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

Q: -z Q2. In the circle |z| = 1, Find the upper bound for 9z4+3z²+2l

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Q: .) what is the remainder when 1't2°+ 33 t... + 1000° is divided by 6.

A: We need to find the remainder when 13 + 23 + 33 + ........ + 10003  is divided by 6. We know that ,…

Q: - Show that the equation of the circle passing through (1, 1) and the points of intersection of the…

A: we need to show that equation of circle passing through (1,1) and point of intersection of given two…

Q: Ex(6):-(H.W) Find the center and the radius of the circle whose eq x'+ y' +x+3y 7

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Q: ¤1 + ag – r3 = 0, -2r1 – 12 + 5r3 = 0, -#1 + 4.x3 = 0 find the Rank(A), where 1 1. -1 A = -2 -1 -1…

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Q: Find the equations of the normals to the circle x² + y² − 8x – 2y + 12 = c a t the points whose…

A: Solution:- Given circle is x2 + y2 - 8x - 2y + 12 = 0 Putting the ordinate, we get the abscissa…

Q: The domain of y = arcsinx is: -13x<1 all reals O-I to !

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

Q: Show that 25+ 2z² + 3z + 2 has five zeroes inside the circle |z| = 2, and determine the number of…

A: If f(z) and g(z) are two analytic functions within and on a simple closed curve C such that |f(z)|…

Q: 4.72. Show directly that 3+4 (62² +8iz) dz has the same value along the following paths C joining…

A: Given Data: Let us consider the given data, ∫3+4i4-3i6z2+8izdz' (a) a straight line  (b) the…

Q: Which of the following would be the positive x-coordinate where the line y=x+3 intersects the circle…

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Q: Solve the D. E. to the I. V. P. sinx(e-y + 1)x' – cosx = 1, y(0) = 0 %3D %3D (1 – e') (1 + cos.x) =…

A: We will find out the required solution.

Q: Using the Residue Theorem, or otherwise, compute z-7 z²+z-2 dz, where C is the positively oriented…

A: Let  fz = z-7z2+z-2           Consider  z2 + z - 2 = 0…

Q: Q4. equation of circle x² + y² - 6x-2y +6 = 0 2 )2 (x-3)² + (y-13² = 4 circle with center line y =…

A: Note: As per your request, the solution is in digital format is given below.   Q4.  Equation of…

Q: If A(x₁, y₁), B(x, y₂) and C(x3, 13) are the vertices of triangle ABC and x+y=x2 + y2 = x3 + y3,…

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Q: 1 dr. + 58 Find 22 – 14x Choose 1 answer: 1 A -arcsin +C 21 3 1 B © jaresin (",") ic +C 3 O wetan ()…

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Q: Compute ,f for f(2) +6 + 6i, positively oriented. sin(32) and path 2 that is the boundary of the…

A: Let's see the method of integration. We use residue method to solve this integral.

Q: 2) sin(r) dA, R is the triangle with vertices (0,0), (2,0), and (2, 4). R.

A: First finding the line equation And drow the region in figure

Q: hnd the absolut max and min funcion fx,y)=(48x-lax²)cos L ón the rectangular Plate 1と×-3,-sys IT 4…

A: Absolute maximum and minimum: - Assume that f(x) is defined on interval I. 1. IfxM∈I and  f(x)≤f(xM)…

Q: 1+iz : If w = Find the im age of z|<1. 1-iz

A: Let the transformation be f(z)=w, in which x-y plane is converted into u-v plane.  Where z=x+iy and…

Q: Draw the bifurcation diagram for i = (x – 3)(c + x)

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Q: Example 1 Let ab 6 R by at b 2 define buti 31 11 ant bn + of 2 Such that 94 = √ab 04 a <b anti = Van…

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Q: Q5: Evaluate f 5+3z² +5 (z-21)³ dz a) where C is the circle |z4i| = 1 b) where C is the circle |z -…

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