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Christopher D.

Mathematician and Programmer

Washington, DC (20016)

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9 - (|m| + 7) = 4    [distribute] 9 - |m| - 7 = 4    [combine constants] 2 - |m| = 4    [subtract 2] -|m| = 2    [multiply by -1] |m| = -2   No mater what number m is, the absolute value of m will always...

The left and right hand pages should be exactly one number apart in a book. So let's call the right page number n, then the left page number (the odd number) would be n + 1.   (n)(n + 1) = 1190 n2 + n = 1190 n2 + n + 1/4 = 1190 + 1/4 (n + 1/2)2...

I get the two intersections at x = (1 - √13)/2, (-1 + √13)/2; let's label them a, b (respectively). If we evaluate ∫ab π (3 - x^2)2 dx (the greater function's volume), then subtract ∫ab πx2 dx (the lesser function's volume), we get π[9x - 2x3 + 1/5 x5]ab - π[1/3 x3]ab

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