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- Title: tangent2
- Type: Notes
- School: CUNY John Jay
- Course: MAT 141
- Term: Fall
Coursehero >> New York >> CUNY John Jay >> MAT 141
Path: CUNY John Jay >> MAT >> 141 Fall, 2008
Path: CUNY John Jay >> MAT >> 141 Fall, 2008
Path: CUNY John Jay >> MAT >> 141 Fall, 2008
Path: CUNY John Jay >> MAT >> 141 Fall, 2008
Path: CUNY John Jay >> MAT >> 141 Fall, 2008
Path: CUNY John Jay >> MAT >> 141 Fall, 2008
Path: CUNY John Jay >> MAT >> 141 Fall, 2008
Path: CUNY John Jay >> MAT >> 141 Fall, 2008
Path: CUNY John Jay >> MAT >> 141 Fall, 2008
Path: CUNY John Jay >> MAT >> 141 Fall, 2008
Path: CUNY John Jay >> MAT >> 141 Fall, 2008
Path: CUNY John Jay >> MAT >> 141 Fall, 2008
Path: CUNY John Jay >> MAT >> 141 Fall, 2008
Path: CUNY John Jay >> MAT >> 379 Spring, 2008
Path: CUNY John Jay >> MAT >> 379 Spring, 2008
Path: CUNY John Jay >> MAT >> 379 Spring, 2008
Path: CUNY John Jay >> MAT >> 379 Spring, 2008
Path: CUNY John Jay >> MAT >> 379 Spring, 2008
Path: CUNY John Jay >> MAT >> 379 Spring, 2008
Path: CUNY John Jay >> MAT >> 379 Spring, 2008
Path: CUNY John Jay >> MAT >> 379 Spring, 2008
Path: CUNY John Jay >> MAT >> 379 Spring, 2008
Path: CUNY John Jay >> MAT >> 379 Spring, 2008
Path: CUNY John Jay >> MAT >> 379 Spring, 2008
Path: CUNY John Jay >> MAT >> 379 Spring, 2008
Path: CUNY John Jay >> MAT >> 379 Spring, 2008
Path: CUNY John Jay >> MAT >> 379 Spring, 2008
Path: CUNY John Jay >> MAT >> 379 Spring, 2008
Path: CUNY John Jay >> MAT >> 379 Spring, 2008
Path: CUNY John Jay >> MAT >> 379 Spring, 2008
Path: CUNY John Jay >> MAT >> 379 Spring, 2008
Path: CUNY John Jay >> MAT >> 379 Spring, 2008
Path: CUNY John Jay >> MAT >> 379 Spring, 2008
Path: CUNY John Jay >> MAT >> 379 Spring, 2008
Path: CUNY John Jay >> MAT >> 379 Spring, 2008
Path: CUNY John Jay >> MAT >> 379 Spring, 2008
Path: CUNY John Jay >> MAT >> 379 Spring, 2008
Path: CUNY John Jay >> MAT >> 379 Spring, 2008
Path: CUNY John Jay >> MAT >> 379 Spring, 2008
Path: CUNY John Jay >> MAT >> 379 Spring, 2008
Path: CUNY John Jay >> MAT >> 379 Spring, 2008
Path: CUNY John Jay >> MAT >> 379 Spring, 2008
Path: CUNY John Jay >> MAT >> 379 Spring, 2008
Path: CUNY John Jay >> MAT >> 379 Spring, 2008
Path: CUNY John Jay >> MAT >> 379 Spring, 2008
Path: CUNY John Jay >> MAT >> 379 Spring, 2008
Path: CUNY John Jay >> MAT >> 379 Spring, 2008
Path: CUNY John Jay >> MAT >> 379 Spring, 2008
Path: CUNY John Jay >> MAT >> 379 Spring, 2008
Path: CUNY John Jay >> MAT >> 379 Spring, 2008
Path: CUNY John Jay >> MAT >> 379 Spring, 2008
Path: CUNY John Jay >> MAT >> 379 Spring, 2008
Path: CUNY John Jay >> MAT >> 379 Spring, 2008
Path: CUNY John Jay >> MAT >> 379 Spring, 2008
Path: CUNY John Jay >> MAT >> 379 Spring, 2008
Path: CUNY John Jay >> MAT >> 379 Spring, 2008
Path: CUNY John Jay >> MAT >> 379 Spring, 2008
