Recent content by lagwagon555
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Optimisation using constraints
Homework Statement Consider the intersection of two surfaces: an elliptic paraboloid z = x2 + 2x + 4y2 and a right circular cylinder x2 + y2 = 1. Use Lagrange multipliers to find the highest and lowest points on the curve of intersection The Attempt at a Solution L = x^2 + 2x + 4y^2...- lagwagon555
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- Constraints Optimisation
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- Forum: Calculus and Beyond Homework Help
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Finding partial derivative of a trig function
Ah right I see, thanks a lot for clarifying that. I'm taking a senior level maths paper after 2 years of not doing maths, so I keep slipping up on things like that. Thanks again :)- lagwagon555
- Post #3
- Forum: Calculus and Beyond Homework Help
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Finding partial derivative of a trig function
Homework Statement Find the partial derivative with respect to x of sin(xyz - 1) Homework Equations None needed. The Attempt at a Solution I took the answer to be yz*cos(xyz - 1), but wolfram alpha is giving me yz*cos(1 - xyz). Anyone know what's going on here? Thanks!- lagwagon555
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- Derivative Function Partial Partial derivative Trig
- Replies: 2
- Forum: Calculus and Beyond Homework Help
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Calculating power in a circuit with loops
Homework Statement http://img33.imageshack.us/img33/1147/question1x.jpg Homework Equations V = IR, Sum of currents at junction = 0. The Attempt at a Solution Just doing some exam revision, and found this one in my notes. I'm not really sure how to go about it. Using Kirchhoffs rules, you...- lagwagon555
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- Circuit Loops Power
- Replies: 1
- Forum: Introductory Physics Homework Help
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Solving Matrix Multiplication: A*B^T with A=2,1;5,3 and B=1,-1,1;-1,1,1
The way it was actually written was BTA, so I think it made a point of showing that it wasn't (AB)T. So I'm thinking that the answer is that it can't be computed? Thanks for the quick reply! EDIT: ooooooooooh. Ooops. How embarassing. Of course it makes a difference when B comes first. Argh!- lagwagon555
- Post #3
- Forum: Precalculus Mathematics Homework Help
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Solving Matrix Multiplication: A*B^T with A=2,1;5,3 and B=1,-1,1;-1,1,1
Homework Statement Find A*B^T, where A= 2 1 5 3 And B= 1 -1 1 -1 1 1 Homework Equations n/a The Attempt at a Solution The problem is, is that if I get the transpose of B, I will end up with a 3x2 matrix. Isn't this impossible to multiply by a 2x2...- lagwagon555
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- Matrix Matrix multiplication Multiplication
- Replies: 2
- Forum: Precalculus Mathematics Homework Help
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Find current generated from photoelectric effect.
Homework Statement A beam of light of 300nm is shone at a metal surface of work function 2.25eV. The power of the light striking each square centimeter is 1 microW. A total of 3cm^2 is illuminated by the beam. If each photon caused an electron to be ejected, what current is produced...- lagwagon555
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- Current Photoelectric Photoelectric effect
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- Forum: Introductory Physics Homework Help
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Maximum resolution by quantum mechanics
Homework Statement Microscopes are inherently limited by the wavelength of the light used. How much smaller (in order of magnitude) can we “see” using an electron microscope whose electrons have been accelerated through a potential difference of 50 000 V than using red light (500 nm)...- lagwagon555
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- Maximum Mechanics Quantum Quantum mechanics Resolution
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- Forum: Introductory Physics Homework Help
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Quantum energy level, calcualting total energy
Absolutely brilliant. I haven't seen that equation yet, so I'll have to look it up to understand it, but it sure as heck works! Thanks for your time, hugely appreciated.- lagwagon555
- Post #3
- Forum: Introductory Physics Homework Help
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Quantum energy level, calcualting total energy
Homework Statement The element N has 7 electrons and 7 protons in the atom. An ion of N has all the electrons removed except 1, so it resembles a hydrogen atom with a nuclear charge of +7 e. E1(Hydrogen)= -13.6eV, r1(Hydrogen)= 5.29x10^-11m. k = 8.99x10^9 e = 1.6x10^-19 What is...- lagwagon555
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- Energy Energy level Quantum Total energy
- Replies: 2
- Forum: Introductory Physics Homework Help
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Solving the Equation x = (1.66x10^28)/(sin^3(45)) for Binary Star Mass
Haha, not my brightest moment ever. Thanks for clearing that up!- lagwagon555
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- Forum: Calculus and Beyond Homework Help
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Solving the Equation x = (1.66x10^28)/(sin^3(45)) for Binary Star Mass
Homework Statement Solve the equation x = (1.66x10^28)/(sin^3(45)) Homework Equations n/a The Attempt at a Solution My attempt is really non existent, since I haven't had to work with sin^3 before, I haven't even seen it before this assignment. Basiclly I'm working out the mass...- lagwagon555
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- Replies: 2
- Forum: Calculus and Beyond Homework Help
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Graduate What Units Should I Use to Calculate Planetary Orbit Time?
Hi all, I'm working on a problem where I have to find the time it takes for a planet to form from a protoplanetary disk, using the equation: t = \frac {3}{A}M^{1/3} Where A= ( \frac {(1+2\beta)\sigma}{P}) (\frac {3\pi^2}{4\rho_m})^{2/3} However, I'm not sure which units the...- lagwagon555
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- Orbits Planetary Planetary orbits Units
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- Forum: Astronomy and Astrophysics
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Undergrad Theoretical Physics/Astrophysics Books
Well if you're a college student, you will be able to tackle Astrophysics in a Nutshell. I haven't encountered any multivariable calculus yet, so the book (if it does at all) makes very minimal use of it. If you are in college, and have a decent maths textbook, you will be absolutely fine. You...- lagwagon555
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- Forum: Science and Math Textbooks
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Undergrad Theoretical Physics/Astrophysics Books
As said above, you should really search the forums, there are heaps of discussions like these. For my introductory astrophysics course, I'm using Astrophysics in a Nutshell by Moaz. It seems to cover a lot for only a couple of hundred pages, and I love the way it is written. However, I'd only...- lagwagon555
- Post #4
- Forum: Science and Math Textbooks