By using Cauchy Integral's Formula, evaluate the following integrals: = −2)² dz, where C' is the circle of radius 2 centered at the origin, z+i i) ii) 111) ·5z² +2 5z² + 2z+1 (z-i)³ z²-z+1 z-1 -dz, where C' is the circle of radius 2 centered at the origin, dz, where C is the circle of radius centered at the origin.

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A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

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A: By using synthetic division to divide the polynomial x4+3-hx3-2hx2-2h2x+h3 by the polynomial x-h.

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A: 1. Pr(A') = 1 - Pr(A) = 1 - 0.7 = 0.3 Pr(B') = 1 - Pr(B) = 1 - 0.5 = 0.5 Pr(C') = 1 - Pr(C) = 1 -…

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A: Given that D is a region that lies below the sphere and above a cone.

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A: The mean is 110 and the standard deviation is 25 grams.

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A: Here is the image form of the solution.

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A: Apologies for the inconvenience.   We graph the given equations using graphing calculator.

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A: Incorrect statements:4=2=21 is a rational number.Irrational numbers can not be written as…

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Q: working

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A: We shall use separation of variable then direct integration to solve IVP

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A: To upload the data, you can try compressing the Excel file into a zip folder and then uploading the…

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Q: can this be further simplified?

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A: Solution : The given equation is    x=√x + 6

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Q: Do I have to use x and y to represent a problem’s variables?

A: We can use any English alphabet to represent the variables in the problem.