1\/Iath 1090.003 Midterm 02 Spring 2016 Student ID #: /? Class ID #: lustructions: • Remove headphones and hats during the exam. o Show all work as partial credit will be given where appropriate. If 110 work is shown, there ma be no credit given. • All final answers should he written in the space provided 011 the exam and in siniplthecl form. \Vlien needed, give your answer as an exact amount, i.e. a fraction or symbolic expression, except for dollar amounts which should be rounded to the nearest cent. o You may ask for scratch paper. You may use only the scratch paper provided. Please transfer all finished work onto the proper page in the test. We will not grade the work on the scratch paper. Box your final answer to each problem and write it on the lines in the right—hand corner, if provided! • Scientific calculators are allowed on this exam. Absolutely no graphing calcu lators. No other electronics are allowed. • If your phone is out during the exam it will be considered a cheating offense put your phone away! PLEASE DO NOT WRITE BELOW. THE TABLE IS TO BE USED FOR GRADING. Problem 1 2 3 4 5 6 Bonus Total 1 Score - C”1 C) C C - CC C g D . H! II - H CC C’I \__...___ : C E U C) . C” “L— (- II — -t v— —i r—\ — — r-J C- rn - L____i (— — (-0 — — — — -_____ — - I - I (ID — C) -4 r) :- - — cC) — — r’j —J N 1— - r/) — -—- — ) I — ‘4 I — -7 — L_J -I cL r -p ,II I I I £ a ‘I LJ -. — — - I :i’ cZ 0 n — 0 -D D —c-I — rTh Th I C) —-0 - I. Midterm 02 I\/at1 1090.002 (Continue work from (c) if needed.) I - 0 — - 0 DO I I 0 / 01 (ci) Check your work using Matrix 1\’Iultiplication to show that your solution is correct. SHOW YOUR WORK. ir n 3 \\ () t 2 ft) + ( 3 (Th C) LV . Ice 0 1 H4jI 1 II L,J / N (0 1-f Co it U + I.)) >c C) ii U-” ) -j c-fl SL) - 4 (1 N L’J cJ LA) 0 Lf 0 0 I - I 1 Uk; i-J I ___% H—.. -: (7] ‘I cm 2 0 0 0 D 2+ I en lj I 00 D 1’D cD I\iidterin 02 Math 1090.003 Label your lines and axes. I I (3)2) 2 (3.- ) (3iO) 4 —2 —2 —4 5 Midterm 02 Math 1090.003 3. Given the matrix 121 0 1 1 —1 1 A= 3 A’. find I I 4 1YVkckCI (V&iU / 130 0 ( 0 [10 0 1)0111S] 2 Y 1% I 1/10°? ° ° / I ‘ I I 0 o —— - - -- o cam - R I > o - - 3 o - 0 0 i 0 )/ . 0 C 2 a 1 r 0 1 L -o v RrR o o 0 - - 1/2 C 3 0 0 \ 0 C I(L 1 1° 0 _L’ (3 0 C) lcD “p ° I — J - ‘/ -‘i1 _t/ 6 P1i -Iz j _) I T _) V I, o I -\I I ‘i2i 2 6 - 0 ‘/ -/ J ç-Lj cij (f C) C c-9 I Li C 0 -Th 0 —0 N cI (YI d oO a3 C) -i-i: C o I Ii 0 oCi -J o cj (I ___1 c LT yJ c5 4- C 0 F; II ‘:‘:_J ) 1’ C 2 I -o -+ I’ A I! 0 r- -I t-) ;. — - C) Th -t 2 ._i c—i —.-fl C. c— c) ‘-.- - - C- II II p CYD — -5 j H a ‘I’j - cJ ij. ji -J -- (..4J I f: -i 51) ii 1 Cr’ . -4- - \J ! + C’ CL; 9) fl i— -) + 3 •*- — — - -1 Th V (J) /-‘ N-’ >c>< — - -— H Midterm 02 Math 1090.003 6. (a) Suppose you are given the equation Q 2 + b: + c finding the solutions to tins equation. = 0. Write the quadratic formula for [15 poillI s] X (b) Solve the following quadratic equatioii for I b I ± 5 )çZ b-\ i 2 using any method: 3.i — 16i + 5 = 0. o - 0 0 0 Ct 0 cJ 0 CD I - 0 4— Q -i-- %_i = 2 N 1” ) U -I I .4- x ‘— 0 ‘I 0 ) -3 0 (Th 0 0 0 N I Ii ,—‘l ry, 1 0 0 90 ‘—4