a) Prove that f(z) = |z is not harmonic functions but f(z) = In(z) is harmonic. b) Using Demoivre's theorem, find the values of (3 + 3i)4 c) Draw the graph for the equation u = -4.1.(v-3)

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A: We use derivatives application to find minimize distance from a point to a line

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A: If we have 2 points x0, y0 and x1, y1, then the point-slope form is y-y1=mx-x1, here, m is the slope…

Q: A3) Find the equation of the line tangent to the graph of f(x) = 4x + 3r² – 6x – 4 at x = -3.

A: f(x)=4x3+3x2-6x-4 at x=3,

Q: he equation of the axis of symmetry of the following para y=-x^(2)+2x+3 Submit Answer

A: Axis of Symmetry for parabola y=-x2+2x+3

Q: (6) Let a be a positive real number. Consider the curve defined by r? + y² – ry = a². Find all…

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Q: Find the distance between (1, 1) and (3√3) along the graph of y2=x3

A: ANSWER :

Q: 1. a) Find dy for the equation 4x²y ² - x ³y = 3 dx b) find the x-coordinate of each point on the…

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Q: 10. Determine the equation of the tangent to y = x² - 4√x at x = 4.

A:

Q: if f(x)=cospix, find the extact value of a such that f(1)-f(-1)/1-(-1)=cos a.

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Q: The line y = 6x − 12 is tangent to the graph of at the point help (points) y = -24 x + 2

A: