41e1sp07

# 41e1sp07 - MATH 4 I What is the average rate of change of...

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Unformatted text preview: MATH 4] I. What is the average rate of change of the function ﬂax) = 6m — 3 between :2: = 9 and a? = l0? 3 UV :3 ED 2. Determine the equation which expresses that N is proportional to k and inversely proportional to P and y where a. b and c are constants. uy . N = — a) 1:13 b) N = 1 br' c) N = {1—}: Ny bP rl N = — ) yk e) N : i yP f(a + h) - fl“) 3. For the function It») : 51-2 + 21 ﬁnd I 1 where h % 0. a) 15h + 10a 1)) 5h. + 20:: c) 10h. + 5a (1) 5h + 100. 0) 5h + 5n. 4. A father is four times as old as his daughter. In 4 years, he will be three times as old as she is in 4 years. How old is the daughter now? a) 5 years old b) 3 years old c) 8 years old (1) 4 years old e) 12 years old 5. Find all solutions of the equation 7'11?2 —- 28:: + 56 = U. a.)1‘=8+8i,;r:;8w8i 1));r=7.:r=56 e) m:2+‘2i,:r=2—2?L rl) ;r=2+3t',:r=2+3i e) 12:2,3'2—2 EXAM 1, FORM B SPRING 2007 6. It took a crew 6 hours 24 minutes to row 1.92 km upstream and back again. If the rate of ﬂow of the stream was 4 km/h. what was the mwing rate of the crew in still water? a) 6 km/h b} 8 kin/h e) 10 km/h cl) 11 km/h 6) 12 km/h 7. For f(3:) = 3:4 + 2,9(1‘) 2 :c — 4. and Mn?) 2 J} ﬁnd (f 090 h.)(q:). a) x4+m—2+\/Es b) (m4+2)(w74)x/§ C) (x572)d d) (ﬁ74)4+2 c) 3:4 72 8. If the points J’(7. 2). (2(0. 9) and R(—7, 2) are drawn on a coordinate plane. where must. the point 5' be located so that the ﬁgure PQRS is a square? 3) (0, -5) c) (75.0) d) (U« *4) e) (*7. Cl) 9. Find all real solutions of the equation (a: + 8)2 = 4. a.) x:—10,3:=10 b) 3::6.m:10 e) r=2.:c=—2 d) 3::w-2.:c=4 e) m —10 H l P“ .. ll 16. Find the inverse function of f(:c) : 1 . J: + 3 1 a} f—l{:1,') : 7 ﬁ3 a: l _1 A; I») f (x) — r , 3 c) rm») =2: —3 d) For) : i +3 e) f’1(w):m+3 MATH 41 EXAM 1, FORM B SPRING 2007 11. Find the center and radius of the circle with the equation 2'2 + 3,2 + 16. Solve ICE 4- 8| 2 6. 8.1” = 0. a) (—00, 00) . . ‘ ' e‘l a) center (4.0), Iadl'lh 6 b) (—m,714)U(72,oo) b) (‘L'nte‘r (74.0). radius 6 c) {_ 14, —2} c) center (74. 0), radius 4 d) {—00, 7'4] LJ [—2300) (1) center (0. ~4), radius 16 e) [7200) 1‘) center (—4. 0), radius 7 1?. Solve 2:2 — 4a: — 5 = 0. 1‘2. Determine the correct area for the triangle formed by the coordinate axes and the line 6x + 8y i 48 : 0. a) a: = ~5,:r. = —1 n) 24 b) :c=5.:r::1 b) 22 C) :c=5.:z:=—l c) 25 d} m=—5,:;;=72 d) 23 e) m:4,a::5 e) 26 18. Which one of the following equations deﬁnes y as a function of .r? ‘ ‘. ‘I' _ - ' . 2 in = _ LS. Elnd all real bOluthl’lS of the equation (J3 + 1) 6(ac + 1) + 8 0 a) \$24 + (y _ 12)2 I 24 a) \$=3,m:72 b) 24:1;221: 1:};r=3,a:=—1 c) 24x+ly|=21+m2 4_ T c) m=ﬁ.:c=2 (1)273: _33 d) a: = 3,3: 2 1 e) 1:243; + y(rn —144)= 11 e) m : 6,3: : —8 19. If the graph of the function f(:r:) is reﬂected in the :rr-axis and then shifted up 5 units, the graph of 9LT) : 5 — 3:2 is obtained. What is 14. Find the maximum value of the function ﬁr) = —4m2 + 16.7: — 50. 1'03)? a) 2 a) “20:23—51 b) 34 h) f(a:) : x2 + 5 c.) 734 c) for) : e352 + 5 d) 72 cl) f(.t:) = —:r2 e) 729 0) ﬁx) 2:112 If g l 1 ‘21! — 9 < 3 20. Determine the correct equation for the line passing through the point L" ‘ 0 m g < 16 — 3(331) which is parallel to the line passing through both of the points (6. 1) and (72,41). 11 2] a) ‘3‘ 3 a) y = *151? — 19 1 13 '1 5 ) 5 + 1 . t c y : .1: ﬁ- C) (2. 2] 19 d) ’1" l i = _,_,‘ 7 7.. d) _l. E) y 19 2 2 1 1121 ely=_5m+ﬁ (a —i 2 2 02/21/07 MATH 041 1 — EXl ITEM NO. FORM: B l C 2 E 3 D 4 C 5 C 6 B 7 D 8 A 9 E 10 A 11 C 12 A 13 D 14 C 15 E 16 D 17 C 18 E 19 E 20 B ...
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