Recent content by lionsgirl12

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    Particular Solution to a System of First Order Linear Equations

    Consider a certain linear system of 2 equations x'=Ax. Suppose the real-valued coefficient matrix A has r=-1+4i as one of its eigenvalues, and that one of its corresponding eigenvectors is (2, 5-2i). Find the particular solution that satisfies the initial condition x(0) = (-4, 3)...
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    Continuous compound interest with additional transactions

    1. The accountants at HR office of the Sirius Cybernetics Corporation have determined that the company would need additional $10 billion in its pension fund account over and above the current projected amount at the end of year 2030. (a) Assuming the fund's balance will be growing, compounds...
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    Wile E Coyote vs Road Runner: Racing for a Catch!

    1. Wile E Coyote, armed with ACMETM-brand rocket-propelled rollerblades, is at it again trying to catch his nemesis Road Runner. Suppose the ground velocities, in hundred miles per hour, of the twosome are described by the equations below: Wile E Coyote: v'=200-8v2 Road Runner...
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