1. Show that the absolute value of Re(z) + the absolute value of Im(z) is less or equal to root of 2 absolute value of z for any z is in complex number. 2. Under what circumstances does the absolute value of z + w= the absolute value of z + the absolute value of w where z;w in C. 3. Determine if the following is true or false with reason: Arg(z)=-Arg(z) if z is not real number, where Arg(z) denotes the principal argument of z.

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A: Given:  k1=hfti, wik2=hfti+h2, wi+k12k3=hfti+h2, wi+k22k4=hfti+h, wi+k3 and wi+1=wi+16k1+2k2+2k3+k4…

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A: Explanation of the answer is as follows

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A: Explanation of the answer is as follows

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Q: Q2: Find the area inside r = 2(1 - cose) and outside r = 2.

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A: In a right stochastic matrix rows add to 1. In a left stochastic matrix column add to 1.

Q: determine how solutions behave as t → ∞.

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A: Solution :-

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Q: [2 3 4 A = 13 | من بن 2]

A: Tje solution is given in the next step.

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Q: attained by the func x 2) in the interva

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A: Use the properties of invertible matrices and their product to solve this problem as in next step.

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Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.