Path: CUNY John Jay >> MAT >> 379 Spring, 2008
Path: CUNY John Jay >> MAT >> 379 Spring, 2008
Path: CUNY John Jay >> MAT >> 379 Spring, 2008
Path: CUNY John Jay >> MAT >> 379 Spring, 2008
Path: CUNY John Jay >> MAT >> 379 Spring, 2008
Path: CUNY John Jay >> MAT >> 379 Spring, 2008
Path: CUNY John Jay >> MAT >> 379 Spring, 2008
Path: CUNY John Jay >> MAT >> 379 Spring, 2008
Path: CUNY John Jay >> MAT >> 379 Spring, 2008
Path: CUNY John Jay >> MAT >> 379 Spring, 2008
Path: CUNY John Jay >> MAT >> 379 Spring, 2008
Path: CUNY John Jay >> MAT >> 379 Spring, 2008
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Section10_4Problems11_13_15.pdf
Path: CUNY John Jay >> MAT >> 141 Fall, 2008
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ForNet2004.pdfPath: CUNY John Jay >> MAT >> 141 Fall, 2008
Description: ForNet: A Distributed Forensics Network Research Experience for Undergraduates, Summer 2004 Daniel Speyer University of Maryland College Park Amos Wetherbee University of Massachusetts Amherst Radion Khait Polytechnic University Brooklyn ABSTRACT ...
p129_41.pdfPath: CUNY John Jay >> MAT >> 141 Fall, 2008
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Problem13_P260.pdfPath: CUNY John Jay >> MAT >> 141 Fall, 2008
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p181_24.pdfPath: CUNY John Jay >> MAT >> 141 Fall, 2008
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ImplicitFunctions.pdfPath: CUNY John Jay >> MAT >> 141 Fall, 2008
Description: 7.5 5.0 2.5 0.0 -7.5 -5.0 -2.5 -2.5 0.0 2.5 5.0 7.5 -5.0 -7.5 5.0 2.5 0.0 -5.0 x -2.5 y -5.0 -2.5 0.0 2.5 5.0 5.0 2.5 0.0 -5.0 x y -5.0 -2.5 -2.5 0.0 2.5 5.0 5.0 2.5 0.0 -5.0 x y -5.0 -2.5 -2.5 0.0 2.5 5.0 5.0 2.5 0.0 -5.0 x y -5.0 -...
mat241S08F19-1.pdfPath: CUNY John Jay >> MAT >> 141 Fall, 2008
Description: ...
InflectionPoints.pdfPath: CUNY John Jay >> MAT >> 141 Fall, 2008
Description: The Chart of f(x) = x*sin(x) on the Interval[-10, 10] 7.5 5.0 2.5 0.0 -5 x -2.5 -5.0 0 5 The Chart of f(x) = sin(x) on the Interval[-10, 10] 1.0 0.5 0.0 -5 x -0.5 0 5 -1.0 The Chart of f(x) = x^2 on the Interval[-10, 10] 100 0 0 x The Chart of...
P337_14.pdfPath: CUNY John Jay >> MAT >> 141 Fall, 2008
Description: ...
HighPerformanceComputingAtJohnJayCollege.pdfPath: CUNY John Jay >> MAT >> 141 Fall, 2008
Description: High Performance Computing for Research at John Jay College* Douglas E. Salane dsalane@jjay.cuny.edu John Jay College of Criminal Justice Mathematics Department November 10, 2003 A version of this article, edited by NASA Peer Review Services, appea...
implicitdiff.pdfPath: CUNY John Jay >> MAT >> 141 Fall, 2008
Description: Page 214, no. 32 Tschirnhausen cubic and tangent equation at (1,-2) 9 1 with plots, implicitplot ; implicitplot y =K $x C , y2 = x3 C3$x2 , x =K .5, y =K .5, numpoints 5 5 4 4 = 3000 ; implicitplot 4 y 2 K 2 x K 1 0 1 2 K 2 K 4 Page 213, no...
Problem15_p103.pdfPath: CUNY John Jay >> MAT >> 141 Fall, 2008
Description: 0 0 1 1 2 3 ...
ProblemsP751D.pdfPath: CUNY John Jay >> MAT >> 141 Fall, 2008
Description: ...
SqueezeTheorem.pdfPath: CUNY John Jay >> MAT >> 141 Fall, 2008
Description: Here\'s a big hint for the squeeze theorem problem, which is no. 33, p. 107. f d x/K 2; x x/K 2 x g d x/x cos 20$x ; x/x2 cos 20 x h d x/x2; x/x2 plot f, g, h ,K .2 ; 2 (3) (2) 2 (1) 4 3 2 1 K 2 K 1 K 1 K 2 K 3 K 4 f(x) 0 1 2 g(x) h(x) ...
ImplicitFunctions2.pdfPath: CUNY John Jay >> MAT >> 379 Spring, 2008
Description: 7.5 5.0 2.5 0.0 -7.5 -5.0 -2.5 -2.5 0.0 2.5 5.0 7.5 -5.0 -7.5 5.0 2.5 0.0 -5.0 x -2.5 y -5.0 -2.5 0.0 2.5 5.0 5.0 2.5 0.0 -5.0 x y -5.0 -2.5 -2.5 0.0 2.5 5.0 5.0 2.5 0.0 -5.0 x y -5.0 -2.5 -2.5 0.0 2.5 5.0 5.0 2.5 0.0 -5.0 x y -5.0 -...
EquationsProblem21P660.pdfPath: CUNY John Jay >> MAT >> 379 Spring, 2008
Description: ? The system of equation is 2x - 3y - 9z = -5 x +3z = 2 -3x + y - 4z = -3 We first write the coefficients of the system in a matrix. This is called the augmented matrix for the system. We have to give it a name (we choose B) so we can apply row opera...
mat141lab1.pdfPath: CUNY John Jay >> MAT >> 379 Spring, 2008
Description: 2 1 0 -5.0 -2.5 x y -1 0.0 2.5 5.0 -2 2 1 0 -5.0 -2.5 x y -1 0.0 2.5 5.0 -2 2 1 0 -5.0 -2.5 x y -1 0.0 2.5 5.0 -2 2 1 0 -5.0 -2.5 x y -1 0.0 2.5 5.0 -2 3 2 1 0 -5 x y -2 -1 0 5 -3 2 1 0 -5.0 -2.5 x y -1 0.0 2.5 5.0 -2 3 2 1...
USENIXTechnicalConference2004.pdfPath: CUNY John Jay >> MAT >> 379 Spring, 2008
Description: Cluster Computing in a Computer Major in a College of Criminal Justice* Douglas E. Salane dsalane@jjay.cuny.edu and Boris Bondarenko websitedeveloper@aol.com John Jay College of Criminal Justice Mathematics Department December 23, 2003 Extended Ab...
Quiz2.pdfPath: CUNY John Jay >> MAT >> 379 Spring, 2008
Description: Name: _ 1 Find the reference number for t = Class: Date: _ 16 . 3 d. a. 4 b. 4 3 c. 3 3 2 Use the figure to find the terminal point determined by the real number t = 4, with coordinates correct to one decimal place. a. (0.8, 0.7) b. ( ...
p142_58.pdfPath: CUNY John Jay >> MAT >> 379 Spring, 2008
Description: ...
mat241S08ExamII.pdfPath: CUNY John Jay >> MAT >> 379 Spring, 2008
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Problem13_p260Easy.pdfPath: CUNY John Jay >> MAT >> 379 Spring, 2008
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mat241S08s3-4Mar29.pdfPath: CUNY John Jay >> MAT >> 379 Spring, 2008
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mat241S08s4-7M04.pdfPath: CUNY John Jay >> MAT >> 379 Spring, 2008
Description: ...
p117_8.pdfPath: CUNY John Jay >> MAT >> 379 Spring, 2008
Description: Page 117, problem 8 For the limit lim ex K1 x = 1, x/0 illustrate the limit definition by finding a value of that corresponds to e = .5. ex K1 x or .5 ! ex K1 x < 1.5 K1 ! .5 Let\'s look at a graph of the function and the lower and upper bounds, ....
