Recent content by Hashmeer

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    Optimizing Rocket Equation Mass Ratios with MATLAB fmincon

    Homework Statement I'm trying to use fmincon to find the optimal mass ratios for the rocket equation. The only variables are m2/m1 and m3/m2 (R1 and R2 respectively). The Attempt at a Solution function [ velocity ] = rocketEqn( MR ) % Calculates the velocity that a rocket can attain...
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    Matlab ode45 Help: Solving Orbital Propagation Issues

    Homework Statement I need to create an orbit propagator for the orbit of a specified body and graph it. I've written a code that works and correctly gives me a circular orbit for a satellite in geosynchronous orbit and it appears to correctly display the orbit of the Earth for one year. I'm...
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    Simple ECE First Order Network

    Thanks for the tip. I actually just made a units mistake... milliseconds not seconds.
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    Simple ECE First Order Network

    Homework Statement I need to resolve this network and find the equation for voltage at some time, t'>0. I know how to find the equation, but I'm having trouble finding the value for tau because I'm not sure what the equivalent resistance is. Homework Equations tau = R*C R1 = 4 k...
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    Joint Probability Density Function

    Ah, right. Thanks for the help, that was pretty dumb...
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    Joint Probability Density Function

    Homework Statement X and Y are random variables with the joint density: fXY(x,y) = k*e^(-lambda * x) if 0 < y < x < infinity = 0, otherwise Find P(X + 2*Y <= 3) Homework Equations I found k = lambda^2 The Attempt at a Solution I'm not sure exactly how to solve this, but...
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    Jacobian & Area Calculation of R x D Under T(u,v)

    Homework Statement Let D be the image of R = [1; 3] x [1; 4]. under the map T(u; v) = (u^2/v , v^2/u) (a) Compute the Jacobian of T. (b) Compute the area of D. The Attempt at a Solution I'm pretty sure I found the Jacobian (I got -2v/u + 2u/v), but I am confused on the next part...
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    Algebraic Multiplicity and Eigenspace

    So the rank = 2 since rank = # columns (4 in this case) - dimNul A (in this case 2). So if the rank is to equal 2 then I will need another free variable, or I need to remove a pivot position. So since h-6 is in a pivot position I can easily make it a nonpivot column by setting h=6. This would...
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    Algebraic Multiplicity and Eigenspace

    Homework Statement Find h in the matrix A such that the eigenspace for lambda=5 is two-dimensional. A= [5,-2,6,-1] [0,3,h,0] [0,0,5,4] [0,0,0,1] A-lambda*I(n) = [0,-2,6,-1] [0,-2,h,0] [0,0,0,4] [0,0,0,-4] Homework Equations The Attempt at a Solution I'm not really sure how to...
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    Center of Mass via Scalar Line Integrals

    Yea, I looked over my notes and I figured out what I need to do. Thanks for confirming what I was thinking was wrong.
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    Center of Mass via Scalar Line Integrals

    Homework Statement A thin wire has the shape of the first quadrant part of the circle with center at the origin and radius a. If the density function is rho(x,y)=kxy, find the mass and center of mass of the wire. Homework Equations My parametric equation of the circle was x=a*cos(t) and...
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    Stable Nuclei present during Homogeneous Nucleation

    Homework Statement Assume for the solidification of nickel that nucleation is homogeneous, and the number of stable nuclei is 10^6 nuclei per cubic meter. Calculate the critical radius and the number of stable nuclei that exist at the following degrees of supercooling: 200 K and 300 K...
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    Linearly Independent Sets and Bases

    Homework Statement So I'm trying to find a basis for the space that is spanned by the given vectors. {(1,0,0,1) (-2,1,-1,1) (6,-1,2,-1) (5,-3,3,-4) (0,3,-1,1)} These are written as column vectors. Homework Equations None really (that I know of) The Attempt at a Solution So I...
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    What is the Lattice Parameter c of an HCP Crystal Structure?

    Homework Statement I'm trying to figure out the lattice parameter, c, of the HCP crystal structure. Here are a couple links showing the structure...
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    What is the Net Electric Field at Point P Due to Two Charges on the X-Axis?

    Okay so here is what I did: Using the above equation, E=kq/r^2 kq(1)/r^2 + kq(2)/r^2 where q(1) = 2x10^-6 and q(2) = -2x10^-6. Then the distance from P to q(1) is 13 cm and the distance from P to q(2) is 34 cm (the 21 cm between charges and the 13 cm from q(1) to P) So it becomes...
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