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I don't even know where to start... I've always enjoyed Algebra/Calculus. I wish I could say the same about problems. Since we have a right triangle you did well to think of the Pythagorean theorem. Now, if we label the horizontal leg of the triangle $x$, we know the vertical leg is fixed at 50 ft., and let's label th...
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Magnetic Forces Investigation of Bulk HTS over Permanent Magnetic Guideway under Different Lateral Offset with 3D-Model Numerical Method Advances in Materials Science and Engineering Volume 2012 (2012), Article ID 640497, 6 pages http://dx.doi.org/10.1155/2012/640497 Research Article Magnetic Forces Investigation of ...
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gl(3) commutation relations question September 8th 2011, 06:18 AM wik_chick88 gl(3) commutation relations question consider the polynomial algebra $C[x_1, x_2, x_3]$ with $x_1, x_2, x_3$ 3 independent real variables show that the differential operators $a_{ij} = x_{i}\frac{\partial}{\partial x_{j}}$ ...
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Proposition 113 The square on a rational straight line, if applied to an apotome, produces as breadth the binomial straight line the terms of which are commensurable with the terms of the apotome and in the same ratio; and further the binomial so arising has the same order as the apotome. Let A be a rational straight...
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Structural Transitions in Sheared Electrically Stabilized Colloidal Crystals Journal of Applied Chemistry Volume 2013 (2013), Article ID 909841, 7 pages http://dx.doi.org/10.1155/2013/909841 Research Article Structural Transitions in Sheared Electrically Stabilized Colloidal Crystals ^1Technische Universität Berlin,...
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Multiple Solutions for a Class of Fractional Boundary Value Problems Abstract and Applied Analysis Volume 2012 (2012), Article ID 468980, 16 pages http://dx.doi.org/10.1155/2012/468980 Research Article Multiple Solutions for a Class of Fractional Boundary Value Problems Department of Mathematics, Harbin Engineering ...
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Squeeze Theorem How would I use the squeeze theorem to evaluate for: $lim_{n\to\infty}\{\frac{1}{\sqrt{n^2+1}} + \frac{1}{\sqrt{n^2+2}} + ... + \frac{1}{\sqrt{n^2 + n}} \}$ $\frac{n}<br /> {{\sqrt {n^2 + n} }} \leqslant \sum\limits_{k = 1}^n {\frac{1}<br /> {{\sqrt {n^2 + k} }}} \leqslant \frac{n}<br /> {{\sqrt {n^2 +...
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please help with limits of indeterminate forms March 19th 2009, 06:40 PM nosh please help with limits of indeterminate forms Im horrible at this :( sorry about it being bold .. it wont unbold How do you evaluate the following limits 1) lim x----> 3 [ ( l x-3 l ) / ( x-3 ) ] 2) lim x --->4/8 [ ( 3x^...
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equation soluble October 20th 2013, 01:47 PM Sonifa equation soluble p is an odd prime (a) show that x^2+y^2+1=0 (mod p) is soluble (b) show that x^2+y^2+1=0 (mod p) is soluble for any squarefree odd m For (a) hint given : count the integers in {0,1,2,...,p-1} of the form x^2 modulo p and ...
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A man walks then runs... June 20th 2009, 04:49 AM Stroodle A man walks then runs... A man walks at a speed of 2 km/h for 45 minutes and then runs at 4 km/h for 30 minutes. Let $S$ km be the distance the man has run after $t$ minutes. The distance travelled can be described by: $S(t)=\left\{\begin{array}{ll}...
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Useful Solutions for Plane Wave Diffraction by Dielectric Slabs and Wedges International Journal of Antennas and Propagation Volume 2012 (2012), Article ID 151287, 7 pages http://dx.doi.org/10.1155/2012/151287 Review Article Useful Solutions for Plane Wave Diffraction by Dielectric Slabs and Wedges D.I.E.I.I., Unive...
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On Growth of Meromorphic Solutions of Complex Functional Difference Equations Abstract and Applied Analysis Volume 2014 (2014), Article ID 828746, 6 pages http://dx.doi.org/10.1155/2014/828746 Research Article On Growth of Meromorphic Solutions of Complex Functional Difference Equations ^1Department of Mathematics, ...
