41e2sp07 - MATH 41 1. Factor the. polynomial P(31‘) :...

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Unformatted text preview: MATH 41 1. Factor the. polynomial P(31‘) : :1"3 +32 + 953+ 9 completely and find all its zeros. a) b) c) d) v) 32} 732'. —'E 3. 73.1 32'. 732'. —1.0 3%“ 732'. —l, 1 9. 79,0 2. Evaluate the expression log5 v5 25. 3. Find the horizontal and vertical asymptotes of the rational function TLT) = a-) b) C) d) e) 4. Use the F‘actor Theorem to choose a factor of 13(3) = 1'3 + 1:322 + M MlO‘ (JIM U‘l—‘ ,_. D 2 H'+4' horizontal asymptote y : 0; horizontal asymptote y = 2; horizontal asymptote y = 2: horizontal asymptote y = 0; horizontal asymptote y = 0; 401' + 48. EXAM 11, FORM A vertical asymptote w = 4 vertical asymptote x = —4 vertical asymptote a: : 4 vertical asymptote x : *4 vertical asymptote m = *8 SPRING 2007 r 1 o. Rewrite the expression log 63 + 5 log 5 — log 9. l log 5 1 b) log Efi c) 1n5\/§ d) log 35 e) log N5 6. Evaluate Sin 30" cos 45° + sin 45° cos 30°. EL) MlH b) ?(1 + o) }1(1+\/§) d) €0+ fl) e) iu—x/E) welfi 7. Find the .137 and y-interccpts of the rational function T(I) = + 8 . 1' a) wnintercept (0, 0),y~intercept (0, 16) b) muintercept (—2.0).yiintercept (0.16) c) :n—intercept (716,0).y—intercept {0, —1) d) ar—intercept (16, O). y—intercept (0, —4) :rr—intercept (16, 0), y—intercept (O1 —2) 8. Find all the real zeros of the polynomial P(a:) : :r3 + 8x2 + 43: fi 16. a) x:2,m:—2im b) .‘I‘=“2,CL':2i'\/fi c) 13:72.:c1—3j2V/fi c!) m:—3‘:c:—2:l:\/l—7 e) r=—3.a::_3d:v17 9. Indicate all 33— and y— intercepts on the graph of the function y = 3 33‘ — 27. a) miintercept 3, y— intercept —27 b) acuintercept 27, y— intercept 3 c) m—intercept 3, ye intercept —3 d) miintercept 3‘ y— intercept 27 e.) :r—inturcept 27, y— intercept ~15 MATH 41 EXAM II, FORM A SPRING 2007 10 If Sing 2 E rmd 6 is in (“11"an H find the vane of Put a 14. The area of a. circle is 50cm2. Find the area of a sector of this circle ' 5 i i that subtends ) 3 t 1 1 r 7‘ a —— ,_ 5 acenra angoo 5 3 b) ‘1 a.) 101-: C) 7% b) 77 3 5 c) 10 ‘1) Z d) 5 e) —E e) 571' 3 11. Find it polynomial P(2:) of degree 3 with integer eoefiicients, and 15_ State the range of the function Mir) 2 8 + zeros 3 and 21'. 9 . a 8, 00 a) IJ—3i‘2+4£1?712 ) ( ) _ b) (—00.00) b) .113 — 5T2 + 61' r C) (0100) c) .113 + 5:11"2 — 31' + 12 d) (—8. 8) (1).}:3 +- 3132+4x—3 9) (—8. 00) c) 3T2—5€F+5 16. The number of bacteria in a. culture is modeled by the function 12. Express the equation em“: = 0.2 in logarithmic form. 73(1) : 30012045: where t is measured in hours. What is the initial number of bacteria? 21) I: 74+1n0.2 a) 1 bacteria 1)) .r = 4 +1110.2 b) 45 bacteria C) :r x 0.2 — 1114 C) 300 bacteria. d) I:O.2+ln4 d) 600 bacteria. 9) .r = 4.2 + 111/1 e) 0 bacteria 13. If (I = 20. b = 25 and AA = 30° in triangle, ABC, find sin (B. 413 + 6m2 + 831 20 17. Find the quotient and remainder for 21:2 + 2—. a) fi 10 a.) The quotient is 4:17 — 6; the remainder is 2:77 + 3, b) — 13 b) The quotient is 4:1? 7 6; the remainder is 21' — 3. c) c) The quotient is 2:1: + 3; the remainder is 4.1? — 6. 2 d) The quotient is 251'. — 3; the remainder is 43: — 2. d) — 3 e) The quotient is 4:1: + 6; the remainder is 8. ) 13 e _ 15 18. Find the area of the triun 1e whose sides are a : 9.?) = 10 and g c I 17. a.) 18 b) 16 c) 9 d) 170 e) 36 MATH 41 EXAM II, FORM A SPRING 2007 19. Solve Iog3 (9 — J3) : 8. a) $230 735) b) 1‘=3{1+35) c) 33:9(J-l-93) d) 1:90 —93) e) 37:90 —35) 20. Find all rational zeros of the polynomial PM) = $3 — 48x -— 128. a) I:—4.I=~8 b) .‘I'=—4‘.T=8 C)1¥=’l1:17=74 SPRING U7 MATH 041 EX2 ITEM NO. FORM: A l A 2 D 3 D 4 DE 5 E 6 B 7 E 8 C 9 A 10 B 11 A 12 B 13 C 14 D 15 A 15 C 17 C 18 E 19 D 20 B ...
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This note was uploaded on 04/02/2008 for the course MATH 041 taught by Professor Brunsden,victorw during the Spring '07 term at Pennsylvania State University, University Park.

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41e2sp07 - MATH 41 1. Factor the. polynomial P(31‘) :...

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