7. Show that for R sufficiently large, the polynomial P(z) in Example 3, Sec. 5, satisfies the inequality |P(z)| < 2|an||z|" whenever |z| > R. Suggestion: Observe that there is a positive number R such that the modulus of each quotient in inequality (9), Sec. 5, is less than |an|/n when |z| > R.

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Q: Example: x = Ax A= + and draw Phase portrait- 2ء ° 0 Rind & ε", & M

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Q: 1. Solve for x in the equation: 2. If A = (1/3 2/) 4 x³-3x²+4=0 find the determinant of A.

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A: Step 1: Given equation and initial conditions:x'' - 6x' = δ(t - 1) x(0) = 7 x'(0) = 0  Step 2: Apply…

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A: Step-by-step detailed solution of each:  1.det(A)=−300Step 1: Use the expansion along the first…

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Q: Find the general solutions of the system. -11 0 0 x' = 18-5 4 X -27-9-17

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