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

Q: A circle has a diameter AB, and it's center is at (-3,3). Point A is at (1/2, 6). Where is point B…

A: Given AB is diameter of circle and center is at  ( -3 , 3 )     and point A is at   12 , 6Assume…

Q: A circle has its center at (3,-2) is tangent to the line 3x+4y-26=0. Compute the point of tangency…

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Q: .2 Use Green's Theorem to evaluate x-ydx - xy² dy , where C is the circle x +y² = 9 with…

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Q: 1 Evaluate 2 4 |dz , (z+ 5i) 3 niPc54 + Z+ 5i where C is the circle |z + 5i| = 4 + 2, 0 s 0 < 2n .…

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Q: 17. Concentric with the circle (x – 2)² + (y – 1)² = 4 and passes through (4, –1) %3D

A: Given, Concentric with (x-2)2+(y-1)2=4 and passes through (4,-1) General equation of circle is…

Q: 47. Sketch the triangle with vertices at the origin 0, P = (3,3,0), and Q = (0, 3,3), and compute…

A: The triangle OPQ formed by the three points P (3, 3, 0), Q (0, 3, 3) and origin O (0, 0, 0) is shown…

Q: Use transformations to show that circle A with radius r is similar to circle A' with radius r'. A'

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Q: 2. Evaluateſ. a+ (z+30:) dz along C which is the circle |z + 3i| = 3, counterclockwise. %3D (z+3i)

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Q: **#1.) In the diagram above of circle A, FB and FC are tangent to circle A at B and C respectively.…

A: Please rate and feel free to ask any query about any part of the question,

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

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Q: In the following sketch, AF|| BE. Prove that ACDF is a cyclic quadrilateral.

A: Quadrilateral ABEF and BCDE are cyclic, hence, as opposite angles of cyclic quadrilateral are…

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

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Q: 4. Let C denote the circle |z – 2i| = 1, taken in the usual counterclockwise orientation. Compute by…

A: Given: Let C  denote the circle z-2i=1 z-2i=1x+iy-2i=1x+iy-2=1 So, Centre of circle will be 0,2 and…

Q: 글 36- +| de. 1 4 dz, (z+3i)³ ] Evaluate - z+3i where C is the circle |z+ 3i| = 6 + 4, 0 < 0 < 2ñ .

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Q: Calculate the area of the circle r = 3 sin θ bounded by the rays θ = π/3 and θ = 2π/3.

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Q: Find the areas of the regions in Exercises : 1. Shared by the circles r = 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: 5.2 O is the midpoint of the circle below. 0 1 5.2.1 Why is Ô, = Ô2. %3D www 5.2.2 Prove ABO = DCO.…

A: Vertical angle: Vertical angles are angles opposite each other where two lines cross and they are…

Q: 2. Find the DE of all circles with center on thex - axis.

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Q: Find the area of the intersection of the circles r = 3 sin(0) and r = 3 cos(0).

A: Given the equation of curves r=3sinθr=3cosθ

Q: 5 – 4z Show that the reactiob w= transformation the circle z =1 4z -2 in to a circle of a radius…

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

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Q: What are the (x, y) coo

A: we can find the coordinates using the trigonometry- x = rcosθ = cos(2π/3) = -0.5 y = rsinθ =…

Q: Below A JKL was rotated 270 counterclockwise about point J to create AJ'K'L What would be rule that…

A: Given:

Q: Compute . Z+1 dz, where C1 is a part of a circle with r = 3, and 0<0< %3D

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Q: Use Cauchy's Integral Theorem to evaluate fr 12z-3(2-42 dz where I' is the circle |z| = 2 described…

A: Given ∫ez2z−3z−42dzWe know the formula ∫fzz−an=2πin−1!fn−1aWhere 'a' is pole of order nGiven region…

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: se I draw 20 circles in the plane, all passing through the origin, but no two tan eorigin. Also,…

A: Imagine the drawing of your n circles as a plane graph. The intersections of the circles are the…

Q: In a 2-dimensional space, the line element is given by: ds2 = de2 + sin²ed¢2 determine the angle/s…

A: In a 2-dimensional space, the line element is give by ds2=dθ2+sin2θ dϕ2 To find the angle of θ, if…

Q: b) |Im(z)dz, where C is the circle |2| = 2 traversed once counterclockwise. %3D

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Determine the exact soluticn of the for -TTLOLTI (restrictions) equation sect©-2=0,

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Q: Find the radius of this circle. 5- 4- 3 2 -6 -5 -4 -3 -2 -1 0 -1 -8 -7 O 6V5 O 3/2 O 2/2 O V2

A: Basics of Geometry are used.

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

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Q: Express the circle specified by x=2cos(θ)y=1+2sin(θ)x=2cos⁡(θ)y=1+2sin⁡(θ) in Cartesian coordinates…

A: Let's find.

Q: Exercise 5 Consider the following triangle. V- proju(v) 1. Prove that the area of this triangle is…

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Q: 28, Find the equa tion of arcle with Centre c(2;3) and touches the x-axis.

A: By using equation of circle formula, we find the required equation of circle.

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: Use Green's Theorem to evaluate - – In(x² + y²))dx + 2 tan¬²(y/x) dy, C is the circle (x - 4)² + (y…

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Q: Use Green's Theorem to evaluate §+(x² - y²)ẩx + xảy, where C is the circle x² + y² = 9. Select one:…

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Q: Express the circle specified by a = 2 cos(0) y = 1+2 sin(0) in Cartesian coordinates and find the…

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Q: Express the circle specified by r = 2 cos(0) y = 1+ 2 sin(0) in Cartesian coordinates and find the…

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Q: 20 А (3, 4) B In the xy-plane above, point O is the center of the circle. If arc AB has a length of…

A: Answer is mentioned below

Q: Show that = sin t if t>0 and C is the circle z] = 3. 2mi Jz+1

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Express you answer in Mdx + Ndy = 0. 1. Circles whose center is passing through y = 4x %3D

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Q: 9. Determine the image of the circle z +- 2 P 1 2 3i under w(z) ==+l+i. Z

A: Note: Hi! Thank you for your question. As per the guideline we can solve one question at a time in…

Q: - Show that the distance r from the origin O to the point P(Coshu,Sinhu) - on the hyperbola x-y 1 is…

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Q: Find the area of the intersection of the circles r = 3 sin(0) andr = 3 cos(0).

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Q: Prove that if 0 < x < 2r, then a circle of radius r has a chord of length x. (You can do this using…

A: According to given ,only 1st solved....Radius of circle = r

Q: Spf(2)

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