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Stability Analysis of a Repairable System with Warning Device and Repairman Vacation Journal of Function Spaces and Applications Volume 2013 (2013), Article ID 674191, 19 pages http://dx.doi.org/10.1155/2013/674191 Research Article Stability Analysis of a Repairable System with Warning Device and Repairman Vacation ...
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Asymptotic Dichotomy in a Class of Odd-Order Nonlinear Differential Equations with Impulses Journal of Industrial Mathematics Volume 2013 (2013), Article ID 421231, 9 pages http://dx.doi.org/10.1155/2013/421231 Research Article Asymptotic Dichotomy in a Class of Odd-Order Nonlinear Differential Equations with Impulse...
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Social Diffusion (Integration) September 18th 2012, 08:32 AM #1 Junior Member Joined Aug 2012 From Texas Posts 48 Social Diffusion (Integration) In a sufficiently large population the number x who have the information is treated as a differentiable function of time t The rate of diffusion, dx/dt, is ...
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Orthogonal projection and linear transformation June 12th 2011, 04:08 AM #1 Newbie Joined Apr 2011 Posts 7 Orthogonal projection and linear transformation Let T : R^3 -> R^3 be orthogonal projection onto the plane x + y + z = 0. a) Show that the closest point to (1,0,0) on the plane x + y + z = - is ...
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Homework Help Posted by Becca on Monday, April 8, 2013 at 10:38pm. Two questions I need help with. Find the indicated partial sum using the information given. 1. a3=4/9, a7=9/64, S6 Determine wheater the infinite geometric series has a finite sum 2. 6+ 3+ 3/2 + 3/4 +.... 3. -49 + (-7) + (- 1/7) +... • Algebra ...
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Numerical Characterization of DNA Sequence Based on Dinucleotides The Scientific World Journal Volume 2012 (2012), Article ID 104269, 6 pages http://dx.doi.org/10.1100/2012/104269 Research Article Numerical Characterization of DNA Sequence Based on Dinucleotides ^1School of Mathematics and Statistics, Shandong Unive...
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Homework Help Posted by irma on Sunday, May 12, 2013 at 1:38am. a square sheet of tin 30cm on a side is to be used to make an open - top box by cutting a small square of tin from each corner and bending up the sides. how large should be the square cut from each corner to make the box's volume as large as possible •...
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Partial Fraction Decomposition March 14th 2013, 03:23 PM Steelers72 Partial Fraction Decomposition All I need to do is write the form of the partial function (I don't have to find the numerical values) of this: x^2/(x^2-2x-2) partial fraction decomposition I know the rule of quadratic factor is Ax+B/ax...
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Help with lagrange problem April 29th 2009, 10:53 AM #1 Member Joined Dec 2008 Posts 228 Help with lagrange problem The third degree Taylor polynomial of f around x=2 is... T(x) = 7 - 9(x-2)^2 - 3(x-2)^3 The fourth derivative satisfies the inequality [abs(f''''(x))] <_ 6 for all x in the close...
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arithmetic progression October 17th 2008, 08:55 AM #1 I need help solving this word problem.. Q1 )There was a need for one table at the catering company's first event. Two table were needed for the second event, three table the third event and so on. one table seats 10 and two table seats 18. If the table...
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Variance of a branching process August 11th 2011, 06:46 AM #1 Member Joined Aug 2010 Posts 77 Variance of a branching process Let $N_j$ be the size of the jth generation of a branching process with $N_0 = 1$. Suppose the number of offspring produced by an individual has mean $\mu$ and variance ${\sigma}^...
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Estimation Risk Modeling in Optimal Portfolio Selection: An Empirical Study from Emerging Markets Economics Research International Volume 2010 (2010), Article ID 340181, 10 pages http://dx.doi.org/10.1155/2010/340181 Research Article Estimation Risk Modeling in Optimal Portfolio Selection: An Empirical Study from Eme...
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Differentiating a rational function June 3rd 2007, 11:49 PM #1 Junior Member Joined Jun 2007 Posts 62 Differentiating a rational function Hello Excuse me if I make any improper use of mathematical experssions because English isn't my mother-tongue and I don't study math in English. I'm a high s...
