Discuss the difference between harmonic and conjugate harmonic function. Also find the analytic function ƒ(z) = u(r, 0) + iv(r, 0), such that v(r,0) = r³ cos30 + rcos0 +5.

Q: 1. (x*+2x)°(6x²+4)dx 2. [3x²+2x+1 dx 3. (x?)/(x³-4) dx 4. (x+1)/(\x²+2x+1) dx

A: As per the guidelines we can solve 3 problems only.

Q: Part 1 a) Given f (z) = + x2 + i(2x2 - y?), show which points where f has y a derivative. b) Show…

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Q: 0 2 20 {back) -5 In(x)². Sin(x) lo So -10 e. cos² (x) n = 100 n = loo Trapizodia Simp.

A: a=-5; b=20; f=@(x) (log(x)).*(log(x)).*sin(x); n=100; x=linspace(a,b,n+1); h=(b-a)/n;…

Q: Using the parametric differentiation find dy, if x = 9t², y = 5t³ O 0.83t O 1.11t O 2.70t O 1.39t…

A: x=9t2 ,y=5t3

Q: Consider the funtion f(x)= 7x+1/2x-1 a)Determine the simplified first derivative and use it to find…

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Q: The slope of the tangent line at any point (x, y) on the curve 3x2 -2x+7 and the point (1, 3) is on…

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Q: Find an analytic function (or functions) if 2 Ref(z) = x²= y² + 2x and fli) = 2i - 1

A: f(z)=z2+2zExplanation:Thank you?

Q: 3) Find the function of y = 1) Reflect about the (2) Shift up (3) Shift X-axis 8 Units left 7units

A: The given function is y=x1) Reflect about x-axis2) shift up 8 units3) shift left 7 units

Q: Determine the equation of the function y =a sin b(x-c)+d, where a <0 whose graph is shown below. (1.…

A: Here we can see it is a sin wave standard form of sin wave  y =a sin b(x-c) +d =a sin (bx) +dbut we…

Q: 6. tan (9x + 5) + C 1. O B. - O A. sec2(9x + 5) Which function should be differentiated? 6. tan (9x…

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