Recent content by simpleman008

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    Four Bugs Differential Equation

    Also let it be noted that the graph I included obviously isn't correct cause it needs to be rotated 45 degrees
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    Four Bugs Differential Equation

    Yes that is how he had it written, but why did you put it equal to -1?
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    Four Bugs Differential Equation

    Homework Statement Four bugs are walking on a flat surface. They start at the four points (1,1), (1,-1), (-1,1), and (-1,-1) and begin walking counterclockwise, each one following the next. Show that the motion of bug A, who starts at (1,1), satisfies the equation \frac{dy}{dx}=...
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    Surface area of a hemisphere w/ vector calculus

    Homework Statement I need help proving how you could use evaluation of the surface integral \oint\oint f(x,y,z)dS to show that the surface area of the upper hemisphere of radius a is 2\pi a2. So any ideas? Homework Equations The teacher mentioned that the divergence theorem would be...
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    How Do You Calculate the Volume and Centroid of a Sphere Cut by a Plane?

    The unit sphere x2 + y2 + z2 =1 with density =1 is cut by the plane z=1/2. Find the volume and centroid of each piece. As of now, i have (for the top piece) the integral of \int\int\int r2 Sin[p] dr dp dt, with theta from 0 to 2 pi, phi from 0 to pi/2, and row from 1/(2Cos[phi]) to 1, but...
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