5. Let C be the circle x +y} =4_which is positively oriented. Let C, be the upper half-circle C1 = {(x, y)| a² +y} = 4, y > 0} whose orientation is inherited from that of C. Evaluate (1+xy)e"dx+(e" +æ²e")dy .

Q: х? — бх + у? — 2у - 6 %3D 0

A:

Q: 24 What are the center and radius of the circle 2 +y² + 4x = 5 ? whose equation is 1) (2,0) and 1 2)…

A: Using general equation of circle

Q: 20.) Question is attached!

A: If the equation of a circle is: then the center = (h,k)

Q: What is the equation of the circle with centre (,0) and radius 6?

A:

Q: Write the center of the circle x 2 + y 2 - 6x + 10y - 2 = 0 (-3, 5) (3, -5) (6, -10)

A: Centre of circle

Q: Use the divergence theorem to compute the flux integral P F·î dS where în is the outward pointing…

A: Given vector field: F→=4x,4y,4z The surface is a unit ball x2+y2+z2≤1 The divergence theorem is…

Q: Which of the following is the standard form of a circle?

A:

Q: 21. What is the equation of the circle with center (0, 0) that passes through the point (-8,-8)?…

A:

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.