P337_25.pdfPath: CUNY John Jay >> MAT >> 379 Spring, 2008
Description: ...
p129_50.pdfPath: CUNY John Jay >> MAT >> 379 Spring, 2008
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FinalReport_ComputerClustersforCurricularImprovments.pdfPath: CUNY John Jay >> MAT >> 379 Spring, 2008
Description: A hardcopy of the Final Report: Computer Clusters to Support Curricular Improvements in Networking and Parallel/Distributed Computing is available from the author at dsalane@jjay.cuny.edu. Please provide your name, institution, mailing address and e-...
p118_13_15.pdfPath: CUNY John Jay >> MAT >> 379 Spring, 2008
Description: ...
NASA_CIPA_ClusterComputingProject.pdfPath: CUNY John Jay >> MAT >> 379 Spring, 2008
Description: The NASA CIPA Cluster Computing Project* Douglas E. Salane Mathematics Department John Jay College of Criminal Justice The City University of New York With the help of a three-year NASA Curriculum Improvement Partnership Award (CIPA), computer majors...
HomeWork1.pdfPath: CUNY John Jay >> MAT >> 379 Spring, 2008
Description: ...
mat241S08s3-5Mar20a.pdfPath: CUNY John Jay >> MAT >> 379 Spring, 2008
Description: The following is a plot of the folium of Descartes. See p.208 example 2. Also plotted is the tangent line at (3,3). with plots, implicitplot ; implicitplot implicitplot x3 Cy3 = 6$x$y, y =K C 6 , x =K .10, y =K .10, numpoints = 10000 ; x 10 10 (1) ...
mat241S08s3-3Mar20b.pdfPath: CUNY John Jay >> MAT >> 379 Spring, 2008
Description: ...
LoginMagazineOct2004.pdfPath: CUNY John Jay >> MAT >> 379 Spring, 2008
Description: tem. A single machine can be booted from Quantian media and then other machines can networkboot via the PXE protocol and form a single Mosix cluster. Quantian extends clusterKnoppix with a large number of scientic computing applications. In particula...
p130_59_60.pdfPath: CUNY John Jay >> MAT >> 379 Spring, 2008
Description: ...
EquationsProblem13P659.pdfPath: CUNY John Jay >> MAT >> 379 Spring, 2008
Description: Problem 13, p. 659 x + 2y - z = -2 x+ z= 0 2x - y - z = -3 Let\'s write the agumented matrix for the system. > with (LinearAlgebra): A := <1,1,2>|<2,0,-1>|<-1,1,-1>|<-2,0,-3>; 1 2 -1 -2 A := 1 0 1 0 -1 -1 -3 2 Now we reduce the matrix A to ro...
TaylorSeriesF08.pdfPath: CUNY John Jay >> MAT >> 379 Spring, 2008
Description: Mat 241-04 and 05, Prof. Salane, November 13, 2008 The use of Maple to Compute Taylor Series Approximations to Functions The following shows the use of the Maple function taylor to compute a Taylor series expansion for the cosine function. The expans...
p150_9.pdfPath: CUNY John Jay >> MAT >> 379 Spring, 2008
Description: ...
p150_5.pdfPath: CUNY John Jay >> MAT >> 379 Spring, 2008
Description: ...
P340_56.pdfPath: CUNY John Jay >> MAT >> 379 Spring, 2008
Description: ...
P337_27.pdfPath: CUNY John Jay >> MAT >> 379 Spring, 2008
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p128_5_15_16.pdfPath: CUNY John Jay >> MAT >> 379 Spring, 2008
Description: ...
