exam-3sol

# exam-3sol - MAC 2233 3rd Exam Spring 2007(4 points Solve...

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Unformatted text preview: MAC 2233 3rd Exam ' Spring 2007 (4 points) Solve the following equations. Simplify the solution. . (a) 33m_4 = 9 33M = 3<=> 22%” = 3163 3X” ‘2 <=> 3x=é<=> x=2 MAC 2233 I 3rd Exam Spring 2007 (6 points) Differentiate and factor/simplify completely the following functions (a) W) = a- 2‘ 1Q'0<):[€X [1,: CXZ‘OIQX 1: ‘1 l X~ H Qxe (b) f(-70)=1n[(:135 + 334] £00 ‘-‘~ QWUXSMT’] =1 Wm (X't’iX) => I ©Q‘QX)> q[Qth9+x)]I;q (X9410 : >4" +2< : q 5Xq-H : LlCSxLHD xgm xCx‘ku) (0) 1%) = 111011-70) I M): [mm] -s (W =- “mi/X me 12X H x ﬂux MAC 2233 ' 3rd Exam Spring 2007 (3 points) Use logarithmic differentiation to calculate and factor /simp1ify the derivative of the following function. f(.’13): v3.1“ + 5(230 — 3)4 ‘ (1) ngtxh QmUZxHy CQK“;)({]: = if Q.” (ms) + q QM (M3) —~> 2(3X+9)C2x~3) , é -— + 9 ~ X 3 qX+SO zwzam ibxfﬂﬁxﬁ) 2(3x +S)(Qx~3) x» 3‘ (x) : POOQCQ :— r, m BLUC+7( * 2tzx+s)C2x—a> MAC 2233 ' 3rd Exam Spring 2007 (3 points) Use a Sign table to determine the monotonicity of the function f 2 \$361. J? (x) = [ﬂex] I= (xﬂ/ex + x; (ex)! ; Mi ex + xzex = ex (323%?) MAC 2233 . 3rd Exam Spring 2007 (4 points) Calculate the integrals 3 (a) (a:+ 1%: 1‘ W401 Ax = 53 02)erqu : O 0 3 ‘ Saxzobc +2§3XJ~X JrJobc‘: 03 a O 2 g o g X 510+ZL210+ XL“ 2.2.2.1.. LL :. 3:, 2) 1L 1 +3 9145+ 21 (b) («him 125201? ++gmﬂx =[2x‘12o1x4S1X’l/91x: [le2 1 x‘lil 2 2 I 2/2 1/2 :Lglg‘ 1+[ia 1‘? 9. ’1)*/9‘(9~ 4.) [1(M4M1M4ﬂ= ...
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