By Green's theorem, if C is the circle z+y =D4 taken anticlockwise, then 'dy, equals

Q: 22 Calculate 8 - z dz, where C is the circle of radius 7, centre 0, negatively oriented.

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Q: Given circle Z with tangents XW and XY, what is measure of arc WVY

A: We need to find measure of the arc WVY. We shall use the relation between Circles and angle between…

Q: Given line YZ tangent to OJ at point Y and mzWYZ = 119, what is the measure of arc WXY %3D Y W X.

A: Measurement of arc is the angle subtended by arc at the center of circle.

Q: Determine a∈R such that ∫CF⋅dr = −2−(3π/4), where F (x, y) = (ay, (x^2 − y)/2) and C is the part…

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Q: B) Use Green's Theorem to evaluate /F-dr, where C is the circle r² + y? = 4 and F (r, y) = (y – 2…

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Q: Evaluate the line itegral where C is the upper half of the circle z +y = 3.

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Q: Choose the correct answer 1- The circle x+y 1, this mean :- a- C= 0,0, R=2 b- C= 0,0. R=1 c- C=1.1,…

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Q: Here is some information about Circle J. • VR is tangent to the circle. MZXJT = 130° MZRST = 46° m…

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Q: By Green's theorem, if C is the circle x2 + y? = 4 taken anticlockwise, then fv dz - z'dy, equals…

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Q: e? – 1 (b) ( - 1y2 dz where C is the positively oriented circle |2| = 3. %3D z(z – 1)2

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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 curvature k of the circle C : (x – 2)² + (y + 3)² - at the point (5, 1).

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Q: T. 9. TO = PO 10.Sector of a circle is the region bounded by two radii and their intercepted arc.

A: here we check whether the given statement is true or false.

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: Use Green'sTheorem to evaluate O ydx – xdy where C is the circle with center at the origin and…

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Q: If C is a circle of radius 8 centered at the point ( 0, 5 ), then evaluate pain(2dr + (11æ sin(y*…

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Q: Jc z + 1 dz, where C is the right half of the circle |z|=1 from z = -i to z = i

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Q: 1) Evaluate F dr where F(r,y) = ri and C is the half of the circle %3D ²+y 3 16 lying below the…

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Q: Set up and simplify (but do not evaluate) : 3x ds, where C is the arc of the circle r2 + y² = 4 from…

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Q: If C'is the circle of radius 3 centered at the origin, starting at the point (3,0) and moving around…

A: Answer and explanation is given below..

Q: .If C is the circle (traversed once counterclockwise) of radius 2 with center at z = 0, %3D 7e?…

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Q: CSCZ dz Where y is the circle 12- il =

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Q: Evaluate the line integral 3xy® ds, where C is the right half of the circle x? + y? = 36.

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Q: Use Green's theorem to evaluate O -x²ydx + x°dy, where C is the circle x? + y? = 4 with a…

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Q: Evaluate F dī , where F(x, y) = (e* +x² )î +(e' – xy²)ĵ and C is the circle x² + y2 = 25, oriented…

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Q: =2) Calculate & ydx + xz² dy - zy³ dz, where c is the circle x² + y² = 4, Z=3 (conterclockwise)…

A: We will use stokes theorem to find integral

Q: Given central point C of the circle with AC - 7 that is a bisector BH, calculate HJ when CJ is equal…

A: Given

Q: Integrate counterclockwise around the circle |z – 6i| = 3. z(z – li)? - NOTE: Enter the exact…

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Q: By Green's theorem, if C is the circle r + y = 4 taken anticlockwise, then z*dy, equals -27. none of…

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Q: Find the curvature k of the circle C: (T – 2)² + (y + 3)² = 25 at the point (5, 1).

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Q: Please evaluate (3y – einl2) dr + (7x + V yt + 1) dy, where C is the circle x² + y² = 9. Hint: use…

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Q: Demonstrate that the circles (x – 2)? + y² = 2 and x? + (y – 2)2 = 2 share tangent at point (1, 1),…

A: Here we will apply the concept of finding the equation of tangent to the two circles at point (1,1).

Q: where y is the circle {|z – 2| = 1} with counter clockwise orientation. (b) cos(2) -dz, 22 + 2iz – 1…

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Q: Please evaluate P (3y – esin(@)) dx + (7x + Vyª + 1) dy, - where C is the circle x2 + y? = 9. Hint:…

A: See the details solution in below

Q: Compute the following: = 4 located in the first quadrant. (a) S x ds where C is the portion of the…

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: Find the curvature k of the circle C:(x – 2)2 + (y +3) = 25 - at the point (5, 1).

A: circle equation is x-22+y+32=25 and point 5,1find curvature k

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: 2. Use Green's Theorem to evaluate (7z +y) dy - (r² – 2y) dz where C is are the two circles as shown…

A: theorem:

Q: 17. Evaluate OF . • dr where C is the circle x +y² = 1, z = 0 and F=yi+zj +xk.

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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: If C is the unit circle centered at the origin and oriented counterclockwise, then Lo -y - x) dx +…

A: Since the C is the unit circlr centered at the origin and oriented counter clockwise.we have to find…

Q: z+i dz , where T is the circle Iz – 3i| = 1 traversed once (2) Compute counterclockwise.

A: The general form of a complex number is given by z=x+iy, where x,y are two real numbers and i=-1.…

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: Evaluate the contour integral and use appropriate graphs to illustr where is the circle with…

A: Given : ∮e2021zz2+1z2-1dz To Find : (a) z-i =1                                                     b…

Q: RS is tangent to the circle at N. K 16. If m LK = 105, then m Z PNL = 17. If mPN m L PNR 100, then m…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Evaluate ds where C is the upper half of the circle centered at the origin with radius 1 with the…

A: Draw the curve C:  Here, we divide C in two parts:  C1 represented by the curved part C2…

Q: Calculate 8-7 dz, z(4- z) where C is the circle of radius 7, centre 0, negatively oriented.

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Q: 28 In the diagram below of circle O, secant ABC and tangent AD are drawn. 12.5 C

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Q: If C is the circle of radius 3 centered at the origin, starting at the point (3, 0) and moving…

A: -81π/2