late the followin integrals: a) ²² - i)² dx z³+4 b) § 22 +4 dz when the contour C is the circle |z - 2| = 5 Z-1 c) - dz when the contour C is the circle |z| = √3 COSZ 3 (z-i)³

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Q: The modulus of 5 + 4i is * -41 -√41 √41 41 The conjugate of (i-i² )³ is -2-2i O 2+2i -2+2i Oi-1

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A: Follow the procedure given below.

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A: The given integral,      ∫28dx5-x43

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A: I am attaching image so that you understand each and every step.

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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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Q: Use INTEGRATION BY PARTS to solve this integral. Specify all variables. Box the answer. 10 x³…

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Q: 5. A tank is full of water. Find the work required to pump the water out of the spout. Water weighs…

A: A tank is full of water. Find the work required to pump the water out of the spout. Water weigh is…

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Q: 4 3 2 1 -4 -3 3 4 --x-- -2 -3 -5+ In the above graph of y = f( x ), find the slope of the secant…

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Q: Question (3): Determine the absolute extrema of the function f(x) = x² + 2x - 4 in the interval…

A: Given :f(x)=x2+2x-4   [-1, 2]

Q: 5. A tank is full of water. Find the work required to pump the water out of the spout. Water weighs…

A: A tank is full of water. Find the work required to pump the water out of the spout .water weight is…

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Q: which method is best to describe an infinite set?

A: The solution is given below

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Q: 14. Find the equivalent integral of * S x(x+1) O-f3dx + f 3d x+1 dx OS÷-1# R x+1 01 Of //dx -…

A: Here we have to apply partial fraction.

Q: 2x (x-a)² dx; a is constant

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A: Given.

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A: Given, y is directly as the fourth power of x That is, y=kx4

Q: 17. Integrate xylnx 3 X enfra W + C 3 2(1 x)² 3 2 ln x L +0 + C (In x)² + C

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Q: 1. Dan earns P620 in selling 5 boxes of facemask, how much will be earned in selling 20 boxes of…

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Q: 2 2 J 1 2 3

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Q: 9. The height at time t (in seconds) of a mass, oscillating at the end of a spring, is s(t) = 300+40…

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Q: Express as a single logarithm and, if possible, simplify. log (x²-2x-35) - log (x²-25) log…

A: Using log(a)- log(b)= log(a/b)

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Q: Find the general solution of the following linear differential equation:…

A: The given differential equation,     2d4ydx4-3d3ydx3-2d2ydx2=0

Q: TU The result of f fysinxdxdy = O 1 O -1 O 1.5 O -1.5

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Q: 2. The mode score on the 6th grade math test was 94. Which of these interpretations must be correct?…

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Q: Find the logarithm. 1 log 4 256

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