) Calculate (8(x² - y)i + 8(y² + x)j³) · dř if: (a) C is the circle (x − 4)² + (y − 8)² = 25 oriented counterclockwise. - Sc (8(x² − y)i + 8(y² + x)j') · dř = - (b) C is the circle (x − a)² + (y - b)² = R² in the xy-plane oriented counterclockwise. - Sc (8(x² − y)i + 8(y² + x)j') · dř = .

Q: Which of the following is the center and radius of the circle? ²+²+4x-14y+46-0 O Center (2,-7);r=7 O…

A: equation is given is  x2 + y2 +4x -14y + 46 = 0 compare with circle equation  (x-a)2 + (y-b)2 = r2…

Q: Find the distance from the point (5,8) to the circle x2 + Y2 + 2x + 6y + 3 = 0

A:

Q: Identify the center and radius of the circle defined by the equation: (x – 2)2 + (y- 3)² = 9 o…

A: Given the equation of a circle : x-22+y-32=9   Standard equation of a circle: x-h2+y-k2=r2 where h,k…

Q: What is the image of point G(18, 71) after a half-turn centered at Y(20, 21)?  Give a reason for…

A:

Q: Evaluate (x² - y²) dx + (x² + y²) dy, where C is the circle x² + y² = 9 oriented counterclockwise.…

A:

Q: Find the x² + y² − 3x − 6y + 14 = 0, - equation of the circle which cuts th x² + y² − x − 4y + 8 = 0…

A: The circle having center at the radical center of the three given circles and radius equal to the…

Q: The equation x² + 14x + y² – 8y +z2 +10z = – 65 represents a sphere whose center is (-7,4, – 5) |

A:

Q: The graph of the equation  (x − 4)2 + (y − 2)2 = 9  is a circle with center  (x, y) =    and…

A:

Q: The x =5 will be (parallel or perpendicular) to the yz-plane.

A: In a 3D cartesian coordinate system, the YZ plane is defined by the equation…

Q: Which of the following equation describes a circle on the coordinate plane with a center at (2, -3)…

A:

Q: What is the center of X x² + y² – 30x + 221 = 0? Show all work for full credit.

A: Topic = Geometry