Examples of Coordinate Systems and Equations

College
Algebra
Linear algebra
Alternate coordinate systems

Recent questions in Alternate coordinate systems

vasorasy8 2022-06-30

Find the Slope of the Line through P and Q
$P (1, 5), Q (4, 9)$

[ k 1 −2 ,4 −1 2]

glamrockqueen7 2021-08-11

Solve the following systems of inequalities graphically on the set of axes below.The state the following coordinates of a point in the solution say
$y \leq x + 6$
$y ≻ \frac{3}{2} x - 4$

pancha3 2021-08-10

Consider the following system.
${\begin{cases} y = 30 - x \\ 2 y = - x^{2} + 16 x - 12 \end{cases}$

Yasmin 2021-08-09

This question has to do with binary star systems, where 'i' is the angle of inclination of the system.
Calculate the mean expectation value of the factor $\sin^{3}$ i, i.e., the mean value it would have among an ensemble of binaries with random inclinations. Find the masses of the two stars, if $\sin^{3}$ i has its mean value.
Hint: In spherical coordinates, $(θ, ϕ)$ , integrate over the solid angle of a sphere where the observer is in the direction of the z-axis, with each solid angle element weighted by $\sin^{3} θ$ .
$v_{1} = 100 k \frac{m}{s}$
$v_{2} = 200 k \frac{m}{s}$
Orbital period $= 2$ days
$M_{1} = 5.74 e^{33} g$
$M_{2} = 2.87 e^{33} g$

pedzenekO 2021-08-08

Discuss: Different Coordinate Systems As was noted in the overview of the chapter, certain curves are more naturally described in one coordinate system than in another. In each of the following situations, which coordinate system would be appropriate: rectangular or polar? Give reasons to support your answer.
a) You need to give directions to your house to a taxi driver.
b) You need to give directions to your house to a homing pigeon.

Rivka Thorpe 2021-08-05

We can describe the location of a point in the plane using different ________ systems. The point P shown in the figure has rectangular coordinates ( _ , _ ) and polar coordinates ( _, _).

Cheyanne Leigh 2021-08-04

Systems of Inequalities Graph the solution set of the system if inequalities. Find the coordinates of all vertices, and determine whether the solution set is bounded.
${\begin{cases} y < 9 - x^{2} \\ y \geq x + 3 \end{cases}$

postillan4 2021-08-04

Find or create an example of a system of equations with one solution.
Graph and label the lines on a coordinate plane. Provide their equations.
State the accurate solution to the system.

remolatg 2021-08-03

a) What coordinate system is suggested to be used when seeing the integrand ${(x^{2} + y^{2})}^{\frac{5}{2}}$ , cylindrical or Cartesian?
b) List the conversion factors for rectangular to cylindrical coordinate systems.

jernplate8 2021-08-02

Below are various vectors in cartesian, cylindrical and spherical coordinates. Express the given vectors in two other coordinate systems outside the coordinate system in which they are expressed
$a) \vec{A} (x, y, z) = {\vec{e}}_{x}$
$d) \vec{A} (ρ, ϕ, z) = {\vec{e}}_{ρ}$
$g) \vec{A} (r, θ, ϕ) = {\vec{e}}_{θ}$
$j) \vec{A} (x, y, z) = \frac{- y {\vec{e}}_{x} + x {\vec{e}}_{y}}{x^{2} + y^{2}}$

Dolly Robinson 2021-08-02

Given point $P (- 2, 6, 3)$ and vector $B = y a_{x} + (x + z) a_{y}$ , Describe P and B in spherical and cylindrical coordinates. In the Cartesian, cylindrical, and spherical systems, evaluate A at P.

Jason Farmer 2021-06-05

The Cartesian coordinates of a point are given.
a) $(2, - 2)$
b) $(- 1, \sqrt{3})$
Find the polar coordinates $(r, θ)$ of the point, where r is greater than 0 and 0 is less than or equal to $θ$ , which is less than $2 π$
Find the polar coordinates $(r, θ)$ of the point, where r is less than 0 and 0 is less than or equal to $θ$ , which is less than $2 π$

permaneceerc 2021-05-27

For the cuboid below: a. write down the coordinates of point B.
b. write down the coordinates of point A.
c. find the coordinates of the midpoint, M, of the diagonal [AO] of the cuboid.

glasskerfu 2021-03-07

Find the value of x or y so that the line passing through the given points has the given slope. (9, 3), (-6, 7y), $m = 3$

Suman Cole 2021-03-02

To plot: Thepoints which has polar coordinate $(2, \frac{7 π}{4})$ also two alternaitve sets for the same.

Reggie 2021-02-27

The system of equation ${\begin{cases} 2 x + y = 1 \\ 4 x + 2 y = 3 \end{cases}$ by graphing method and if the system has no solution then the solution is inconsistent.
Given: The linear equations is ${\begin{cases} 2 x + y = 1 \\ 4 x + 2 y = 3 \end{cases}$

djeljenike 2021-02-27

What are polar coordinates? What equations relate polar coordi-nates to Cartesian coordinates? Why might you want to change from one coordinate system to the other?

Tazmin Horton 2021-02-26

The equivalent polar equation for the given rectangular - coordinate equation.
$y = - 3$

Cheyanne Leigh 2021-02-26

The reason ehy the point $(- 1, \frac{3 π}{2})$ lies on the polar graph $r = 1 + \cos θ$ even though it does not satisfy the equation.

Coordinate system examples can be met in college geometry among architects and 3D designers as they are dealing with the Euclidean space and other objectives. The solutions and answers that have been presented below will also include linear algebra for various calculations. Do not forget to look through the list of questions as these will have great coordinate system equations that will help you determine how to solve your unique problem. Start with given coordinates, provide a position of existing points, and just change your task's problem accordingly by learning from the answers provided.

Linear algebra

Understanding Coordinate Systems and Equations