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

Q: Calculate (2 + x²y) ds where C is the upper half of the circle x² + y? = 1 (y>0) -1

A:

Q: Evaluate | dz where c is the circle z| = 2. z (z+4)

A:

Q: 4. Evaluate y ds where C is the upper half of circle x? + y? = 9, traversed in the counterclockwise…

A:

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

A:

Q: [19] Find the center and the radius of the circle x + y – 8x+ 2y+13= 0. Work:

A:

Q: 4- Find the center and radius of the circle: x² + y? + 4x – 6y – 3 = 0

A:

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

A:

Q: Find the center and radius of the circle x2 + y2 = 6y + 16.

A:

Q: Find the equation of the circle in standard form satisfying the given conditions: C(7,4) externally…

A:

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

A:

Q: (c) Evaluate L A – 423 + 4z² dz where C is the circle |z – 2| = 1. , z4 – 4z3

A: Given,       ∮C4z+2z4-4z3+4z2dzwhere C is the circle z-2=1

Q: (b): §. (x* – 2y³)dx + (2x³ – y*) dy, where C is the circle x² + y² = 4.

A:

Q: 23. In the diagram, O is the centre of the circle. AK is a straight line and TK is tangent. If ZCTK…

A:

Q: 4. Consider the circle with two intersecting chords. D B x+10 3. E

A: Given two intersecting chords.  Let the intersecting point is C.  Thus AC = x + 10 CB = 3 DC = 8 CE…

Q: Find the center C(h,k) and radius (a) :of the circle x² + y° – 4x – 4 C(4, 3/2), a = 5 O С (4, 0), а…

A: Solution:-

Q: Find the extreme values of ƒ(x, y) = xy on the circle x2 + y2 = 1

A:

Q: 8., (x + y) dA, where R is the region that lies to the left of the y-axis between the circles x? +…

A: As you have asked to answer question 8, we will answer question 8.Question 8.The given integral…

Q: 6. Let C C R? be the positively-oriented boundary of the graph of the circle x2 + y? = 1. Using…

A:

Q: A circle whose equation is x2 + y2 + 4x + 6y – 23 = 0 has its center at ______.

A: Given equation,

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

A: i have used the parametrization of circle  |z|=2 , z=2e^it where 0<= t <=2pi and the…

Q: If one end of the diamtere of the circle x2+y2-5x-8y+13=0 is (2,7) .then find the other end of the…

A:

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

A:

Q: ST ry² ds where C' is the right half of the circle x² + y² = 9 Evaluate

A:

Q: _23. What is the equation of the circle that passes through (4, 2) with center (0, -1)? x2 + (y –…

A: Here we find the equation of circle which passes through (4,2) with centre (0,-1)

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: Evaluate O (6y+x)dx+(y+2x)dy where C is the circle (x-2)²+(y-3)² = 4 Without using Green's Theorem.

A: We will find out the required value.

Q: 3. If y = 7x cuts the circle x² + y² = 50 at A and B. Find the coordinates of A and B. %3D %3D

A:

Q: 19.) Question is attached!

A:

Q: b) Let C be the circle |z| = 4 traversed once in the positive sense (counter clockwise). Compute : P…

A:

Q: 4. Let C be the the circle ² + y² = 4 and Calculate the work(W = [,F dr when C is traversed in the…

A:

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

A:

Q: Evaluate xy? ds where C is the right half of the C circle x? + y? 4

A: C is the right half of the circle: x2+y2=4. Therefore use the parametrisation: x=2 cos t y=2sin…

Q: Evaluate f. y3 dx - x3 dy where c is the circle x2 + y2 = 4

A:

Q: 2z-3 3. Jc 3-372+4 dz, where C is the circle |z| = %3D counterclockwise.

A:

Q: 15. Complete the squares on x- and y-terms of the circle: 4x + 24x + 4y + 36y =0. SLO 12

A:

Q: In the diagram, O is the center of a circle with OU= OV, and %3D XY= 13 cm. 国 Y

A: YZ=13 Because XY and YZ at the same distance from circle's center.

Q: Evaluate f.y ds where C is the upper half of circle x? +y² = 9, traversed in the counterclockwise…

A:

Q: 6. Compute G.T ds if K is the portion of the circle x2 + y* = 7 in the third quadrant (oriented…

A: region of integration is part of circle, x2+y2=7, lying in 3rd quadrant, thus, limits of x,y are -7…

Q: ㅠ Use Green's theorem to find: where C is the circle x² + y² = 4 going counter-clockwise. -8T […

A:

Q: Consider the circle with two intersecting chords. D x+2 x-1 x+5 Solve for x. 1.

A:

Q: If the radius of the circle x2+y2-8x+10y+k=0 is 9. Then find the value of K

A:

Q: 13. If Y is the center point, YZ = 9, and XYZ=120, what is the area of sector XYZ in this circle? X…

A:

Q: 11. What are the center and radius of the circle given by x + y + 22x + 18y 14 0? O (22, 18); 14 O…

A: Solution: The objective is to find the center and radius of the given circle

Q: (i) Evaluate $.z'dz, where C is the positively oriented circle |z- 1| = 1.

A:

Q: Find the center C(h,k) and radius (a) of the circle 9 4x - 4 .2 x² +y - %D

A:

Q: 2. Consider the circle below. 12 А Y G M 4 S 7 B

A:

Q: 2 Find -dz where C is the circle z - 5 =2 traversed once counterclockwise. z - 5 4 Ti - 4 Ti 5 x 2…

A: