Recent content by Abyssnight

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    Graduate Linear system of equations for a differential equation

    Solve the equation m\frac{d^{2}x}{dt^{2}} + c\frac{dx}{dt} + kx = (ax + b)^{2} + c^{2} for the constants m, c, k The right hand side a, b, and c are arbitrary digits. For me they are a = 2, b = 3, and c = 8. The problem recommends creating a linear system of equations for me to solve. This...
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    Setting up an integral for surface area

    I looked at it again would one possible answer be: 4pi\int(-y^2 + 1)\sqrt{1 + 4y^2}dy with limits of integration (0,1)
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    Setting up an integral for surface area

    Homework Statement Set up an integral that represents the area of the surface generated when the region is bounded by x + y2 = 1 and the y-axis, then rotated about the y-axis. All in one-variable. Homework Equations SA = 2pi \int xds possible x2 + y2 = r2 The Attempt at a Solution...
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    Help with alternating series sum

    Wow, haha. I must have had a long night to for some reason miss the obvious. x = -e and it works. Thank you haha.
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    Help with alternating series sum

    Homework Statement Given the following: 1 - e + e2/2! - e3/3! + e4/4! + ... Find the sum of series Homework Equations The MacLaurin equation for ex The Attempt at a Solution Well I thought that it would look like \sum(-1)^n\frac{e^n}{n!} Tried the Ration Test and got no where...