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6.I have a doubt about on whether it is possible to integrate logarithmic spirals to find the area of certain ...

certain objects. So in this case, I derived a log spiral equation in polar coordinates to model an spiral galaxy. I plan on finding the area as well as volume of the galaxy using the function which I have derived. So is there any way, I could integrate these spiral functions to find area?
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7.I have a doubt about the solving boundary value problem using Laplace transform. Here as x tends to infinity U(x,s) ...

infinity U(x,s) tends to 0. But according to the equation it should tend to -g/s^3. Why do we ignore this?
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1.AU MAT 120 Systems of Linear Equations and Inequalities Discussion

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