MATH215 : Notes done in LaTeX
24 Dec 2011
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S15. 2 area, moments, and center of mass . ***how to plot ax2 + bx + cy + d = 0 . *how to nd by tan = y. ***how to nd an equation for a plane passing through 3 points a(x0, y0, z0), b(x1, y1, z1) and c(x2, y2, z2): . S15. 6 triple integrals in cylindrical and spherical coordinates . The double integral of f over the rectangle r = [a, b] [c, d] is. R f (x, y) da = lim m,n m(cid:88)i=1 n(cid:88)j=1 f (x ij, y ij) a where the double sum is called the double riemann sum, the sample point is picked from and where and (cid:0)x ij, y ij(cid:1) A m xi = a + i x i = 0, , m. Y = d c n yj = c + j y j = 0, , n. The sample point (x ij, y ij) is picked from rij.
