Given a complex function f(z) in region D, prove that it must be a constant if the following conditions are fulfiled. Please show every steps. (Re = real part) 1. f(z) is analytic in D 2. Re[f(z)] = constant in D

Q: 6. Translate to an inequality. 1. Six more than a number is less than 21. II. The cost is no more…

A: I. Six more than a number is less than 21.Correct answer: b) 6+n<21Explanation:"Six more than a…

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A: Given Values:A = −7B = sqrt(144) = 12 (positive square root)C = ∣−3.42∣ = 3.42 (absolute value)D =…

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A: Step 1: Verify if the zero vector is in the seta3=b3 holds for the zero vector:03=030^3 =…

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Q: 5.) Show that Laplace's equation in polar coordinates is 2 J² u dr² 1 Ju 1 Ju + + =0 dr r² do² дог

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Q: SOLVE THE INTEGRAL 10x+18) dx x²+2x-15 7x²- 7x3 +5x+3 S ) dx INTEGRAL OWN OR IMPROWORTHY?

A: NOTE: Since all of our questions are in fraction form, it will be easier to apply the concepts of…

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A: Approach to solving the question: Here's a summary of the steps:1. **Find Midpoints**: Calculate the…

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A: Overview of the Plurality with Elimination MethodInitial Count: Count the number of first-place…

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Q: Consider the integral equation for y(t), y(t) + L y(7) cosh(t) dr = t + et (a) Solve the integral…

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A: Given the above information,Required:Determine the horizontal distance between these points…

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A: APY = [1 + (0.047/12)12]-1        = (1.0039)12-1        =1.0480-1        = 0.04802        ≈…

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