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

Q: A circle in the xy- plane has equation (x – 2)2 + (y + 5)2 = 36. %3D Which of the following points…

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

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Q: Calculate the equation of the circle that passes through the point (0, -3), whose radius is V5 and…

A: we know that equation of circle (x-h)2+(y-k)2=r2  Here radius of circle is 5 ,here circle passing…

Q: Find the center and the radius of circle. x2+y2-8x+6y+21=0

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Q: Evaluate . (x² +y) dS where C is given as the part of the circle x? + y² = 9 between the points %3D…

A: given integral ∫Cx2+ydS where C is given as the part of the circle x2+y2=9 between the points 3,0…

Q: What is the equation of a circle that passes through the vertex and the points of latus rectum of…

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Q: What is the radius of the circle defined by x² + y? – 4x + 6y = 7

A: Given,           x2+y2-4x+6y=7To find : The radius of the circle.We know that,          The standard…

Q: Find ∫C (2z + 9) / (z2 + 2z - 3) where C is the circle |z - 2| = 3.

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Q: A circle has an equation of y2 + 10y + (x − 2)2 = −9. Determine its general form, center and radius.

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Q: 10. Find the center and radius of the circle whose equation is x² + 5x + y² – 6y + 12 = 0. A.…

A: To find The center and radius of the circle.

Q: The general equation of the circle is x²+y²+Dx+Ey+F=0,where D,E and F are real numbers? True or…

A: We know that, the general form of the equation of a circle is x2 + y2 + 2gx +2fy + c = 0. Here, the…

Q: z dz 2z ² +(1+i )z -i C is the circle |=|=2

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Q: 1. Determine the center and the radius of the circle whose equation is given by x' +y° – 6x +2y+2 =…

A: The solution as follows :-

Q: What is the equation of the circle whose center is at (0,0) and which passes through the point…

A: Let A(x1,y1) and B(x2,y2) be the coordinates of eand points of line segment AB.Then, Length of AB =…

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: Find the equation of the circle with center at the origin and radius v11 * X^2+y^2=v11 X^2+y^2= 11 O…

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Q: Find an equation of the circle that has center C(3, -2) and is tangent to the line y = 5.

A: We have, the center of the circle as C3,-2. Also line y=5 is tangent to the circle. As we know that,…

Q: 3x² + 3y² 6x6y + 3 = 0 is the equation of a circle with center (h, k) and radius r for: h = and k =…

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

A: Given equation,

Q: Calculate the equation of the circle which is centered at the point of intersection of the lines…

A: We have to find the equation of circle whose center is the point of intersection of lines x+3y+3=0…

Q: Find the point where the common point of the circles x2+y2=25 and x2 +y2-12x-6y+35=0 intersects…

A: This is coordinate geometry problem

Q: Find the standard form for the equation of a circle (2 – h)' + (y – k) = r² with a diameter that has…

A: To find the standard form for the equation of circle  Given the diameter that has endpoints (-10,…

Q: |xy dA, D is enclosed by the quarter-circle 20. y - 1 - x² , x > 0, and the axes

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Q: Q2 Sf(2)d2, where Sfrzidz, f(2) =(2+2) and c is Evaluate the circle 2=2e

A: C traversed  counter clockwise. If clock wise then value will be negative.

Q: D. Reduce to standard form and draw the circle whose equation is 4x^2 + 4y^2– 4x – 8y – 31 = 0.

A: topic - equation of circle in standard form graph of circle can be drawn by taking (0.5 ,1 ) as…

Q: The equation of the circle that is concentric with the circle x2 +2x+y² – 8y+ 14=0, and touches the…

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Q: Find the center and radius of the circle: x² + y² – 4x + 10y + 13 = 0

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Q: ind the equation of the circle that pass through the intersection of the circles x2 +y2 +2x +4y-4=0…

A: Here we have to find the equation of the circle that passes through the intersection of the circles…

Q: 1. The equation of the circle is x² – 2x + y² +6y =-6, its center is and th radius is

A: 1. The equation of the circle is,  x² - 2x + y² + 6y = -6 So, (x² - 2x + 1) + (y² + 6y + 9) = 1+9-6…

Q: The standard equation of the circle with center (-1,-4) :and tangent to x-axis is اخترأحد الخیارات…

A: Stranded equations of the circle passing through center (h,k).

Q: The equation of circle C is (x+3)^2+(y-8)^2%3D36. What is its radius (h,k)? *

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Q: The equation of circle C is (x+3)^2+(y-8)^236. What is its center (h.k)? *

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

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Q: z+2 Evaluate. z2-5z+6' where c is the circle |z| = 2.

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Q: x²+y*+8x -6y + 24= U %3D

A: Explanation and solutions is given below....

Q: The equation of the circle that is concEntric with the drcle x+2x+ y-8y+14=0 and touches the y-axis,…

A: The equation of the circle with centre at (a,b) and radius r is (x-a)2+(y-b)2=r2

Q: 3. Find the equation of a circle with center at (2, 3) and tangent to the line 3x – 5y = 8. а. 2х2 +…

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Q: The equation of a circle in the zy-plane is 2 + 4x + y? – 10y = 20. If the line z= k intersects the…

A: Consider the equation of circle in xy-plane given by x2+4x+y2-10y=20 If the line x=k intersect the…

Q: Evaluate xy ds, where C is the right half of circle x² + y² = 4 and is traversed in the clockwise…

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Q: ont 9. x2 + y2 – 2x + 10y +1 = 0 10. x2 + y2 -6y - 4 0

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Q: What is the distance between the center of the two circles whose equation is r +y + 6x + 10y – 12 =…

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Q: 2z Evaluate] (7-1)(z-2) dz where C is the circle z=3

A: See the attachment

Q: Find the equation of the circle of radius 3 with its center at the origin. 35. [A] x² +y² = 9 [B] x²…

A: The standard equation of the circle is: x-h2+y-k2=r2, where h,k and r is radius. We have given a…

Q: ARST is shown. XU = -4y + 20 and XW = 6y + 10. Find the radius of the inscribed circle of ARST…

A: The inscribed circle is the circle inside the triangle touching all three sides of the triangle.…

Q: Find the point (x, y) on the unit circle that corresponds to the real number t. t= π/2 (х, у) -

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Q: Q2) A- Find the distance between the line (y = x + 3 ) and center of circle (x²+y²–2x=0).

A: Topic : Coordinate Geometry  Answer  question no 2 :- sqrt(8) As per our guidelines,  at a time only…

Q: Find the center and radius of the circle x2+y2-2x-18y+1=0

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Q: On which axis does the center of the circle x2 + y2 - 8y + 7 = 0 lie? Defend your answer.

A: We know, the equation of a circle in standard form is given by: (x-h)2+(y-k)2=r2 Where,(h,k) is…

Q: Find the standard form of the equation of the circle. Center ( - 1, 3) and tangent to the line y = 2

A: To find: The standard form of the equation of the circle. Given information: Center ( - 1, 3) and…

Q: If F = V(4x² + 4y³), find ſ, F · dř where C is the quarter of the circle x? + y? = 9 in the first…

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