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Unformatted text preview: mm 1610;61‘; W Peterson Exam 1 2/1/08 " Each Problemis 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
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hﬁo 14 Evaluate the limit, or state that it does not exist. ' _L
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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
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7. a; > Differentiate y = 3x4 — 32. x I 3 ,5 3 (o
(7 :lzx +IO>< :IZX+~>—<—3 S—
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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"+7x13) 3
W: {1(s“2<3+?7<*l3>(’§xl+ 7') /O 7.
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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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 Spring '09
 crespo
 Calculus

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