Let C:z-1 in the counterclockwise direction and/- dz, J = $ Lnzdz, and K-4, tanždz For which integral(s) can we apply Cauchy Goursat theorem? O For L only O Forl, J, and O For Konly O None of these O Fort and K only

Q: 20 40 60 80 100 120 140 160 180 200 2 4 8. 16 32 64 128 256 512 1024

A: We can solve this using y= a* ebx formula to.calculate the mathematical model

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A: We have to find the value of the given definite integral.

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A: Explanation of the answer is as follows

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Q: u? du u+2 b)

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A: Answer: the evaluation of above integral is as shown below:

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A: Given The given integral is ∮-3y2dx-3x2dy, where x=0, x+y=1, y=0 Apply Green's theorem (tangential…

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A: We have to integrate

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A: A set is said to be closed under addition if the addition of a number to the set will give another…

Q: Use the Cauchy integral formula to obtain the integral 22 dz 12-= contour C

A: First of all let us draw the contour region: The circle C given is ∣z−i∣=1.So,It has centre at i…

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A: Given integral is, ∫dx1-sinx-cosx

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A: Topic:- application of integration

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Q: Q2) Evaluate the integrals 1) f (sec 0 tan 0) VI + sec 0 d0 , 2) sa+v2 du

A: 1. ∫secθtanθ1+secθdθ Take  1+secθ=tsecθtanθdθ=dt Therefore,…

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A: The given problem is to evaluate the given path integral over given path of line segment joining…

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A: We use here Residue theorem to find the complex integral

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Q: 6. dyda ydyda 2R Sys of 37 15D to

A: Formula Used:-(1) ∫a2-x2=xa2-x22+a22sin-1(xa)+c(2) ∫xa2-x2 dx=-(a2-x2) 323Consider,A=∫02R∫0R2-(x-R)2…

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Q: Is the following statement TRUE or FALSE? If y' %3D sin x x² +y? then the differential equation has…

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Q: By applying the convolution theorem to calculate L-1(14/[(s + 4)² + 25] ), an adecuate integral for…

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Q: Use greens theorem to evaluate line integral (x2y)dx+y2dy),where c is the closed path formed be y=x…

A: NOTE: Correct statement for line integral is given by ∮C x2ydx+y2dy where C is the closed path…