independent vari— able flat) 2 11:37"— 41 at m : ~—2 / (X740 v]C(><) : {I'm (xHfl'L—H _X"'+l,’ [x3 : be h “0 A 2 1 - m w _ um zAH/r _ um _ ’h—w A fill-70 A #590 ZX+A ’ZX 4. Find 6 > 0 such that for all a: satisfying 0 < 11: —— {col < 6 the inequality If — L| < 6 holds, given f@)=Va;:5}L=6um=1a&e=1 WVWLé 1m —a/<; ~[4J‘I’x— ~G<l 13¢ 54W<7 . 5'3 IR: 25<Wx"’lL”/‘f ff Zblfl<x<7 O<IXIXJ<J l‘e xséxo % Rug/<0? nun who ;' lxvlokd' 5 ll 7 —2 II l“ 104%} 5:10'27= a, =q or '5+l0:% =7 :iqlv/owrgfi :% ...
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Quiz1num2soln - Math21a Quiz#1 Oct 23, 2007 See 6—7pm...

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