-dz 22 + 4z Use Cauchy's theorem or Cauchy's formula to compute integrals and -dz. 22 + 4 Reme mber to justify that Cauchy's formula/theorem is applicable.

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Q: 10 23. J (2 - 1)(22 + 9) Answer

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Q: Choose correct answer for indefiınite integral S 823 – 9x2 + 4x dæ a) 24x2 – 18æ + C b) 24г? — 18г…

A: The indefinite integral ∫8x3-9x2+4xdx. We have to evaluate this integral.

Q: express on J5 by Jo & J1

A: This problem is solved by the concept of recurrence relation

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A: Step 1Complex number has two basic forms, one is rectangular form and other is polar…

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Q: 2. For F = (xz3, 2y*x²,5z?y) find: a. div F b. Curl F and find div(curl F) C.

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Q: ja √√₁²-y² Va2-22 -√a²-y²-√√a²-x² - y² √√a²-x²-y² α ,2 2 ,2 (x²z+y²z+z³) dzdxdy

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Q: For &) r 0x xi روا show that ܕܕܥ in the region where #0

A: Given that .We need to show that (a) , and (b)  in the region, where  in .We know that .

Q: 3 y`dy 3 (4 -у?): 2

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Q: Part (b) 5e Evaluate -dz by residue theorem, where C is the contour |z| = 2 6z4 +30z3

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Q: \(d\) is a metric on \(X\). Show that \(\rho : X^2 \to [0,\infty)\) defined by \[ \rho(x,y) =…

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Q: | x(1 – x)193dx

A: Proceed as shown below

Q: +9y-2x+4X +7 3X -2X =D3e te

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Q: x Q3: Show that csch-¹ (²7) = coth-¹(x+¹) x-1,

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Q: Evaluate the integral fe (2x+4) (x² + 4x + 2) dx n- by making the substitution u = x²+ 4x +2.

A: In the question we have to find the integral of the given function.

Q: TEST FOR HOMOGENEITY: 4. e √x x-2xy x - y

A: A function f(x, y) is said to be homogeneous if f(Kx, Ky) = Knf(x, y)  where n is any real number…

Q: Determine whether the function f(z)=z^2+(bar z) is analytical at z=1+i, where (bar z) denotes the…

A: Analytical functions, also known as holomorphic functions, are complex functions that are…

Q: Prove that a b π √√(x − a) (b − x)dx : = (b-a)² 8

A: To prove that,  ∫abx-ab-x dx=π8b-a2

Q: Q: Interpret the yate of change of (31+5) (4u+2) with respect (2x+3) to

A: This question related to derivative.

Q: 1. Hewrite fis) h that the mate a iend 43/6-3) 2 le your awer from part tical tes for fia) A-3 ) -3

A: Solution is given below:

Q: Give a definition of each theorem and provide two examples applying the theorem

A: note : Since you have posted multiple questions, we will provide the solution only to the first…

Q: Find [₁²² x²dA where R = {(x, y) | 4x² +9y² < 36} Question Help: Video

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Q: convolution theorum, S -1) 12 šta

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Q: Identify and sketch the domain of the function In (4-x² - y²)-√√ √(x−1)² + y² −1 f(x,y) =

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Q: 2 + v - , 2+z+ 11. 0. di

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Q: Find § 6-42 7(2+3) Residue Theorm. by

A: We have to compute the integral ∫ fzdz using the residue theorem, where fz=6-4zz2z+3. First we have…