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Exponential Stability of Impulsive Stochastic Functional Differential Systems with Delayed Impulses Abstract and Applied Analysis Volume 2013 (2013), Article ID 548712, 8 pages http://dx.doi.org/10.1155/2013/548712 Research Article Exponential Stability of Impulsive Stochastic Functional Differential Systems with Del...
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A driver..... July 31st 2006, 04:31 PM Celia A driver..... A driver releases an air bubble of volume 2.0 cm3 from a depth of 15 m below the surface of a lake, where the temperature is 7.0oC. What is the volume of the bubble when it reaches just below the surface of the lake, where the temperature is 20oC? J...
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Solutions of Unified Fractional Schrödinger Equations ISRN Mathematical Physics Volume 2012 (2012), Article ID 935365, 7 pages http://dx.doi.org/10.5402/2012/935365 Research Article Solutions of Unified Fractional Schrödinger Equations ^1Department of Mathematics, University of Rajasthan, Jaipur 302055, Rajasthan, I...
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How to Find the Perimeter of a Trapezoid With a Missing Side | The Classroom | Synonym A trapezoid is a quadrilateral with two parallel sides. In geometry, you may be asked to find a missing side of a trapezoid, given the area and height. For example: a trapezoid has an area of 171 cm^ 2, a side of 10 cm and a height o...
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Construction and Composition of Rooted Trees via Descent Functions Algebra Volume 2013 (2013), Article ID 543913, 11 pages http://dx.doi.org/10.1155/2013/543913 Research Article Construction and Composition of Rooted Trees via Descent Functions ^1Dipartimento di Ingegneria Meccanica e Aerospaziale, Politecnico di To...
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Propagation of Measurement-While-Drilling Mud Pulse during High Temperature Deep Well Drilling Operations Mathematical Problems in Engineering Volume 2013 (2013), Article ID 243670, 12 pages http://dx.doi.org/10.1155/2013/243670 Research Article Propagation of Measurement-While-Drilling Mud Pulse during High Temperat...
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The rows of this unitary matrix form an orthonormal set but the columns don't. Why? September 8th 2013, 02:54 PM #1 Super Member Joined Nov 2008 Posts 597 The rows of this unitary matrix form an orthonormal set but the columns don't. Why? The rows of this ( {{1/3 - 2/3i,2/3i},{-2/3i,-1/3-2/3i}} - Wolfram...
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Tangent plane to a surface July 3rd 2012, 01:48 PM #1 Newbie Joined Jul 2012 From Ames Posts 2 Tangent plane to a surface Hello all, I am studying for a calc three test and came across a problem I got stuck on the problem is as follows. given the function g(x,y,z)= x^2 ln y+y z find an equat...
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Connected Unit Disk April 25th 2010, 11:38 PM #1 Connected Unit Disk This is a fun problem: Challenge: Prove in as many, and as indirect, ways that the unit disk $\mathbb{D}$ with the usual topology is connected and/or path connected (they are equivalent, but show either one). Note: While any and all s...
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A level maths questions on inequalities and simultaneous equations February 21st 2009, 02:11 AM Turple A level maths questions on inequalities and simultaneous equations I have mock exams next week and have been trying to revise inequalities and sim eqs but I am finding any questions using a constant, k and the ...
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Complex integration of cos^2 z, please help? April 1st 2013, 02:58 AM #1 Junior Member Joined Jan 2013 From Wah Cantt Posts 33 Complex integration of cos^2 z, please help? Integral of (cos^2 z) from ( - pi ) iota along |z|= pi to (pi) iota in the right half plane STATE IF THE FUNCTION IS ANALYTIC...
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Fractions and Division July 7th 2011, 10:42 AM #1 Newbie Joined Apr 2011 Posts 14 Fractions and Division I seem to be having trouble with the following types of problems. $\dfrac{3y^8}{9y^1^2}$ and $\dfrac{6y^7}{10y^2}$ After a bit of thinking I realized that on the first problem, th...
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Finding equation of a Tangent Line June 2nd 2009, 02:36 PM #1 Newbie Joined May 2009 Posts 14 Finding equation of a Tangent Line Find an equation of the line that is tangent to the graph of f and parallel to the given line. Function: f(x) = 2x^2 Line: 4x – y + 4 = 0 Tell me what I'm doing ...
