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The eam. waitress replies I'm sorry [ INDISCERNIBLE ] but we're out of cream, how about with no milk. Anyway. I don't know.
>> Moving on. .
>> Oh, because it's with nothing.
>> Right.
>> So it's like the absence of it.
>> Yeah. Anyway. Kind of dumb. How can you tell the difference between a chemist and a plumber, ask them to pronounce ununionized. Get, unionized.
>> What do you get when you cross a joke with a rhetorical question? All right. Anyway. I thought that would be fun to share. Yeah. .
>> I have a physics joke.
>> You have a physics joke. All right, what is it? I'm waiting. .
>> We don't serve faster than light particles here says the bartender. [ INDISCERNIBLE ]
>> I don't get it. .
>> We don't serve faster than light particles here citizen the bartender. [ INDISCERNIBLE ] walks into the bar.
>> Oh, I get a. All right. Get it. It's faster than light.
>> It's faster than light. That's what the joke is.
>> All right. Well, I thought that would be kind of fun. Tori let me get you, your exam here. Hold on a second. All right. Any questions on the 3.7 and 3.8 stuff before we move on and talk about related [ INDISCERNIBLE ] day. We're going to spend the whole day on one section. It's kind of a big one. It's one of the biggest and useful applications of the derivative that we'll come across today. But at first, anything from the last section?
>> Could you do an example [ of INDISCERNIBLE, SPEAKER'S VOLUME TOO LOW ]
>> Like a radioactive [ INDISCERNIBLE ] problem?
>> Sure. There's one and the homework that I think I assigned. Number nine and number 11 both deal with data. Why don't we do number nine, I think. Number nine says [ INDISCERNIBLE ] 137 is 30 years.
>> Suppose we have 100-milligram sample to start. All right. Well, right off the bat, whenever, and pretty much all of these problems that you're going to do in 3.28 you're trying to determine what [ INDISCERNIBLE ] what's this thing that we don't know that we want to know. And they're going to give us some initial conditions to figure it out. We have half life, but we don't have what? The decay rate, right? We do know that y of t is equal to y initial e to the kt, for all of our problems we're going to follow that, and that was what we had talked about last class, right, before the exam? It's always y initial e to the kt, where k is your k rate or our growth rate, in this case it's the decay rate, and times is obviously the vary. So we have an y initial, what's our y initial?
>> [ INDISCERNIBLE, SPEAKER'S VOLUME TOO LOW ]
>> Yes, so we start with 100, right? So we have a function that's not y of t yet because we still don't know what k is. But we are given important information. Half life of [ INDISCERNIBLE ] 37 is 30 years so if we're starting with 100 milligrams, right? What can we plug in then in order to figure out [ INDISCERNIBLE, VOLUME TOO LOW

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UPenn - PHYSICS - 101

Caltech - ACM - 95/100b

are orthogonal:1Pn (x)Pm (x) dx =−12 δm,n 2n + 1(13)[hint: integrate by parts. At some point you should encounter1 1(−1)n−1(x2 −1)n dx = 20(1−x2 )n dx = 22n+1 Beta(n+1, n+1) = 22n+1 (n!)2 /(2n+1)!] (14)f) In predictin

Ohio - PHIL - 1010

until he gets the necessary operation and hormonaltreatment to look like a girl. Until he looks like a girl, he’s just not going to be accepted as afemale (however he feels inside)( note to “real” students (who have Discussion Board possibi

ULA VE - COMP - An

con el gestor de objetos para crear elobjeto de tipo proceso, con el gestor de procesos para crear el bloque descriptor del proceso, conel gestor de memoria virtual para cargar el ejecutable, etc. Cuando se carga el ejecutablecomprueba a qué tip

St. Thomas TX - ACCT - 5354

lentsAccounts receivable, less allowancefor doubtful accounts of $38.1InventoriesFuture income tax benefitsOther current assetsTotal current assetsFacilities, at cost, net of accumulated depreciationGoodwill, net of accumulated amortizationo

