Suppose that p(t) is a differentiable function with $'(1) S kø(1) (k > 0) for 1 2 a. Multiply both sides by e-kt, then transpose to show that for t 2 a. Then apply the mean value theorem to conclude that $(1) < ¢(a)ek(t-a) for t2 a.

Q: В. B. Show that the function f (z) = -i z2 is analytic.

A: The solution is given as

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A: We will find out the required solution.

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Q: 1. Find the number c that satisfies the Mean Value Theorem for f (x) = on the interval [1, 4].

A: We’ll answer the first question since we answer only one question at a time. Please submit a new…