Given the following set of coordinates on a Cartesian plane: {(1,1), (2,2), (3,2.5), (4,3)} Find the...

Given the following set of coordinates on a Cartesian plane: {(1,1), (2,2), (3,2.5), (4,3)}

Find the quadratic function (polynomial of the second degree) that best fits the data set. Solve this problem using the orthogonality resources and present a “step by step” solution. Sketch the points and the curve.

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orchestra answered 2 years ago

Plot the point whose polar coordinates are given. Then find the Cartesian coordinates of the point...

Plot the point whose polar coordinates are given. Then find the Cartesian coordinates of the point b. (2, π/4) c.(−3, −π/6)

Find the polar coordinates of a point with the Cartesian coordinates

Find the polar coordinates of a point with the Cartesian coordinates (x,y)=(−4√2,4√2).

The Cartesian coordinates of a point are given. (a) (2, −5) (i) Find polar coordinates (r,...

The Cartesian coordinates of a point are given. (a) (2, −5) (i) Find polar coordinates (r, θ) of the point, where r > 0 and 0 ≤ θ < 2π. (r, θ) = (ii) Find polar coordinates (r, θ) of the point, where r < 0 and 0 ≤ θ < 2π. (r, θ) = (b) (-2, −2) (i) Find polar coordinates (r, θ) of the point, where r > 0 and 0 ≤ θ < 2π. (r, θ) =...

The Cartesian coordinates of a point are given. (a) (−3, 3) (i) Find polar coordinates (r, θ)...

The Cartesian coordinates of a point are given. (a) (−3, 3) (i) Find polar coordinates (r, θ) of the point, where r > 0 and 0 ≤ θ < 2π. (r, θ) = (ii) Find polar coordinates (r, θ) of the point, where r < 0 and 0 ≤ θ < 2π. (r, θ) = b. (5,5sqrt(3)) (i) Find polar coordinates (r, θ) of the point, where r > 0 and 0 ≤ θ < 2π. (r, θ) = (ii) Find...

(a). The Cartesian coordinates (x, y) = (−4, 4) of a point are given. Find polar...

(a). The Cartesian coordinates (x, y) = (−4, 4) of a point are given. Find polar coordinates (r, θ) of the point so that r > 0 and 0 ≤ θ ≤ 2π. (b). The polar coordinates (r, θ) = (−3, 5π/6) of a point are given. Find the Cartesian coordinates (x, y) of this point.

Find Cartesian equation of a plane through the point a and parallel to the given vectors...

Find Cartesian equation of a plane through the point a and parallel to the given vectors p and q. a = (1, - 1, 3) , p= ‹2, -1, 0›, q= ‹2, 0, 6›.

The following charges exist (given coordinates are (x, y) coordinates in the plane of the page):

The following charges exist (given coordinates are (x, y) coordinates in the plane of the page): • a −3.0 µC point charge located at (0, 0) • a −2.0 µC uniform spherical shell of charge of radius 3.0 cm centered at (+4.0 cm, 0) • a +2.0 µC uniform spherical shell of charge of radius 2.0 cm centered at (0, −4.0 cm) • a +4.0 µC uniform spherical shell of charge of radius 4.0 cm centered at (−1.0 cm,...

2. Assume that the potential in Cartesian coordinates is given as V=x2-y2. According to this; (a)...

2. Assume that the potential in Cartesian coordinates is given as V=x2-y2. According to this; (a) The value of the potential at coordinate P (2, -1,3) (b) Electric field, the magnitude of the displacement vector and field lines (c) Calculate the charge density on the conductive surface

Converting the following Cartesian coordinates to polar coordinates..1. (-4,4)2.(3, 3√3)

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Q. A hypothetical velocity field is given in Cartesian Coordinates by: V? = 4z^2t i ?...

Q. A hypothetical velocity field is given in Cartesian Coordinates by: V? = 4z^2t i ? 4x k where i, j and k are the unit base vectors. t is the time variable and (x, y, z) are the Cartesian Coordinates in the ( i, j , k ) directions respectively. The fluid density is constant and given by p = 1000kg/m^3 5(a) Give the (x, y, z) components of V? which are written (u, v, w)respectively. Check whether the...

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