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# Precalculus Mathematics MATH 104

KU

GPA 3.6

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This 8 page Study Guide was uploaded by Edgar Jacobi on Monday September 7, 2015. The Study Guide belongs to MATH 104 at Kansas taught by Staff in Fall. Since its upload, it has received 34 views. For similar materials see /class/182400/math-104-kansas in Mathematics (M) at Kansas.

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Date Created: 09/07/15

Math 104 Exam 1 Review Spring 2009 1 Given the points A 72 75 and B 31 a Find the distance between A and B b Find the midpoint of the line segment joining A and B c Find the equation of the circle with center at A and passing through B d Find the equation of the line through both A and B e Find the equation of the line through A with undened slope f Find the equation of the line through B with zero slope 2 Find all intercepts of the graph of the equation 2 y2 7 z 4y l2 3 Find the equation of the line through 71 3 which is perpendicular to the line 72z3y 9 4 Complete the following given the system of equations 7x 3y 17 4x 3y 7 a Write the augmented matrix for this system b Solve the system using your choice of method substitution elimination or matrices and show all work c Are these two lines parallel perpendicular or neither 5 Solve 7 8 a 7779 774 2l 27l b 2z73l77 c 2x2 19 33 d z2 8x 14 0 by completing the square then verify by quadratic formula e x45x27360 f f 7 m 71 g 3 4 7524 s 9 z 12 h z 2 i 3 7 2zl gt 7 1 2 7 2x 2 3 gt3 k m 7m m 7 m 2 e 1511 m yn y 1 e Iwa m ys cm of equine 32 9 Sam um 33mm mg Cmsxun dummhun m hukrsnmmuun 2 7 a n z lt o ngnmuzpt Wmmmmm 9 WWW mm 9 mm m4 0 ma m an m m m b rm 11 mm m m m m n ma 142 a MymmmmmmwMMW c and m dmum 1nd mg of 141 9 Skc ch hcgnphaf 12 mdjquotzm csmc 91d 10 m m m 9 m mm m m m m by my m m m m WWthmmmwm w wmm 11 ms mm 1 Wm glph 3 Shawn bcluw m m glph bdrm 3 an mm wmdaw 71010 mm Indy 12 Demmm n am when glphed bdw 3 mm add a name L11 0 9 9 0 E9 A Leisure Time Cruises riverboat travels 46 kilometers downstream in 2 hours It travels 51 kilometers upstream in 3 hours Find the speed of the boat and the speed of the stream The air mail rate for letters to Europe is 45 cents per half ounce and to Africa as 65 cents per half ounce If Amy paid 1855 to send 35 half ounce letters abroad how many did she send to Europe Find a function Vz to represent the volume of an open box to be made from a piece of cardboard 14 by 11 inches by cutting x by z squares out of each corner and folding up the edges Determine the domain of your function As blood moves through a vein or an artery its velocity 1 is greatest along the central axis and decreases as the distance r from the central axis increases The formula that gives 1 as a function of r us called the law of laminar ow For an artery of 05 cm we have m 18500025 7 r2 0 g r g 05 a Find v0l and v04 b What do your answers in part a tell you about the ow of blood in this artery Find the domain of the functions a we 7 9W M71 x2 7 z 7 6 Determine whether each statement is true or false Justify your answers a There exists no function such that f f 1 b A function with domain 700 0 can be an even function c If f is a one to one function with y intercept b then f 1 has z intercept b d A function with a square root cannot have the domain 700 00 fz z 7 4 and gz 2 7 16 then gf4 a 716 b 4 C 0 d 4 Which of the following is not a function y by5 C 12y29 oy772 2 U The solution set of 3 7 xi gt 7 is d f 1z does not exist 1 25 The domain of fz W is a z 7 73 b 37 00 c 7007 3 d 37 00 26 Which equation represents a transformation of one of our common functions that shifts two units to the right three units up and re ects over the z axis a 95 396 2 b fx m 3 c we ix 23 i 3 d 95 95 i 22 3 27 What is the center and radius of the circle with the equation x 7 22 y 42 9 a C 724 R 9 b C 274 R 9 c C 724 R 3 d C 2 74 R 3 6 7 8 Math 104 Exam 1 Review Key a xa b 12772 c z 2 y 5 61 d y 296 7 e z 72 f y 1 4041007602 3 y x a b 96 7272 5 c neither a z 116 b x 725 c z 73111 d z74f747 e Real solutions z 72 2 f z 9 g h 273 1 700772 U 5700 1 700771 U3700 k z 7856 1 y 447 967172 1 734 D 700700 7300 a 714 b 152 i 922 c 5 7 2x 7 h 10 11 12 15 16 a D 74mR 73700 b 071gtlt5ogt c r1ltzgt7ltz 3 7 4w 2 73 d Answers may vary Show f 1 o f o f 1z z e D 73mR 74700 f Answers may vary g 3f 1 2 a f96 m b f96 196 i 21 1 even a relative minimum f 2 1 relative maximum f 0 5 b 70070 U 2700 C 07 2 d none e y int 5 z int about 72 f no g f0 4 a f996 z2z4 b 97f96 232 c fgz 2x3 7 x2 5x 3 d f9w 7 963 33 e 9 MW 74962 2z3 f fof 4953 Boat 20 kmh Stream 3 kmh 21 letters to Europe Vz 14 7 2x117 2xz with 0 lt z lt 55 or 0 S x S 55 a v01 4440v04 1665 b Flow is faster near central axis a D 08 b D 700772 U 7273 U 3700 20 21 22 23 24 25 26 27 O O U a False b False c True d False

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