Let f (z) = 3. Let C¡ be the circle |z| the square with vertices (4, 4) , (–4,4) , (–4, –4) and (4, –4)in the counter-clockwise direction. = 6n the counter-clockwise direction, C, the circle |z – 7| = 6 in the counter-clockwise direction, and finally C3 Part (a) 1 What is 2ni L f(2)dz? Part (b) 1 What is 2ri f(2) dz? Part (c) 1 What is 2ni f(2) dz?

Q: Let f (2) = . Let C be the circle |2| = 2 in the counter-clockwise direction. What is | f (z) dz?…

A: This problem based on Cauchy's Integral formula. See the solution.

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Q: Which of the following points is inside the circle whose equation is (x – 8)? + (y – 5)² = 36 (3,11)…

A: We have to check which points is inside the circle whose equation is  (x - 8)2 + (y - 5)2 = 36 Let ,…

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A: The given equation of circle is: y2+(x-3)2=49

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Q: If the points A(4,3) and B(x,5) are on the circle with center O (2,3),find the valoe of x

A: Distance between O and A = Distance between O and B = radius.

Q: Find the center of the circle 4x? + 4y?+ 24y – 4x – 35 = 0. O (3, 1/2.) O (3/2, -3) NONE OF THESE O…

A: Given the equation of circle  4x2 + 4y2 + 24y + 4x - 35 = 0 We need to find centre of circle. As we…

Q: In the diagram, A is located at (0, 0), G is located at (5, 4), and I is located at (8, 4). Find the…

A: Given points: A is (0,0) G is (5,4) I is (8,4) Let the length of AC be 2a. Therefore, AF = CF = a…

Q: Evaluate (x+ y)ds, where C is the top half of the circle x² + y² = 4, oriented counterclockwise.

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Q: What statement(s) is(are) true about the circle below? (x- 4) + (y - 7)² = 16 O (3, 8) is outside of…

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Q: Let f (2) = . Let C, be the circle |2| = 7 in the counter-clockwise direction, C, the circle |z – 8|…

A: Complex integration

Q: Circle R is defined by the equation (- 3) +(y-5)² = 4 Which of the following points lie on the…

A: If (x,y) lies on the circle then it satisfied the equation

Q: Write the equation of a circle where the center is (-1,2) and a point on the circle is (-6, 2). OA…

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Q: B: Determine whi 10. (1, 4)

A: Given equation of the circle is: x-42+y+12=16 We have to find the points contained by the above…