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COLLEGE OF LAKE COUNTYJuly 2, 2013CONFIDENTIALROUGHLY EDITED REALTIME TRANSCRIPTThis transcript was created in real time by a Certified Realtime/CARTProvider. It has been roughly edited. It is not a certified legaltranscript. It is intended for use

Lake County - EGR - 125

Lake County - EGR - 125

[!CART EVENT] February 20, 2007 CONFIDENTIAL ROUGHLY EDITED REALTIME TRANSCRIPT This transcript was created in real time by a Certified Realtime/CART Provider. It has been roughly edited. It is not a certified legal transcript. It is intended

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COLLEGE OF LAKE COUNTYJuly 3, 2013CONFIDENTIALROUGHLY EDITED REALTIME TRANSCRIPTThis transcript was created in real time by a Certified Realtime/CARTProvider. It has been roughly edited. It is not a certified legaltranscript. It is intended for use

Lake County - EGR - 125

CALCULUS PROFESSOR: Good morning. TARIC: Morning. PROFESSOR: Lisa, were you just walking down the hall that way? STUDENT: Yeah. PROFESSOR: How did you beat me here? That's weird. I saw you going the wrong direction. And then somehow - sh

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COLLEGE OF LAKE COUNTYJuly 8, 2013CONFIDENTIALROUGHLY EDITED REALTIME TRANSCRIPTThis transcript was created in real time by a Certified Realtime/CARTProvider. It has been roughly edited. It is not a certified legaltranscript. It is intended for use

Lake County - EGR - 125

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Lake County - EGR - 125

COLLEGE OF LAKE COUNTYJuly 9, 2013CONFIDENTIALROUGHLY EDITED REALTIME TRANSCRIPTThis transcript was created in real time by a Certified Realtime/CARTProvider. It has been roughly edited. It is not a certified legaltranscript. It is intended for use

Lake County - EGR - 125

CALCULUS AND ANALYTICAL GEOMETRY PROFESSOR: Yesterday we had talked about I believe just the beginning of the second derivative test. We really didn't define it or anything and we didn't really do any examples. I want to do one more example, may

Lake County - EGR - 125

COLLEGE OF LAKE COUNTYJuly 10, 2013CONFIDENTIALROUGHLY EDITED REALTIME TRANSCRIPTThis transcript was created in real time by a Certified Realtime/CARTProvider. It has been roughly edited. It is not a certified legaltranscript. It is intended for use

Lake County - EGR - 125

CALCULUS PROFESSOR: We've already talked about a lot of those things. We talked about mins and max's. You know how to do that on the calculator. Are there questions from the homework either from the L' Hospital's stuff or the first and second

Lake County - EGR - 125

MTH 145Mr. AndrewsUnit 3 HW4.5/ 1-53 every other odd, 61, 63, 65, 694.6/ 1-13 odd, 29-39 odd4.7/ 1-31 odd, 33, 37, 39, 41, 45, 53, 59, 61, 65, 774.8/ 1-27 odd, 31, 35, 414.9/ 1-47 odd, 51, 55, 59-63 odd, 67, 69,775.1/ 1-9 odd, 13, 17, 19, 21, 235

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COLLEGE OF LAKE COUNTYJuly 15, 2013CONFIDENTIALROUGHLY EDITED REALTIME TRANSCRIPTThis transcript was created in real time by a Certified Realtime/CARTProvider. It has been roughly edited. It is not a certified legaltranscript. It is intended for use

Lake County - EGR - 125

CHEMISTRY LAB PROFESSOR: I knew this was going to happen. Fist of all, are there any questions on OWL at all? Anything you want me to go over? Nothing? How many of you didn't realize I e-mailed you over the weekend two times that is said we g

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COLLEGE OF LAKE COUNTYJuly 16, 2013CONFIDENTIALROUGHLY EDITED REALTIME TRANSCRIPTThis transcript was created in real time by a Certified Realtime/CARTProvider. It has been roughly edited. It is not a certified legaltranscript. It is intended for use

Lake County - EGR - 125

Calculus All right So are there any questions on the optimization stuff yet? The - I will say this, okay, about in terms of this homework, if you are going to skip anything - I mean, I want you to try them. I'm not telling you you should ju

