math118 f04 quiz1 to4

# math118 f04 quiz1 to4 - f\ i 8 Name; To receive full...

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Unformatted text preview: f\ i 8 Name; To receive full credit, you must show all work. Math 118 Quiz 1 Question 1 (8) Simplify the expressions and eliminate any negative exponents: represent positive numbers) I 5 2’ ’4 CL ab2c3 63632—2 leC} ) 8') (w2y425) (hrz'cﬁ’) 1641’? J "is : 5 (Assume all letters Qiﬁsgi EDT? 3' , \l _ \i _ +— \g>¢\155’\$ DUDE. k’BXX‘X er WJ . I]: "’ 3 L .VOJ Cw W1“ 'vl X- ? Mfg) ‘1'?— J‘} \f: I / _ I - (4‘, v, J 187‘ 00 9* >“ *7: w om L" Question 2 (8) Simplify by factoring completely: :m‘éﬁ 1r 3 i a.) :c(2:r —1)7(:J: + 3)"2 + £3{m + 3) (2:1: — 1) XkZﬁ—\ )LX-isYZ writ—1N0 erszrgf’l 5% + 06 i — i y b) 3922(23 +1)”3 — (2;; + 1)5/3 ELL J, in- \ Se 1#—\ 17¢sz [373‘ ~Q4H) 1 LUHWE’ [ail—“H “3 “‘7 (2.740113 Kismet.” i‘ w LNWF Question 3 (4) Simplify the expression 1:1 _ (z :1? + \$23— 1 q \r X 'l'l T #1, ‘ ‘ I“? . 3 ) QGOU" ll —— 23‘ ‘1) A» H 5 4 gm , 1 ) «a -~Y1r§1+& iwi‘ilw 131M) Y. 1 +21} Name: lhlﬁﬁ To receive full credit, you must show all work. Math 118 Quiz 4 W; Question 1 [8 points] Consider the polynomial P(a:) = \$6 -— 64. a) Factor P(m) completely over lR into linear and irreducible quadratic factors, and use the factor- ization to ﬁnd all real roots. (X5+?>)C713 ' ‘53-) (1)13» 8) == 263- 113’ <_/9_,_§ 2..) 1 xii-2f ) , Haas +4) b) actor P(z) completel over C into linear factors, and use the factorization to find all complex (¢?--+-;.71+-“l) (wil'Zx'H) 7 [‘2‘ L.4- _ “2"”, 215T all u , , “kid? \ _,../ “I \e w : 2:552:24 ‘Q‘ a ‘ J :5 """' Z I" , we» "‘ Question 2 [4 points] Use the Rational Root theéihm and long division to ﬁnd all of the roots of 13(23):.13—6332-1-123—8. -_'r_ \ltzfttijt-g \—{Q 4H? ~58 742F47L+q , \B-H K «2'3‘51'7'331'532‘31im as "\TKD—"l"?_“{l) _‘ 2K3+Z~fl - <5 _.. 4 +41% '- 25 #HWEEM ' , v , » he — s Question 3 {4 pomts] ._ i, { 3L .i a 3.) Compute logzﬁ. 7 7,,_ﬂ_‘L' it . J- L/ I \(o ‘I" /. . . . (a: m 2)(I + 3)? r . b) Write as a Single logarithm: ln —‘/2_\$__———+-1-— With no log of a. product, quotient, root or power. as,» ‘4) ” I ﬂ Math 118 (221.1122 ?‘0 Name(. . .. . .. . a“. :z_ ‘ To receive full credit, you must Show all work. Question 1 [4 points] Find the equation of the line that passes through the point (3, —1) that is perpendicular to the line given by the equation 511: + 7y = 12. 4‘2 /\ a 5 Question 3 [4 points] Solve the ifneéuality 1832+ 7m —» 1 > 0. Eta—I /2>< +l) 7C) @Q7PO7G OV‘C‘ K274“ 5 7C.) : XI 7\/c‘ TEL 2X 71% OACi" 71;:K7‘Vl ‘ C” ‘9' . ("My 4/2.)? who”) {CULHWLO ova, [EL—HULO \m : Ma we ,1) \$4 v‘IZ >6? Question 4 [4 points] Solve 2m+\/a—:_+—12=8, L ’1. if; [e (\3 “Maksﬂlﬂ 1 , r 2 2).; 75,3, ' We 4.“? 2: tmkgcx—q (0% ' +\ :4(f"—\$¢+1Lo -, a '- 1“ ' §+\¢4+L~%Z>L+FCH- ,CMFF-v-E \/ ‘ LL‘lycz-“E‘Bvc +03 ‘ ‘ ' , w 3211+ , as '3 5 I “L. " ’ 03,9 to GM?” ” 3 a at). 3 f4 577' , \ . '< ' .‘ ___.d » ﬂ .1. .___ \dﬁL LEV}, \‘L‘F @ X 5 agLa/‘(A Z 1" / 39-5 Question 5 [4 points] Find the equat1o o the circ e with center \(1, —2) that passes through the AJ, point (0,5). 4 ‘ a —) )Z-+ CU-tzbl :_- C 2. Name: To receive full credit, you must show all work. Math 118 Quiz 3 Question 1 [5 points] Find the average rate of change of the function f = V9 —3: over the interval [0,4]. L) E Sq n O 3 Question 2 [5 points] Find the point on the graph of f{:1:) : 7 — 4m — \$2 where Hz) has its maximum value. Be sure to include both the :z: and y coordinates. dxlﬁqgl?!‘ ”( l+-"i)<_-:7ll 1C8) r—QeraHg >< +232+Li — ? diwwﬁ mi volt/L 0216705 yanl— =C) Q Li.t,_i’91_23 : egg/KW 2(2Nm 7L— (Mr 1 4932915 _ L _2' if .. E: :c Question 3 {5 points] A rancher wants to fence in a rectangular area that has on one side a river. Because of uneven terrain, it will cost \$2 to build the two sides perpendicular to the river and \$5/ft to build the side parallel to the river. If she has a total of \$1000 to spend, what are the dimensions of the largest rectangular area that can be enclosed? c‘ .' i _J ‘f ,5 I {i ."i ."ivff if .i 5 — ' {59 OM lit 274 2' mm- a 3‘28ng BL‘JQEJP \"E (fies 5*” ‘ a Cl Mo Find the inv rse function f'1(m) for the function f(:c) = Question 4 [5 points] 1 c 7K :3 \/X+i0 SE'LhA york? 1 \ +54% #3: “C03, X Ei’r‘rn = \$4“; ’1 t 42 ‘ Sf BELFLT Cir”) K84“ ) X: g—Ucz 2 saw. LON «F31 ...
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## This homework help was uploaded on 02/08/2008 for the course MATH 118 taught by Professor Satff during the Fall '00 term at Cal Poly.

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math118 f04 quiz1 to4 - f\ i 8 Name; To receive full...

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