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Modern Algebra: Let sigma = (i1 i2 ... ir) be a cycle in Sn and tau be in Sn. Prove that tausigmatau^-1 = (tau(i1) tau(i2) ... tau(ir)).? How do you calculate the derivative of csc^2(5^x(x^5)) ? How long does it takes in minutes for light to reach jupiter from the sun, a distance of 8.367x10^8 km? plzz help? Integration of 10-10e^-2t? Calculate the pH and find the fraction of dissociation of 0.5 M benzoic acid?