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Parallel and Perpendicular Lines « Lines Polar Coordinates » Analytic Geometry: (lesson 3 of 4) Parallel and Perpendicular Lines Given two lines If Example 1: y = 3x + 14 is parallel to y = 3x - 72 If two lines are not parallel, there exist a point of intersection. This point can be found by solving the two equ...
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Math Help Mmm. Integration by parts: $u=\sqrt{x-3}\implies du=\frac1{2\sqrt{x-3}}\,dx$ & $dv=x^{-2}\,dx\implies v=-\frac1x.$ The integral becomes to $\int {\frac{{\sqrt {x - 3} }}<br /> {{x^2 }}\,dx} = - \frac {{\sqrt {x - 3} }}<br /> {x} + \frac{1}<br /> {2}\underbrace {\int {\frac{1}<br /> {{x\sqrt {x - 3} }}\,dx} }...
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Multidimensional Costas Arrays and Their Enumeration Using GPUs and FPGAs International Journal of Reconfigurable Computing Volume 2012 (2012), Article ID 196761, 9 pages http://dx.doi.org/10.1155/2012/196761 Research Article Multidimensional Costas Arrays and Their Enumeration Using GPUs and FPGAs Department of Com...
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Bound States in Delta Function Potentials Journal of Atomic, Molecular, and Optical Physics Volume 2011 (2011), Article ID 573179, 4 pages http://dx.doi.org/10.1155/2011/573179 Research Article Bound States in Delta Function Potentials Department of Physics, University of Colorado, Boulder, CO 80309, USA Received 2...
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points of tangency (plz help) August 23rd 2009, 10:30 AM #1 Junior Member Joined Aug 2009 From America Posts 29 points of tangency (plz help) 1.)for the circle x^2+y^2+6x-4y+3=0 find the equation of the tangent line at (-2,5) 2.)a circle is tangent to the y-axis at y=3 and has one x-intercep...
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Proof/derivation of the trapezium rule error estimate November 16th 2012, 07:17 AM MattBurrows Proof/derivation of the trapezium rule error estimate Hi, I'm trying to derive the error estimate in the trapezium rule but can't find any derivations on the internet and don't understand my lecturers notes after one p...
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friction question February 9th 2010, 02:58 PM #1 Newbie Joined Feb 2010 Posts 4 friction question 1. a block with mass m slides on a horizontal surface. the block is intially at x=0 with velocity v0. the frictional force that the block experience is proportional to v^(3/2) such that F(v)=-k...
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Implicit Relaxed and Hybrid Methods with Regularization for Minimization Problems and Asymptotically Strict Pseudocontractive Mappings in the Intermediate Sense Abstract and Applied Analysis Volume 2013 (2013), Article ID 854297, 14 pages http://dx.doi.org/10.1155/2013/854297 Research Article Implicit Relaxed and Hyb...
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Interior Point Method for Solving Fuzzy Number Linear Programming Problems Using Linear Ranking Function Journal of Applied Mathematics Volume 2013 (2013), Article ID 795098, 9 pages http://dx.doi.org/10.1155/2013/795098 Research Article Interior Point Method for Solving Fuzzy Number Linear Programming Problems Using...
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A Weak Comparison Principle for Reaction-Diffusion Systems Journal of Function Spaces and Applications Volume 2012 (2012), Article ID 679465, 30 pages http://dx.doi.org/10.1155/2012/679465 Research Article A Weak Comparison Principle for Reaction-Diffusion Systems Centro de Investigación Operativa, Universidad Migue...
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the encyclopedic entry of unrefinement TITAN2D is a geoflow simulation software application, intended for geological researchers. It is distributed as free software. Overview TITAN2D is a free software application developed by the Geophysical Mass Flow Group at the State University of New York (SUNY) at Buffalo TI...
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Exponential Growth and Decay June 4th 2010, 01:01 PM Hockey_Guy14 Exponential Growth and Decay a) If a boat slows according to an exponential function, and its initial speed was 40km/h, what does the formula need to be if the boat is only going 10km/h and it has been 10 minutes since letting off the gas? Def...
