2 10 급fe| 310 dwhere C is the circle |z+ 3i| = 10 + 2, 0 < 0< 2n Evaluate z+3i (z+3i)

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A: Here we have to sketch the graph for the following function. i) 6x2+2y2+3z2=6j) z=x2+y2k) z=x3+y2L)…

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Q: 2.3 Use the Cauchy integral formulae to evaluate 22 – 1 (9 – 22)(z + 2i))3 where C is a circle |z +…

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Q: Evaluate 8 1 Ti fc 101 dz , (z+10i)³ ] z+10i where C is the circle |z+ 10i| = 1 + 8, 0 < 0 < 27 .

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Q: 3(2x + 1) = 5(x - 4) BOTH SIDES on both sides In the umn, circle the equotion to sh 1 5+ (6x + 9)…

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Q: 5. Triangle JKL with verfices J(1,-1). K(2, 3), and L(3, -2): x=4 J': L': K'

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Q: 4. Let C be the circle |z| = 3 traversed once in the positive sense 2z-17 (counter clockwise).…

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Q: 1 Evaluate 4 7 27 + z + 2i dz, (z + 2i) 3 C where c is the circle |z + 2i| = 7 + 4, 0 s 0 < 2n. %3D

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Q: 2.2 Find upper bound of 2+4 (z - 3i)3 +1 where C is the circle |2 – 3i| = 4.

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Q: 2. Prove that there are no rectangles in S2. More precisely, prove that if A, B, C, D E S² form a…

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Q: 82 20 20 XCOS Z Evaluate dzdydx. and the sphere

A: Let's find.

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Q: Suppose n is an integer and z-z =r is a contour traversed once in counter clockwise , then n dz = 2…

A: Cauchy's integral formula can be stated as follows.

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Q: 2.2 Find upper bound of 2+4 (z – 3i)³ + 1 where C is the circle |z – 3i| = 4.

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Q: The base of a three-dimensional figure is bound by the circle x² + y² = 9. Vertical cross sections…

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Q: 1 Find the upper bound of (z-1)2 +5 where C is the circle |z – 1| - 2.

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Q: 5.1 Find the upper bound of (z – 1)? + 5 where C is the circle |z – 1| = 2.

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Q: Prove that z'e'-z = 1 has exactly two roots inside the circle |z] = 1.

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Q: 4 3 Compute o dzwhere C is the circle 2- i = 2 traversed once z+2i (2- 2i), C. counterclockwise…

A: By cauchy integral formula we can solved the problem

Q: 3 If C is a circle of radius r with centre z, in the complex z-plane and if n is a non-zero integer…

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Q: 7 74 12. eint) Prove that (-",) lies on the unit circle. 6.

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Q: 23 +3 Evaluate the integral dz, where C is the circle (a) |z + 3| = 3, (b) |z| = 3, (c) |z| = 7. 22…

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Q: 5. If z is any point on the circle |z1 – 2| = 2, then prove that - 2 arg(z – 2) = 2 arg z = arg (z²…

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Q: 3. 2. If A is 2x2 matri x aud Á = A, but %3D A+ A. show that A= 0

A: The solution is :

Q: 3) Prove that A is uniform pentagon and B is a half of a circle, also determine the areas of A & B.…

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Q: i fc 78 8 Evaluate dz, where C is the circle |z+ 7i| = 8+6, 0<0< 27 z+7i (z+78)"

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Q: 1. [7.5] Using Cauchy Residue Theorem, evaluate 2z+ 22 + where the contour C is the circle |z – i| =…

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Q: '99 '37 37 XCOS Z Evaluate dzdydx. and the sphere

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Q: R.2. Prove that if A and B – C are disjoint, then AN BCC.

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Q: 4. Use the algebraic description to find the image of AMNO). (x, y) → (x + 2, y - 3) M y

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Q: 3.1 Show that upper bound of fe dz, where C is the circle |z + 4 – il = 7. z+5i-1

A: The given problem is to find the upper bound of the given complex integral over the region of circle