In tie 4.43. Evaluate ⓑndz/2-2 around (a) the circle z 2 = 4, (b) the circle II = 5, (c) the square with vertices at 3 + 3, 3 ± 3i l. 4.4

Q: 12: A tangent to the circle x² + y? = 5 at the point (1,2) and th circle x? + y² – 8x + 6y + 20 - A)…

A: Given that  A tangent to the circe x^2+y^2=5 at the point (1, 2)

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A: Please refer the attached image for complete solution.

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Q: 8 If C is a circle of radius r with centre z,, in the complex z-plane and if n is a non-zero…

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Q: Let C be the shortest path that connects a to ni and I = S, (coshz – 1)dz. Then %3D O I=-sinh n+…

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Q: 1. Find the area of the part of a petal of the four leafed rose r = circle of radius . | cos(20)|…

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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'

A: In the question it is asked to take a mirror image of triangle ∆JKL about x=4. Coordinates of…

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A: Area is calculated as shown below

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: 29. Calculate /| (xy +e*)ds, where S is the triangle in Figure 18 with vertices (0,0, 3), (1,0, 2),…

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Q: 1. F, (2х — у)аА, D está acotada por el círculo con centro en el origen y radio 2

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Q: Q3 Finel the Foulier Expensian of Hhe funchien delund in a Sigle Porial by he voladons. %3D |

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Q: 8 (6562) 243 를-), then xo = If the length of the curve y = 3 x7 from the point (0, 0) to the point…

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Q: 3. Let C be the circle Iz| = 3, described in the positive sense. Show that if 2s2-s-2 ds (Izl # 3),…

A: Given: g(z)=∫C2s2-s-2s-zds

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

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Q: Find the length of the curve y = In(e - 1) – In(e + 1), In 2 sxsIn 3.

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Q: Example 8.10. Evaluate Sº (ii) Simpson's 1/3 rule, (iii) Simpson's 3/8 rule, dx Jo. 1 + x² by using…

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Q: blem 11.10. Find the arc-length from (-3, 4) counter-clockwise to 3) along the circle r2 + y? = 25.

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Q: 4.) Find the area inside the circle r=v2sin (0) and the lemniscate r2 = cos(20)

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Q: and 3 point Gauss Quadrature 2 By using e sfim afe : 2 dx メ-2 い)S, dx Nx

A: The given problem is to estimate the integral using 2 point gauss quadrature rule and 3 point gauss…

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: Find the length of the curve r (t) = 3ti + square root of 3t^3 k in [0,1]

A: Given r(t)=3ti+3t3kfirstly, we have to calculate derivative of r(t)r'(t)=3i+9t223t3kNow, let find…

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Q: Which of the following(s) is/are applicable to solve 3edx – 6.xe¬dy over triangle whose vertices are…

A: The methods to solve the given integration are

Q: Find the areas of the regions . 1. Shared by the circle r = 2 and the cardioid r = 2(1 - cos u) 2.…

A: Hi! You have uploaded multiple questions. As per norms, we will be solving only the first question.…

Q: Q2. In the circle Izl = 1, Find the upper bound for 1924+327+2

A: pleas see the next step for solution

Q: Calculate / Ss (4xy + e- )dS, where S is the triangle in Figure 1 with vertices (0, 0, 3), (1,0, 2)…

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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: 3. Given that LN 1 PR and that O is the center of the circle PLR, then use a theorem previously…

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Q: 2 Green's theorem, evaluate ((+) dx + 3xy dy where C is the circle * +y = 4.

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Q: Consider the Taitral value problem b-)y (0)=1 what con you say about the existence ond uniqueress of…

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Q: show that the Pio Diophant ine equation 2x -5y= | has no integer Selutions .

A: Given, 2x²=1+5y² Here 5y2 is a multiple of 5 ending in digit 5 or 0. 2x2 can end in 1 or 6 But no…

Q: Find the areas of the regions Inside the lemniscate r2 = 6 cos 2θ and outside the circle r = √3

A: Given that: r2=6cos2θ,     r=3 To calculate the points of intersection,   Set the given equation…

Q: Find the areas of the regions in Exercises : 1. Shared by the circlesr=2 cos 0 and r = 2 sin 0

A: NOTE: According to guideline answer of first question can be given, for other please ask in a…

Q: n of eY dydx ? 0.

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Q: . What happens when we multiply x by a number between O and 1? . In order to obtain a reflection…

A: Given query is to provide information regarding effect of multiplying and reference for a function.

Q: Hiw/ solve the çoll owingtoup ģ+5 - by co with I.e ylo1=-12 ylos. ý LoJ=53

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Q: 2. Use Green's theorem to evaluate fe e-x³ dx + (5x + sin(y²)) dy, where C is the circle x² + y² = 4…

A: Please see the below picture for detailed solution.

Q: 12. What is the resulting image of L' after a reflection about the y-axis? Rule: K IN

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Q: 2.18 Obtain the canonical form for the following elliptic PDES: a?u a?u (a) ax? дх ду ay? a?u a?u du…

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Q: 5-Vx+25 limr→0

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Q: 2.2 Find upper bound of zp (z- 3i)3 + 1 where C is the circle |z - 3i = 4. 2.3 Use the Cauchy…

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Q: a. Let z1 = 2 – 3i, z2 = 3 + 4i and z3 = 1– V3i. Find z1z2 + z3 then sketch it on Argand diagram.

A: Simplify Z1Z2 + Z3 in simplest form and convert it into polar co-ordinates.

Q: Let C be the shortest path that connects a to ni and I = ſ, (sinhz + 1)dz. Then |=-1-cosh n+ n(i-1)…

A: First option is correct.

Q: Let C be the shortest path that connects n to ni and I = S. (sinhz + 1)dz. Then O I=-sinh n+ Ti(i-1)…

A: Option C true.

Q: r = √3 − 2cos θ.

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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

Q: Suppose NOL -> QRM is a reflection across the x-axis. If O(1, 9) what is the y coordinate of R?

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