evaluate the integrals around the circle Iz| = 2, counterclockwise. 9) 1 = dz, Find |I| 4z2+9 z+1 8) 1 = dz. Find |/| z+i 10) I = sin z dz, Find |/| z3+z2

Q: Q3] Find the value of contour Integral if C is the circle |z1| = 1 e²z dz z3z² + 4z - 4 C

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Q: -3- Identify ALL the new coordinates of polygon ABCD after a translation of 2 units up and 4 units…

A: I'm providing hand written solution for better understanding. It's translation of coordinate…

Q: In the figure, C is the right half of the circle ; x+²= a² where a>o. Find the 2 Value of provided…

A: The given question is from the topic of application of Derivatives

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A: To find the point B if Coordinates  of A are given for the sphere.

Q: I. (a + y?) da dy dz; 2: 2<4-a? - ở, z 20 (x².

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Q: 20. Find curl(F), where F(x, y, z) = xyz¹i+x²zªj + 4x²yz³k. a) (-4xyz³)j + (xz¹)k b) x²yj+xz¹k c)…

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Q: Verify greens theorem form 1 for F=x^3i+yj and c is the circle x^2+y^2=1, oriented anti clockwise

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Q: Find the points on the cone 2² = x² + y² that are closest to the point (3,-3,0)

A: Cone Equation: z2=x2+y2 Given point: 3,-3,0 To find: the points on the cone nearest to the given…

Q: с Solve for D B Same point B 130 A LACB LCBD LABD с сва Using circle Theorem.

A: Given information:  Aim:   Using Circle theorem.

Q: Where an Interior point Exists?

A: Interior point: Let S⊆ℝn.  A point a∈ℝn is said to be an Interior Point of S if there exists an…

Q: Find all angles between 0 and 2T satisfying the condition -1 Cs x = Separate your answers with…

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Q: Q2/ Check the symmetry of r² = -sin(20) %3D Ans./ Symmetry about the origin

A: Symmetry

Q: Consider a right triangle whose sides are under the coordinate axes and the hypotenuse under the…

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Q: +y²)dx + (x² – y²)dy where C is the triangle with vertices (0,0), (2,1) and (0,1).

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Q: In each case, determine if ₁ and ₂ are parallel, perpendicular, or neither. Explain. a) ₁: 4x-6y=9…

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Q: 9. If ABC is an acute angled triangle then the minimum value of sin A + (1 -sin A)* + sin B + (1-…

A: Claim: for 0≤x≤1, f(x) = x⁴+(1-x)⁴ is minimum when x = 1/2  Proof: f(x) = x⁴+(1-x)⁴  So, f'(x) = 4x³…

Q: Sketch the triangle with vertices O, P = (7, 0, 7) and Q = (3,0, 3) and compute its area using…

A: To find the area of the triangle using cross product method when it's vertices are given .

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: 2. Find the area of a parallelogram defined by PQ and QR when P = (4, 0, 1), Q = (5, -3, 0), and R =…

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Q: The circle of radius 1 centered at (-3, 4,1) and lying in a plane parallel to the yz-axis is a)…

A: The circle of radius 1 centered at (-3, 4,1) and lying in a plane parallel to the yz-axis is Then x…

Q: 22) The given equ" of the circle (x+12) ² + (y + 5) ² = 169 Here centre of the circle ins (-12,-5)…

A: The following is the digital format of the given text.

Q: What is the distance from point to the line 18/0 23 2√6 3 V30 3 P(1,1,1) [2+t] 1-4 = 2-t 3 + 2t

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Q: Prove that the length of common chord of the two circles x + y² + 22x + c = (2² -c)(µ² +c) 2² + µ? O…

A: We will prove that the length of the common chord is the given term as following.

Q: EXERCISES #1 Identify the center and radius of the circle with the given equation in each item. 1)…

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Q: 1) Find area inside the circle r 4cose and to the right of line r = sece %3D

A: As per our guidelines we are supposed to answer only one question. Kindly repost other question as…

Q: 2) x² + (v + 2)² = 25 Center Radius

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Q: What are the four main end points to the circle x2+y2-10x+8y+25=0 (show work)

A: Question is solved.

Q: Find the image of the circle /z/ 4 under f(z) = Lnz %3D 5-(15pts) Evaluate S-3/2

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Q: TRANSCRIBE THE FOLLOWING TEXT IN DIGITAL FORMAT

A: The given equation of the circle is       (x - 2)2 + (y - 8)2 = 25  . . . . . . (1)  whose center is…