Recent content by Alex Mamaev

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    Proving Jacobian Product Equality: Does Constant Matter?

    Question: The following are determinants of partial derivatives multiplied together giving another determinant of partial derivatives Prove that this equality holds: Relevant Equations: |du/dx du/dy| |dx/dr dx/ds| |du/dr du/ds| |dv/dx dv/dy| |dy/dr dy/ds| = |dv/dr dv/ds| Attempt at Solution: I...
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    Optimizing Savings Growth with Continuous Compounding and Depletion

    Omg thank you so much, i kept thinking it was an optimization problem, don't know why. I get it now:)
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    Optimizing Savings Growth with Continuous Compounding and Depletion

    Homework Statement Find the amount in a savings account after one year if the initial balance in the account was $1000, the interest is paid continuously into the account at a normal rate of 10% per annum (compounded continuously), and the account is being continuously depleted at the rate of...
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