Lake County - EGR - 125

COLLEGE OF LAKE COUNTYJuly 17, 2013CONFIDENTIALROUGHLY EDITED REALTIME TRANSCRIPTThis transcript was created in real time by a Certified Realtime/CARTProvider. It has been roughly edited. It is not a certified legaltranscript. It is intended for use

Lake County - EGR - 125

COLLEGE OF LAKE COUNTYJuly 18, 2013CONFIDENTIALROUGHLY EDITED REALTIME TRANSCRIPTThis transcript was created in real time by a Certified Realtime/CARTProvider. It has been roughly edited. It is not a certified legaltranscript. It is intended for use

Lake County - EGR - 125

CALCULUS PROFESSOR: If I were asking you the area under the curve and it was negative, really what I'm asking is what's the area of the region that's bounded between the x-axis and the function. So if the x-axis is above the function, then the

Lake County - EGR - 125

COLLEGE OF LAKE COUNTYJuly 22, 2013CONFIDENTIALROUGHLY EDITED REALTIME TRANSCRIPTThis transcript was created in real time by a Certified Realtime/CARTProvider. It has been roughly edited. It is not a certified legaltranscript. It is intended for use

Lake County - EGR - 125

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COLLEGE OF LAKE COUNTYJuly 24, 2013CONFIDENTIALROUGHLY EDITED REALTIME TRANSCRIPTThis transcript was created in real time by a Certified Realtime/CARTProvider. It has been roughly edited. It is not a certified legaltranscript. It is intended for use

Lake County - EGR - 125

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Lake County - EGR - 125

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COLLEGE OF LAKE COUNTYJuly 30, 2013CONFIDENTIALROUGHLY EDITED REALTIME TRANSCRIPTThis transcript was created in real time by a Certified Realtime/CARTProvider. It has been roughly edited. It is not a certified legaltranscript. It is intended for use

Lake County - EGR - 125

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COLLEGE OF LAKE COUNTYJuly 31, 2013CONFIDENTIALROUGHLY EDITED REALTIME TRANSCRIPTThis transcript was created in real time by a Certified Realtime/CARTProvider. It has been roughly edited. It is not a certified legaltranscript. It is intended for use

Lake County - EGR - 125

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Caltech - ACM - 95/100b

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Caltech - ACM - 95/100b

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Caltech - ACM - 95/100b

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Caltech - ACM - 95/100b

Problem Set 6Feb 20, 2004 ACM 95b/100b E. Sterl Phinney Due Feb 27, 2004 3pm at Firestone 303 (2 pts) Include grading section numberUseful Readings: For separation of variables, Sections 8.1 and 8.3 of Arfken, Chapter 14 of Carrier and Pearson, or Boyce

Caltech - ACM - 95/100b

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Caltech - ACM - 95/100b

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Caltech - ACM - 95/100b

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Caltech - ACM - 95/100b

h | h | | | g h h !d dVc!F! (w q FF(5cFUF0dF!( | h | h| f | (C5ca(wW5(x@wU q U!(W5U! q F q "5d5 (wW5(wU h| | | | $!U!(o!7 q Fw q (wW5( fR!F(F( h h h h v s r h s t s g f s f F!U(F5 q W"d q C q wF(dFe!C!U~U j js (CFV!( q h h j j r h j j

Caltech - ACM - 95/100b

1"&Gtc$!pY"th@!bc7tcea!vGt' 9 8#d 9 o 9 8 # # 9 8# 8 f 9 h # # h X 9 s 9 8 d !cu$GSWfY("th@"uGpo !ptscV!cu e|tX$VhD"W% Q # o # Yd cfw_ 1 fcDea A h hfcDea U hfcDea T 7pPfcDete!WG98# F X 9 8# F I 8# o 8# a 8 # o # 9zib@$!v(h 9DtYD@0% !YD"th@!hc7tcb

Caltech - ACM - 95/100b

i@V7(kceVyb7b~VW!e~VD 1 9 8# 9 g iVdYuqx#"X # 8 Y X 8 8 8 X 8 # # # !ba!`9$!(!"bS`S#yxgV BVD`GD!2`b2be" Q H x dl@!b$llDb# g m# '# m m '' % #9 8 9h # UE (@"jSD@`$(@ @V@!5e@`98 G`'" H # eb`!eg # # dw ( dV5e `9bp QEA `9bk A ~p e q x u@$qp u