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Subset of A countable Set is countable October 29th 2008, 05:39 PM #1 Senior Member Joined Apr 2008 From Vermont Posts 318 Subset of A countable Set is countable I am trying to prove that any subset of a countable set is countable. I'm working with the with S being countably infinite right now. ...
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Using the method of u-substitution July 24th 2010, 05:41 PM jpratt Using the method of u-substitution Using the method of u-substitution, http://lrc.alasu.edu/webwork2_files/...1731c85f81.png where u = 3x-7 (enter a function of x) du = 3 dx (enter a function of x) a = 2 (enter a number) ...
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Solve solution set geometrically December 12th 2010, 05:57 AM JohnJames Solve solution set geometrically x1 - x2 - x3 = 7 x1 - x2 - 2x3 = 2 I know how to solve the problem, but I don't know how to show it geometrically so here is the answer: $\left(\begin{array}{cc}x1\\x2\\x3\end{array}\right )$ = ...
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New Jacobi Elliptic Function Solutions for the Zakharov Equations Journal of Applied Mathematics Volume 2012 (2012), Article ID 854619, 16 pages http://dx.doi.org/10.1155/2012/854619 Research Article New Jacobi Elliptic Function Solutions for the Zakharov Equations Department of Mathematics, Honghe University, Mengz...
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Life-Cycle Management Strategy on Steel Girders in Bridges Advances in Civil Engineering Volume 2012 (2012), Article ID 643543, 14 pages http://dx.doi.org/10.1155/2012/643543 Research Article Life-Cycle Management Strategy on Steel Girders in Bridges ^1Faculty of Science and Technology, The Technological and Higher ...
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On the Deficiencies of Some Differential-Difference Polynomials Abstract and Applied Analysis Volume 2014 (2014), Article ID 378151, 12 pages http://dx.doi.org/10.1155/2014/378151 Research Article On the Deficiencies of Some Differential-Difference Polynomials ^1Institute of Mathematics and Information Science, Jian...
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Combine the equation into a single logarithm December 10th 2010, 09:39 PM SilvaNoctix Combine the equation into a single logarithm 1/4log˅br + 2log˅bs -2/3log˅bt i multipled the first two terms and divided the last one from the to get an answer of log˅b r^1/4s^2/t^2 is this the correct approach and ans...
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Frechet Derivative April 18th 2009, 01:47 PM #1 Member Joined Nov 2008 Posts 121 Frechet Derivative $f:\Re^2\longrightarrow\Re, \;\; f[x,y]^T=x^2y\;\;$ Prove from $\lim_{\vec{h}\rightarrow 0}<br /> \;=\;\frac{f(\vec{a} + \vec{h})-f(\vec{a})-L(\vec{h})}{|\vec{h}|}=0$ that f is differentiable at a ...
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System of linear equations with parameters September 16th 2012, 08:50 AM Piuzza12 System of linear equations with parameters Hi, I am wondering if anyone could help me with this system or linear equations with parameter k. I've tried using reduced row echelon form, but I'm not sure about my answer. This is ...
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99 questions/Solutions/39 From HaskellWiki < 99 questions | Solutions (Difference between revisions) ("union" removed, appears on Q.31) (better 4th version) ← Older edit ...
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Analysis of Rattleback Chaotic Oscillations The Scientific World Journal Volume 2014 (2014), Article ID 569386, 15 pages http://dx.doi.org/10.1155/2014/569386 Research Article Analysis of Rattleback Chaotic Oscillations ^1Department of Electronics, Computers, Telecommunications and Control, Faculty of Physics, Natio...
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Data and Pilot Combining for Composite GNSS Signal Acquisition International Journal of Navigation and Observation Volume 2008 (2008), Article ID 738183, 12 pages http://dx.doi.org/10.1155/2008/738183 Research Article Data and Pilot Combining for Composite GNSS Signal Acquisition Dipartimento di Elettronica, Politec...
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Robust Adaptive Tracking Control of a Class of Robot Manipulators with Model Uncertainties Modelling and Simulation in Engineering Volume 2012 (2012), Article ID 271705, 7 pages http://dx.doi.org/10.1155/2012/271705 Research Article Robust Adaptive Tracking Control of a Class of Robot Manipulators with Model Uncertai...
