1. Find the center and radius of circle x2 + y--2x-4y+1= 0.

Q: Write the standard from of the equation of the circle with center at (-3, 5) that is tangent to the…

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Q: 8. , (2x – y) dA, where R is the region in the first quadrant enclosed by the circle x? + y² = 4 and…

A: Dear bartleby student ,According to bartleby rule Answer the first question, unless the student has…

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

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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: x^2 / 4 + y^2 / 9 = 1

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 1. Find the center and radius of a circle given by 2r2-8x + 2y2-4y+6=0

A: Given: 2x2-8x+2y2-4y+6=0 Take out common and write in standard form x2+y2-4x-2y+3=0

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

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Q: If we have the circle (z-1) +(y– 1) = 25 and we intersect it with line y=4 what are the two…

A: Solution:Given(x-1)2+(y-1)2=25  and y=4To find the intersecting points.

Q: The intersection between the surface x + y + z = - 1 and the circle x2 + y2 = 1,z = 0 is

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Q: The equation of a family of circles with center (2,k) and radius r that is tangent to the x-axis is?

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

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Q: Show the complete solutions. Family of circles centered at the line y = 2x. Ans: y" (y-2x) + 2(y')³…

A: To find out the differential equation for the family of circles having centre on the line y=2x.

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

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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: Find the standard form for the equ of a circle (xh)² + (y - k)² = 7² with a diameter that has…

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Q: Find the exact center and radius of the circle: x^2 -10x + y^2 +6y +21 = 0

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Q: What is the standard equation for the circle with center (7, 3) and radius 3? O (x-7,2 + (y- 3)2 - 3…

A: Equation of circle with center (h,k)and radius r (x-h)²+(y-k)²=r²

Q: Show the complete solutions. Family of circles centered at the line y = 2x. Ans: y" (y-2x) + 2(y')³…

A: Given problem:- Differential equation of family of circles centerd at the line y=2x

Q: 1. What is the center and radius of the circle given by ( x − 3 ) 2 + ( y + 2 ) 2= 16.

A: Recall the standard form of equation of a circle: (x - a)2 + (y - b)2 = r2 where center of the…

Q: Find the equation of a circle in standard form whose center is at (-4,3) and radius v5 * O…

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

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Q: Find the DE of a family of circles with center at (1,-2). Hint: Equation of circle with center (h,…

A: We know that equation of circle with center h, k and radius r is given by, x-h2 + y-k2 = r2 We have…

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: Write the equation of the circle centered at (6, -2) and tangent to y = 1. O (x+ 6)° + (y – 2)² = O…

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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: 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: What is the equation of the circle that has radius of 2 and centre at (-1,3)? A. (x+1) + (y – 3)² =…

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

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Q: 3. For the equation of family of circle (x – 2)2 + (y + 1)² = r² or general equation of a circle…

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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: 4. Evaluate / (z – 2) dz where C is the lower half of the circle |2 – 2| = 4.

A: Note: According to bartleby guidelines we have to answer only first question please upload the…

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

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Q: A circle centered at (9, 15) has only 1 y-intercept. What is it's radius?

A: Given : Center of Circle is (9 , 15) has only 1 y-intersept. To find : Radius of circle  Solution :…

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

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Q: 2. Let be the part of the circle x² + y² = 9 from (-3,0) to (0, 3) in the upper left quadrant.…

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Q: -dz where C is the circle |z|=3. (z+ 2)* Evaluate

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

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Q: What is equation of circle P? y 4 0 2 4 O (x – 2)² + (y – 2)² = 16 O (x + 2)² + (y +2)² O (2 – 2)² +…

A: Given circle, To be found -  Equation of given circle.

Q: Give the center and radius of this circle: x² + y? – 8x + 4y = –11 O Center (–4, 2); Radius =3 O…

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Q: A circle centered at (9, 15) has only 1 y-intercept. What is it's radius ?

A: we have to find the radius of the circle

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: 17) Write the equation of a circle with a center at (7,3) that contains the point (-5,8). A)…

A: The answer is found in step-2.

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

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Q: Show the complete solutions. Family of circles centered at (h, k) Ans: y" [1 + (y)²]- 3y'(y")² = 0

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Q: Find the equation of the circle with center at (-9,6) and radius V5- (x+ 9)² + (y – 6)² = 5 O (x-…

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Q: Determine the equation of a circle with center at(3,-5) and radius of 6. O (x-3)^2+(y-5)^2=6 O…

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Q: Given the radius r = 12 and center (-7,10), find the standard equation of the circle. O (x+7)² +…

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Q: Vhat is the equation of a circle with center (3, –7) that goes through the oint (1, 1)? D (x – 3)2 +…

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Q: Show the complete solutions. Family of circles centered at (h, k) Ans: y [1 + (y)²]- 3y'(y")² = 0

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