Suppose that G is a finite simple group and contains subgroups Hand K such that |G:H| and |G:K| are prime. Show that |H| = |K|.

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A: Given the differential equations:               dxdt=-1.4x+0.75y,dydt=1.66667x-3.4y.

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A: We recall the formula for the determinant and solve the problem. The details are given in step 2.

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Q: 27. g(x) = 2x² - x - 15 x - 3 1 kx - if x # 3 if x = 3

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