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Solving Fuzzy Fractional Differential Equations Using Zadeh's Extension Principle The Scientific World Journal Volume 2013 (2013), Article ID 454969, 11 pages http://dx.doi.org/10.1155/2013/454969 Research Article Solving Fuzzy Fractional Differential Equations Using Zadeh's Extension Principle ^1Institute of Engine...
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Quotients of Univariate Polynomial Rings Bases: sage.rings.ring.CommutativeRing Quotient of a univariate polynomial ring by an ideal. EXAMPLES: sage: R.<x> = PolynomialRing(Integers(8)); R Univariate Polynomial Ring in x over Ring of integers modulo 8 sage: S.<xbar> = R.quotient(x^2 + 1); S ...
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Help with hard integral December 2nd 2009, 04:16 AM #1 Junior Member Joined Oct 2008 Posts 65 Help with hard integral Hello, this is one of my homework problem, and it's pretty difficult, since I have to use arctan, but I can't figure out how to use it here.. And help would be appreciated. Find the ...
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MHD Accelerated Flow of Maxwell Fluid in a Porous Medium and Rotating Frame ISRN Mathematical Physics Volume 2013 (2013), Article ID 485805, 10 pages http://dx.doi.org/10.1155/2013/485805 Research Article MHD Accelerated Flow of Maxwell Fluid in a Porous Medium and Rotating Frame ^1UTM Centre for Industrial and Appl...
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Efficient solution to "risky drivers" problem April 12th 2008, 06:30 PM #1 Efficient solution to "risky drivers" problem I have a solution to a practice problem that took me a long time, and doesn't really match any of my multiple choices. 50% of drivers are low-risk, 30% are moderate risk, and 20% are high ...
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2 gravitational problems November 13th 2008, 05:57 PM #1 2 gravitational problems A projectile is shot directly away from Earth's surface. Neglect the rotation of the Earth. What multiple of Earth's radius RE gives the radial distance (from the Earth's center) the projectile reaches if (a) its initial speed i...
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Approximate Symmetries of the Harry Dym Equation ISRN Mathematical Physics Volume 2013 (2013), Article ID 109170, 7 pages http://dx.doi.org/10.1155/2013/109170 Research Article Approximate Symmetries of the Harry Dym Equation School of Mathematics, Iran University of Science and Technology, Narmak, Tehran 1684613114...
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Find the minimal polynomial for a = π^2 over Q(π^3) March 26th 2012, 10:11 AM lteece89 Find the minimal polynomial for a = π^2 over Q(π^3) If it were in Q then the polynomial would be p(x) = x - π^2, but I don't know if being over Q(π^3) changes that. I think that when you compare the fields you get degree 1, bu...
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Comparative Analysis of Mathematical Models for Blood Flow in Tapered Constricted Arteries Abstract and Applied Analysis Volume 2012 (2012), Article ID 235960, 34 pages http://dx.doi.org/10.1155/2012/235960 Research Article Comparative Analysis of Mathematical Models for Blood Flow in Tapered Constricted Arteries ^1...
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Dosage Calculations!! PLease Help 1. 0 Jul 14, '13 by Tmarie3030 Hi everyone! I'm taking an online course that has me stressed out to the max! I need some guidance as to how to solve these: 1 g:15 mL expressed as a fraction is ___ g/100 mL. Medication order: 750 mL of D5W with aminophylli...
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finding quadratic equation, when given 3 points March 20th 2009, 08:54 PM #1 Newbie Joined Mar 2009 Posts 3 hi. i have the answers to these questions, although i really can't seem to work them out. i know you should sub them into the equation y=ax^2+bx+c but when i have the 3 equations i dont know how ...
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The Existence of Solutions for Four-Point Coupled Boundary Value Problems of Fractional Differential Equations at Resonance Abstract and Applied Analysis Volume 2014 (2014), Article ID 314083, 8 pages http://dx.doi.org/10.1155/2014/314083 Research Article The Existence of Solutions for Four-Point Coupled Boundary Val...
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Inequality, not very hard but nice olympiad problem September 1st 2007, 07:32 AM #1 Junior Member Joined Sep 2007 Posts 37 Inequality, not very hard but nice olympiad problem Find the smallest real number $x$, such that: For arbitrary real numbers $a, b, c\geqslant x$ and $a + b + c = 3$ this inequality ...
