Use Cauchy to integrate the following T ez - e-z 24 dz

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Q: 5. Let x, y be vectors in R4, and let L be the set L = {ax +By: a, ß ER, a + B = 1}. (a) Verify that…

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Q: Find the order and degree of the differential equation:- d³y d4y dy + dx3 = 6xy dx4 dx .

A: Please refer below pages.If you have any doubts please feel free to ask.Explanation:Step 1:

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Q: #5: Verify that there exists a function g: R². R² such that u (u, v) = g(x) for the system 5x² + 4y…

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Q: Consider the bilinear form H: R2 × R2 R defined by →> = x1 y1 + 6x1y2+6x2Y1 + 3x2Y2. H Let B= =…

A: Given the bilinear form  defined by.The ordered basis of R2 is .

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Q: Suppose f (x, y) = , P = (-2, -1) and v = 2i - 4j. A. Find the gradient of f. (Vƒ)(x, y) =i+j Note:…

A: Since you have posted a question with sub-parts greater than three. We will provide the solution…

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Q: End the function that is harmonic unit disk and agrees on the with f(0) = sin ² (0) boundary.

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Q: Solve the following Transportation problem using a) North West Corner Cell Method b) Least Cost…

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Q: 2. Determine the least nonnegative residures modulo 397 of each of the following:! (i) 2396 198) (1)…

A: We use Fermat's Little Theorem to solve this question

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Q: Question 4. Let for every n E N, An= {0, 1,2, ...,n}. Find n An and An. U nEN nEN

A: Ans:a).{0,1}b).{0,1,2,3,4,5,...}For details please see the explanation.If you have any problem then…

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Q: Let x, y, and z be real numbers. Prove the following a. -(-x) = x b. (-x) * (y) = -(xy) and (-x) *…

A: I have provided detailed proof for each question in the Explanation section.Explanation:Let's go…

Q: dy Find the general solution of the non-homogenous differential equation: dx x+y+4 4x+4y+2

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Q: 3)Find the dimensions x and y of rectangle area of 48 that has maximum perimeter.

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Q: Need help with these two Intro to Elementary Number Theory Homework problems.

A: (601−1)!≡600 modulo 601(816−1)!≡0 modulo 816Explanation:

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Q: 3 0.40 2 0.42 0.58 0 1.0 1 0.14 0.60 0.86 For the given graph, what is the corresponding transition…

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Q: pls answer this three question with solution thank you

A: 1. 38.36o2. 5 roots3. 40Explanation:1. To find the principal argument of (−2+j)41​, we first need to…

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Q: Let T be a normal operator on a finite-dimensional complex inner product space V. Use the spectral…

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A: For the above waveform, we found:ao = 2an = 0bn = 4/nπ , where n = oddUsing the above results, we…

Q: 3. y'-2xy = x² + y² { y=tan(x+c)-x}

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Q: 9. In each part, which function grows faster? Prove your answer using infinite limits. (b) Homework.…

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