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School: WVU
MATH 155 Review Problems for EXAM 3 1. Related rates (1.1) If The length of a rectangle is increasing at a rate of 8cm/s and its width is increasing at a rate of 3cm/s. When the length is 20cm and the width is 10cm, how fast is the area of the recta
School: WVU
School: WVU
MATH 373 Additional Exercises Chapter 1: Basics of Number Theory (A1.1) (i) Let p be a prime and let a and b are integers such that ab 0 (mod p). Show that either a 0 (mod p) or b 0 (mod p). (ii) Find an example to show that there exist integer
School: WVU
Homework 3, Solutions (2.3)(a) Let g be a primitive root for Zp . (a) Suppose that x = a and x = b are both integer solutions to the congruence g x h (mod p). Prove that a b (mod p 1). Explain why this implies that the map logg : Z Z/(p 1)Z = Zp
School: WVU
Homework 1, Solutions (1.6) Let a, b, c Z. Use the denition of divisibility to directly prove the following. (a) If a|b and b|c, then a|c. (b) If a|b and b|a, then a = b. (c) If a|b and a|c, then a|(b c). Proof: (a) Claim 1 2 3 4 5 Statement a|b &
School: WVU
MATH 155 Review Problems for EXAM 3 1. Related rates (1.1) If The length of a rectangle is increasing at a rate of 8cm/s and its width is increasing at a rate of 3cm/s. When the length is 20cm and the width is 10cm, how fast is the area of the recta
School: WVU
Course: Non-engineering Calculus
, - k 2 L ; + ; 1 - , : L ) x v , l. eo x - le JT 1 t rc ) 1 w : . L = , & : 1 U x z x - = Je - 2 . (2 po in t s . Si . . " Nl " : - - Y ;: q (2 p ,I " w )A - - 1" " n l o f a r ea * . " 4 v r . F 4 A 4 J . - b - , 3 00 L : : sq . Are fe, t is t fee t 1.
School: WVU
Course: Elementary Differential Equations
MATH 261.007 Instr. K. Ciesielski Spring 2010 NAME (print): SAMPLE TEST # 4 Solve the following exercises. Show your work. (No credit will be given for an answer with no supporting work shown.) Ex. 1. Transform the following system of equations into a sin
School: WVU
Course: Elementary Differential Equations
MATH 261.007 Instr. K. Ciesielski Spring 2010 NAME (print): SAMPLE TEST # 4 Solve the following exercises. Show your work. (No credit will be given for an answer with no supporting work shown.) Ex. 1. Transform the following system of equations into a sin
School: WVU
Course: Elementary Differential Equations
MATH 261.007 Instr. K. Ciesielski Spring 2010 NAME (print): SAMPLE TEST # 3 Solve the following exercises. Show your work. (No credit will be given for an answer with no supporting work shown.) Ex. 1. Find the general solution for the following dierential
School: WVU
Course: Elementary Differential Equations
MATH 261.007 Instr. K. Ciesielski Spring 2010 NAME (print): SAMPLE TEST # 2 Solve the following exercises. Show your work. (No credit will be given for an answer with no supporting work shown.) Ex. 1. Find the general solution for each of the following di
School: WVU
School: WVU
Course: Non-engineering Calculus