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Asymmetric Travelling Salesman Problem - Particular case November 17th 2011, 02:13 AM #1 Newbie Joined Nov 2011 Posts 1 Asymmetric Travelling Salesman Problem - Particular case Hello, First of all I would like to inform you that I am an IT professional and not a Maths expert so some of my vocabulary...
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Partial Actions and Power Sets International Journal of Mathematics and Mathematical Sciences Volume 2013 (2013), Article ID 376915, 4 pages http://dx.doi.org/10.1155/2013/376915 Research Article Partial Actions and Power Sets ^1Departamento de Matemáticas y Estadística, Universidad del Tolima, Ibagué, Colombia ^2De...
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Geometry(2) December 3rd 2009, 04:14 PM Drexel28 Geometry(2) Problem(1): Let $P_n$ be a regular $n$-gon with points $Q_1,\cdots,Q_n$. Fix one point $Q_i\quad 1\le i\le n$ and define $D_k$ as the distance from $Q_k$ to $Q_i$. Evaluate $\prod_{\stackrel{k=1} {\scriptstyle{k}e i}}^{n}D_k$ Problem(2): What...
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Residue theorem usind Residue theorem prove that : $\int \frac {d \theta}{ 1+ {sin^2 x}} = \sqrt 2 \pi ,,, -\pi\to \pi$ i using ${sin^2x} = \frac{1-cos2\theta}{2}$ but the answer not the same First off, I think that you mean $\int_{-\pi}^\pi\frac{d\theta}{1+\sin^2\theta}$. I would suggest try using $u=\tan\left(\frac...
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Partial differentiation April 4th 2010, 02:42 AM #1 Junior Member Joined Sep 2009 Posts 56 Partial differentiation Suppose that f is a differentiable function of a single variable and $F(x,y)$ is defined by $F(x,y)=f(x^2-y)$. Show that $F$ satisfies the partial differential equation $\frac{\partial ...
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Mathematical Induction Hi everyone..i am struggling with this question..Any help would be appreciated Prove by mathematical induction that [img=http://img220.imageshack.us/img220/1937/formula.th.png] First show that the basis holds: $P\!\left(1\right)\,:\,\sum_{k=1}^1\left(3k^2+3k+1\ right)=7=8-1=\left(1+1\right)^3-1$...
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False positives October 29th 2013, 04:13 PM #1 False positives I'm quite happy to answer part 1. of the following problem. "You are diagnosed with an uncommon disease. You know that there is only a 1% chance of getting it. Let D stand for the event 'you have the disease' and T stand for 'the test says so'. ...
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Econometrics Beat: Dave Giles' Blog The Devil made me do it! It just had to happen sooner or later, and no one else seemed to be willing to bite the bullet. So, I figured it was up to me. I've written the definitive addition to the Dummies series : O.K., I'm (uncharacteristically) exaggerating just a tad. I think ...
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Use Lagrange multipliers to find the maximum and minimum February 23rd 2010, 05:25 PM sammygirl2791 Use Lagrange multipliers to find the maximum and minimum Use Lagrange multipliers to find the maximum and minimum values of the function subject to the given constraints. (If a value does not exist, enter NONE.) ...
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Sum question February 1st 2010, 05:20 AM Henryt999 Sum, not solved yet... I´m trying to learn something about matematical induction. This chapter starts with sums (Sigma) There is this easy problem I do not understand. It says calculate the Sigma: from k=1;to n. where $(1/k-1/(k+1))$ The textbook a...
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Integral of sqrt(1 + e^(2x)) Integral of sqrt(1 + e^(2x)) u = 1 + e^(2x) ?? Please point me in the right direction. Thank you. \displaystyle \begin{aligned} \int \sqrt{1+e^{2x}}\;{dx} & = \int\frac{\sqrt{1+e^{2x}}\sqrt{1+e^{2x}}}{\sqrt{1+ e^{2x}}}\;{dx} \\&= \int\frac{1+e^{2x}}{\sqrt{1+e^{2x}}}\;{dx} \\& = \int\frac{1...
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Second Law Analysis of a Gas-Liquid Absorption Film Journal of Thermodynamics Volume 2013 (2013), Article ID 909162, 10 pages http://dx.doi.org/10.1155/2013/909162 Research Article Second Law Analysis of a Gas-Liquid Absorption Film University of Gabes, Engineers National School, Chemical and Process Engineering Dep...
