•Evaluate radius 2 25 where c' is a circle of 5²-1 centered at origin and directed cc W ds

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: Find the distance between points Pr and Pe Pe (5,-4) and Ps (73, 2) P₂

A: Given:Two points To find:distance between the two pointsThe distance between two points  is

Q: b) Use Greens theorem to findf x² ydx – xy?dy where C is the circle x? + y? = 4 going counter clock…

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Q: Describe the image of the line z = 1 + iy under the map flz) = sin z %3D

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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

A: Find ∫CFdr, the line integral of F, where C is the circle x2+y2=1, oriented anti clock wise…

Q: Find the locus of the center of the circle touching the circle x\power{2} + y\power{2} − 4y - 2x = 4…

A: Let r and R be the radii of the required and the given circle,respectively.Let the center be…

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: Consider the circle with the equation (x+2)^2+(y−1)^2=25 Its center is (           ,         )  and…

A: GIven equation:- x+22+y-12=25

Q: Let ∆ABC be a triangle. (a) Prove that B’ lies in the interior of AC if and only if ∠BAC and ∠ACB…

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Q: Find foF dr where C is a circle of radius 3 in the plane x+y+z= 8, centered at (1, 3, 4) and…

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Q: dz Find an upper bound for 9c z4 –5z²+6 dz, where c is the circle |z| = 4.

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Q: The area of the sector of a curve having a radius of 250.00 feet and delta of 58° 32'12" is: a.…

A: Given query is to find the are of sector.

Q: Q3b): Compute zdz over several contours (i) The line from 1 to 1+ i. (ii) The circle of radius 1…

A: let fz=1z.  Since f(z) has an antiderivative in an open region D, then the line integral over given…

Q: find enclosed by following curves area Oくx(2て (a) 4= Cog x ;y=2- Cosx ; (b) y = X Sitx? Recall…

A: (a) y=cos(x), y=2-cos(x) Lets graph both equations using graphing calculator Area =∫abupper…

Q: Prove that the angle between the tangents from (a, ß) to the circle x² + y² = a² is 2tan ¹(a/√S),…

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Q: state the arder, degree, and linearity of the filowing differe ntial squtions ) ax* 9 + asx) : 3x-4…

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Q: Find the length of the curve 24ry = y' + 48, 2 <y<4 Select one:

A: We have to find the length of the given curve   the given curve is 2xy=y4+48the given interval…

Q: Find the number of common tangents to the circles x\power{2}+y\power{2}+2x+8y-23=0 and…

A: For x2+y2+2x+8y-23=0 ,C1≡(-1,-4),r=210for x2+y2-4x-10y+9=0,C2≡(2,5),r=25now C1C2=distance between…

Q: Does the product of inversion in the circle of radius 1 centered at the origin with inversion in the…

A: Does the product of inversion in the circle of radius 1 centered at the origin with inversion in the…

Q: 8. Is the point (2, –7) on the circle defined by (x + 6) + (y + 1) = 100?

A: Given the equation of a circle, x+62+(y+1)2=100                   ...(1)

Q: A secant to two congruent circles, which is parallel to the line of centers OO', meets the first…

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Q: 3. Use Green's Theorem to show that to where C is the unit circle x² + y² = 1 in the…

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Q: The curve (x-)*+Cy +1)*= 4, x 7,1 is given. First draw it in the Cartesian plore and then transtorm…

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Q: Integrate counterclockwise dz, C' the circle with z² + 8z + 15 center -3 and radius 2. dz = La z2 +…

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Q: iz Find the image of the exterior of the circle z =1 under the transformation w =1+; 1+z %3D

A: The detailed solution is given below.