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160sp08s1exam1key

160sp08s1exam1key - mm 1610;61‘ W Peterson Exam 1"...

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Unformatted text preview: mm 1610;61‘; W Peterson Exam 1 2/1/08 " Each Problem-is 10 points. Show adequate work. NAME K6 I 5 ' 1. Si/mplzify each expression. 2, . 2 z .2/ " " a , (2738)” 5:15:23 2. Solve for x. x2 +15 : 8x xZ—gw (5+0 ® 3. :Fihd f(x+h), but Do Not Simplify. 7a. f(x)=2x3+x+5. fix 1%} : Z<K M334— CK+M+ S" >b.- f(x)=—x+11. what!) :: -(><+h) +Il. 4. f (x) = x2 — x+ 2. Use the limit definition of the derivative, to show that f ’(x) = 2x—1 +21) :lcwl mf€x+h§~fl>¢> I ‘2 héo h __ [M (gm L—(x+h§+>,- XEXUS 5/” .. M70 1’\ _. . aééaéréfi:a§igz§:a§£§;gg t. lm . /ZD Mo 1'1 5 '(M hClK‘Ph") 2}, hfio 14 Evaluate the limit, or state that it does not exist. ' _L malt—1 :: 11W! % -: [WVK : x “1 30>. 6+!) B ‘6' X“ W, (a m Consider the graph of y = f (x) . :— ZK" I W 2’3,o,;,4,c} g’ a. At which values of x, is f (x) not differentiable? b. At which values of x, is f (x) not continuous? [O Z 6] 33 7/ EA” w : £00 3’ W \ (13996??? X T30 q ‘ » L :1 3 X "’ S K 7. a; > Differentiate y = 3x4 — 32-. x I 3 ,5 3 (o (7 :lzx +IO>< :IZX+~>—<—3- S— .. 3 i b: P(s):47;3+J§. Find 6% P(S) :- 4/ 77 + S dP , i ~‘z I E, dg"ig : zxf‘s' 8. Differentiate, but DO Not Simplify. ‘ 4 1:. ;3{5x"+7x-13) 3 W: {1(s“2<3+?7<*l3>(’§xl+ 7') /O 7. EK’K 9. Find an equation ofthe tangent line to the graph of y = Eager , where x : 3 . i —. - ~i W lfiX13',‘q=/s" m Mac ll 10. A position function, s(t) : tS At‘5 . 21. Find v(t) , the velocity. q .. v(t) : 5% + 5 é (p S, h Find a(t), the acceleration. Mt)? Zotzvfioév? g ...
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