LargeNumberLibrary.pdfPath: CUNY John Jay >> MAT >> 379 Spring, 2008
Description: Cluster Computing for Large-Scale Computational Problems Components n Gigabit Ethernet Message Passing Interface Distributed Memory computers n n Boris Bondarenko Hardware Architectures n Possible solutions n 32-Bit architecture 2 32 Expand ...
mat241S08s4-9.pdfPath: CUNY John Jay >> MAT >> 379 Spring, 2008
Description: ...
Section10_4Problems_1_3_5_7_9.pdfPath: CUNY John Jay >> MAT >> 379 Spring, 2008
Description: ...
ProblemsP741D.pdfPath: CUNY John Jay >> MAT >> 379 Spring, 2008
Description: ...
MAT141FinalAnswersSpr06.pdfPath: CUNY John Jay >> MAT >> 379 Spring, 2008
Description: ...
NasaResSummit.pdfPath: CUNY John Jay >> MAT >> 379 Spring, 2008
Description: NASA CIPA Cluster Computing Project Douglas E. Salane Mathematics Dept. John Jay College of Criminal Justice The City University of New York Project Title Computer Clusters to Support Curricular Improvements in Computer Networking and Parallel/Dist...
mat241S08s3-10A10.pdfPath: CUNY John Jay >> MAT >> 379 Spring, 2008
Description: ...
BinomialTheorem.pdfPath: CUNY John Jay >> MAT >> 379 Spring, 2008
Description: 10 5 -1.0 -1.0 -0.5 0 0.0 0.0 -0.5 0.5 1.0 -5 0.5 1.0 -10 ...
mat241S08s4-7p58.pdfPath: CUNY John Jay >> MAT >> 379 Spring, 2008
Description: P. 331, Problem 58. Let p be the price of a rental unit. Let R be the revenue. Revenue = price of rental X no. of units rented. R d p/ p$ 100 K p K800 10 ; p/p 180 K 1 p 10 (1) To find p that yields the maximum revenue take the derivative of R, set ...
mat241S08M11s5.1.pdfPath: CUNY John Jay >> MAT >> 379 Spring, 2008
Description: Example 3 in section 5.1 shows the use of Riemann Sums to computer the area x under the curve defined by eK on [0,2]. In this example we use the Maple add function to compute the upper Riemann sums. We will evaluate the sums for partition sizes of 10...
p130_55_part2.pdfPath: CUNY John Jay >> MAT >> 379 Spring, 2008
Description: ...
MAT141SampleQuiz1.pdfPath: CUNY John Jay >> MAT >> 379 Spring, 2008
Description: Name: _ 1 Evaluate the function f (x ) = a. f (3) = 2 b. f (3) = 1 Class: Date: _ 1 x at f (3 ) 1+x c. f (3) = 0.5 2 Find the domain of the following function: f (x ) = a. ( x 2 , 2) (2, 3) (3, ) b. [0, 2) x (2, 3) 5x + 6 (3, ) c. (2, 3...
InflectionPoints2.pdfPath: CUNY John Jay >> MAT >> 379 Spring, 2008
Description: From Stewart Calculus 6e Problem 77, p. 298 f d x/ x K2 $ x C2 $ x K3 ; x/ x K2 x C2 x K3 collect x K2 x C2 x K3 , x ; 3 2 12 Cx K3 x K4 x Inflection point from formula for a quadratic with three real roots. 2 C K C3 2 3 1 Inflection point from formu...
mat241_Test2_SPR_06.pdfPath: CUNY John Jay >> MAT >> 379 Spring, 2008
Description: Name: _ 1 Differentiate the function. Class: Date: _ g ( x ) = 2x 2 8 3x 5 +8 Differentiate the function. S (r ) = 2 r h 3 Differentiate the function. G (x ) = a. G \' x 5e x 2 1 x x (x ) = 4e x b. G \' (x ) = 1 2x 1 2x 6e x 1 c...
