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Your friend Yerasimo is interested to find the total mass M4 of the thin plate bounded by z =3, 7=0, * =c, Whose density is

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Your friend Yerasimo is interested to find the total mass M4 of the thin plate bounded by z =3, 7=0, * =c, Whose density is o (x, 9) = (x2 + 72) where c is a positive constant. Yerasimo's friend Weiyu suggests to calculate total mass /4 using polar coordinates and set up the following double integral . b M = f(r,0) drde Syntax enter theta for 9. Weiyu challenges you to enter the limits of the integal [a, b] = [1 (0), 72 (0)] = and f (r, 8 ) = Help Yerasimo and Weiyu by evaluating the integral and show that the total mass M = G G. You may find the following formula useful sec"(O) de _ sec" (9) tan( @) + sec"-2(9) do . n - 1 n - 1

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