Caltech - ACM - 95/100b

ACM95b Final Exam 2004Problem 1 (46 points) (a) 6 points (1) 1 point Regular S-L (2) 1 point Not a S-L problem since y(0)=1 makes the operator non-selfadjoint (3) 1 point Singular S-L (4) 1 point Periodic S-L (5) 1 point Regular S-L (6) 1 point Singula

Caltech - ACM - 95/100b

Short Table of Laplace Transforms f (t) 1 t tn 1 t eat tn eat sin(at) cos(at) t sin(at) ^(s) = L[f ](s) f 1 s 1 s2 n! sn+1 s 1 s-a n! (s - a)n+1 s2 a + a2 f (t) af (t) + bg(t) f (t) f (n) (t)t^(s) = L[f ](s) f ^ af (s) + b^(s) g ^ sf (s) - f (0+) ^ sn f

Caltech - ACM - 95/100b

ACM95b/100b Lecture NotesCaltech 2004The Method of FrobeniusConsider the equationx2 y + xp(x)y + q (x)y = 0,(1)where x = 0 is a regular singular point. Then p(x) and q (x) are analytic at the origin and have convergentpower series expansionspk x k

Caltech - ACM - 95/100b

ACM95b/100b Lecture NotesCaltech 2004Laplace TransformLcfw_f (t) F (s) est f (t) dt(1)0Examplesa) f (t) = 1, t 0Lcfw_1 =est dt = limb0b) f (t) =eat ,estsb=01st0Lcfw_eat =est eat dt =e(sa)t dt =001, s>asaExistenceThe Laplac

Caltech - ACM - 95/100b

ACM95b/100b Lecture NotesSterl Phinney Winter 2004 Introduction to Differential Equations Differential Equations (DEs) specify (families of) functions by the relations between their derivatives. Arise in nature as describing where things will be/how much

Caltech - ACM - 95/100b

ACM95/100b Problem Set 1 Solutions 01/12/04Problem 1 (27 points)Solve the following linear initial value problems and in each case describe the interval on which the solution is defined a)b)y ' + 2 x y = -x y H0 L = - 12(1)Solution to Problem 1Not

Caltech - ACM - 95/100b

Problem Set 2 (re-revised 1/19/2004 18:00h)January 16, 2004 ACM 95b/100b E. Sterl Phinney Due January 23, 2004 3pm in Firestone 303 (2 pts) Include grading section number1. (3 5 points) Solve the following linear initial value problems. Sketch the solut

Caltech - ACM - 95/100b

Midterm Exam SolutionsProblem 1 (8+36 Points)(a) (8 points) (i) (2 points) 2 y ' + x y ' + 3 y = 0 x Irregular (Essential) Singular point at x=0. (ii) (2 points) x x2 y = 0 y ' - y ' + Hx - 1L Hx - 2L Hx - 1L Hx - 2L (2) (1)Regular singular points at x

Caltech - ACM - 95/100b

ACM95/100b Problem Set 2 Solutions 01/18/04Problem 1 (37 points)Solve the following linear initial value problems. Sketch the solution and describe the behavior as the independent variable x. a) y ' + 6 y ' + 5 y = 0 y H0L = 3 y ' H0L = - 2 b) y ' + 2 y

Caltech - ACM - 95/100b

Problem Set 3January 23, 2004 ACM 95b/100b E. Sterl Phinney Due January 30, 2004 3pm in Firestone 303 (2 pts) Include grading section number1. (4 5 points) The following (trivial once you get it) problem is designed to help those of you who had trouble

Caltech - ACM - 95/100b

ACM95/100b Problem Set 4 Solutions 01/29/04Problem 1 (10 points)Delay differential equations are important in control theory and population biology. Suppose that y(t)= y0 HtL for -1t0 and subsequently satisfies y HtL (1) + 2 y HtL - 2 y Ht - 1L = 0, t 0