Section10_4Problems11_13_15.pdfPath: CUNY John Jay >> MAT >> 379 Spring, 2008
Description: ...
ForNet2004.pdfPath: CUNY John Jay >> MAT >> 379 Spring, 2008
Description: ForNet: A Distributed Forensics Network Research Experience for Undergraduates, Summer 2004 Daniel Speyer University of Maryland College Park Amos Wetherbee University of Massachusetts Amherst Radion Khait Polytechnic University Brooklyn ABSTRACT ...
mat241S08s2-2F14.pdfPath: CUNY John Jay >> MAT >> 379 Spring, 2008
Description: Feb. 14, 2008 P. 98, 21 f d x/ x C4 .5 K2 ; x x/ Find the limit of f as x->0. f .1 ; 0.2484567300 f .01 ; 0.2498439000 f .001 ; 0.2499840000 f .0001 ; 0.2500000000 f .00001 ; 0.2500000000 plot f,K .1 ; 1 (6) (5) (4) (3) (2) x C4 x 0.5 K2 (1) 0.265...
p181_24.pdfPath: CUNY John Jay >> MAT >> 379 Spring, 2008
Description: ...
ImplicitFunctions.pdfPath: CUNY John Jay >> MAT >> 379 Spring, 2008
Description: 7.5 5.0 2.5 0.0 -7.5 -5.0 -2.5 -2.5 0.0 2.5 5.0 7.5 -5.0 -7.5 5.0 2.5 0.0 -5.0 x -2.5 y -5.0 -2.5 0.0 2.5 5.0 5.0 2.5 0.0 -5.0 x y -5.0 -2.5 -2.5 0.0 2.5 5.0 5.0 2.5 0.0 -5.0 x y -5.0 -2.5 -2.5 0.0 2.5 5.0 5.0 2.5 0.0 -5.0 x y -5.0 -...
mat241S08F19-1.pdfPath: CUNY John Jay >> MAT >> 379 Spring, 2008
Description: ...
NewtonsMethod1.pdfPath: CUNY John Jay >> MAT >> 379 Spring, 2008
Description: with Student Calculus1 : NewtonsMethodTutor ; NewtonsMethod cos x , x = 1, output = sequence ; 1, 1.642092616, 1.570675277, 1.570796327, 1.570796327, 1.570796327 , 10 ; evalf 2 1.570796327 NewtonsMethod ln x , x = 2, output = sequence ; 2, 0.6137056...
p117_11.pdfPath: CUNY John Jay >> MAT >> 379 Spring, 2008
Description: ...
p337_20.pdfPath: CUNY John Jay >> MAT >> 379 Spring, 2008
Description: ...
InflectionPoints.pdfPath: CUNY John Jay >> MAT >> 379 Spring, 2008
Description: The Chart of f(x) = x*sin(x) on the Interval[-10, 10] 7.5 5.0 2.5 0.0 -5 x -2.5 -5.0 0 5 The Chart of f(x) = sin(x) on the Interval[-10, 10] 1.0 0.5 0.0 -5 x -0.5 0 5 -1.0 The Chart of f(x) = x^2 on the Interval[-10, 10] 100 0 0 x The Chart of...
P337_14.pdfPath: CUNY John Jay >> MAT >> 379 Spring, 2008
Description: ...
mat241S08s2-3F19-1.pdfPath: CUNY John Jay >> MAT >> 379 Spring, 2008
Description: ...
implicitdiff.pdfPath: CUNY John Jay >> MAT >> 379 Spring, 2008
Description: Page 214, no. 32 Tschirnhausen cubic and tangent equation at (1,-2) 9 1 with plots, implicitplot ; implicitplot y =K $x C , y2 = x3 C3$x2 , x =K .5, y =K .5, numpoints 5 5 4 4 = 3000 ; implicitplot 4 y 2 K 2 x K 1 0 1 2 K 2 K 4 Page 213, no...
Problem15_p103.pdfPath: CUNY John Jay >> MAT >> 379 Spring, 2008
Description: 0 0 1 1 2 3 ...