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A company conducted a survey about its two brands, A and B. Author Message TAGS: A company conducted a survey about its two brands, A and B. [#permalink] 25 Feb 2013, 01:25 ...
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Implicit Differentiation I am getting the 0, but its not right. What am I doing wrong?????? If sqrt(x) +sqrt(y) = 7 Differentiate both sides with respect to x, 1/(2sqrt(x)) +[1/(2sqrt(y)](y') = 0 y' = -[1 / 2sqrt(x)] / [1 / 2sqrt(y)] y' = -[1 /sqrt(x)] * [sqrt(y) / 1] y' = -sqrt(y) / sqrt(x) y' = -sqrt(y/x) y(16) = 9 ...
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How to make a change of basis? October 5th 2011, 02:40 AM #1 Newbie Joined May 2010 Posts 6 How to make a change of basis? Hi all! I got a problem, I need to make a change of basis, I have a matrix representation $T= {ab }\begin{bmatrix} 1 & 0 & 0 \\ 0 & 2 &0 \\ 0 & 0 & 3 \end{bmatrix}$ in the ...
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Having difficulty with a proof - distance from a point to a line June 6th 2010, 05:52 AM #1 Member Joined Sep 2009 Posts 83 Having difficulty with a proof - distance from a point to a line Hey! I am having trouble proving something, and I was hoping someone here could help me out! Question ...
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Number theory(Primes) September 8th 2009, 05:02 PM manusform Number theory(Primes) *Determine whether the following assertions are true or false. if true, prove the result, and if false, give a counter example 2. If p is a prime and p/(a^2+b^2) and p/(b^2+c^2) then p/(a^2-c^2). September 8th 2009, 05:08 PM...
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Area of a polygon on the unit circle April 5th 2011, 10:41 PM #1 Newbie Joined Feb 2011 Posts 24 Area of a polygon on the unit circle I'm having a hard time solving this problem: Find the area of a regular dodecagon whos vertices are 12 equally spaced points on the unit circle. what i did was sp...
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An Algebraic Method on the Eigenvalues and Stability of Delayed Reaction-Diffusion Systems Discrete Dynamics in Nature and Society Volume 2013 (2013), Article ID 412343, 7 pages http://dx.doi.org/10.1155/2013/412343 Research Article An Algebraic Method on the Eigenvalues and Stability of Delayed Reaction-Diffusion Sy...
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physics related calc October 15th 2007, 05:51 PM #1 Junior Member Joined Sep 2007 Posts 39 physics related calc Well I am once again at a stand still. Its basically a simple circuit problem, but not so simple to me. Heres where im at: e^(t/RC) q = CV e^(t/RC) + K All letters in capital are cons...
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Self-Consistent Sources and Conservation Laws for Nonlinear Integrable Couplings of the Li Soliton Hierarchy Abstract and Applied Analysis Volume 2013 (2013), Article ID 598570, 10 pages http://dx.doi.org/10.1155/2013/598570 Research Article Self-Consistent Sources and Conservation Laws for Nonlinear Integrable Coupl...
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Couple of the Variational Iteration Method and Legendre Wavelets for Nonlinear Partial Differential Equations Journal of Applied Mathematics Volume 2013 (2013), Article ID 157956, 11 pages http://dx.doi.org/10.1155/2013/157956 Research Article Couple of the Variational Iteration Method and Legendre Wavelets for Nonli...
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The Learning Rates of Regularized Regression Based on Reproducing Kernel Banach Spaces Abstract and Applied Analysis Volume 2013 (2013), Article ID 694181, 10 pages http://dx.doi.org/10.1155/2013/694181 Research Article The Learning Rates of Regularized Regression Based on Reproducing Kernel Banach Spaces ^1Departme...
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it is really imp plz solve February 28th 2006, 01:17 AM bharathlece it is really imp plz solve A+B+C+D=D+E+F+G=G+H+I=17 where each letter represent a number from 1 to 9. Find out what does letter D and G represent if letter A=4 February 28th 2006, 02:12 AM ticbol Quote: Originally Posted by bhar...
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