1 . (3 Po i n t s e a c h ) Fm d t r e d e r i v a t i, e o f a B i. E n f u n ct i o n i 31 t 3 (x ) g ( h (x j (x ) ) = ) = = s n (W = _ + co . 6x z ) x ) ( 2x _ 4 3 , - D o N O T S IM PLIFY 2 .J J e - (5 x (4 . . ) U ) 7 . ) N. . e M AT H 15 5 a. " 5 (
School: WVU
Course: Non-engineering Calculus
: M . . " " ) St m 2 + b " " " : " " " b . ( " " , 11" / ? h t i. e S1 " . " . N n . n o " d , li n i t i o . . M t l," !" I . " " . L " " . " k . t; \n 9 D 4 . ( I. h ) rr y . - f. tr. . thr" j. rrf is Ti r y . H y " I " " . is Fi . - by , od d , d f
School: WVU
Course: Non-engineering Calculus
Qu i z 3 A lgeb r aic L im its _ \ \ = J - ; L A J _ , ( : I ; J > j \
School: WVU
Course: Non-engineering Calculus
M AT H 1 5 S Q u Da 1 [u t e : - Na m 1 Sk e t c h . a . b c d . . . iz 4 2 Iim O N E F U N CT IO N w it h t h e f o llk w in g p r o p er t ies x ) = 4 . - 0 Ii n i . Ji m . Iim - 0 - - . 4 4 f( f [ J: J " j (x ) (x ) - 2 = _ - Co C o . @ MAT H 155 " 4
School: WVU
Course: Non-engineering Calculus
e 1 1 e 0 e ;A 0 e t 7 . (2 ) - )L ? : s " Ci " " ) 01 3 0 ) . - O
School: WVU
Course: Non-engineering Calculus
M at h 4 Sec t io n : 5 5 H o m ew o r k D u e : F in D o d W 7 ( 2 5 p o e d n e sd a y , 2 n t s) q , Ft h e th e d e r iv a t iv e s n o t s im p li fy 2 0 1 3 y ou fo llo w i n g a n sw er s fu n c t io n s . 3 L . (4 w l. ) g (= ) = 3 s i n a - 3= 4
School: WVU
Course: Non-engineering Calculus
Do M . Ilo Lh n : . 1s 5 " 0 . k 1 (2 0 p . I. t . ) 15 L 0 (= ) : B = (b ) (5 ) R w > 0( ri 1 . +; B /a h 1a t e t l , e f . ) : q . S; ll. " I. g li. .It. . 2 . ( ) Sk , ci o n i " t 1l , t l . " ,1 f w I. ( : o f " l 0 0 m ) " " f " io " " t h . u o
School: WVU
Course: Non-engineering Calculus
* X k D . Eb , T , (25 p o in t s Mm ) au of t he p r o b t , m s . I 1o - Enal uat e t h e 1 1 Se c 2l 5 y o u r W o , k t ion : g N am o : M1 w . lim i t s 0 i w r \t th e \ hL t v ) or ol n p K o\ w or k n ot t cfw_ e Q r n " - \ , o a 6 . L _ I n 1
School: WVU
Course: Non-engineering Calculus
Ma t h k 155 il . 5 2 : . ) 0 " : . :i : ! ( " u ) Na m e: Math 1 5 S Ho m e w o r k Du e Nam e 5 T , ! . (4 ) , " " t " " " , o r , I" 2: " : g" : I. U1l y " . F1, " 1l . $+al . f " " " " " ( . , ] 9 - 3 3 . (4 ) Let f ( ) + 1. - u . T 1. l m " " 4 i.
School: WVU
Course: Non-engineering Calculus
* : X X :. D . e Ew . T l. . . (20 p J. Rsd o i . Ts AO ) 1. A r y l . At e t h e f ol i o. . R l i m i t s g I T . , S , im : : 2 0 1 3 Sho ). " " ,k . 1 6 Nm n . / qw n i n A: B - 0 H t . ? - t jx 4 < X cA &
School: WVU
Course: Numerical Analysis
Math 420 Spring, 2013 Syllabus Room 125 Brooks MWF 11:30-12:20 Course web page: http:/www.math.wvu.edu/~diamond/Math420S13 Instructor: Professor Diamond Office: 410J Armstrong Phone: 304-293-9082 email: diamond@math.wvu.edu Office hours: MWF 2:30-3:20 . Y
School: WVU
MATH 156, FALL 2012 Instructor: Office: Email: Phone: Office Hours: Text: Dr Hong-Jian Lai 320A Armstrong Hall hjlai@math.wvu.edu 293-2011 x2331 Tuesdays, and Thursdays 9:40 11:30am Essential Calculus: Early Transcendentals, by James Stewart Exams: There