# College Statistics: alternate coordinate systems solving

Recent questions in Alternate coordinate systems
Kierra Griffith 2022-11-28

### Using spherical coordinates,$x=p\mathrm{sin}\left(\varphi \right)\mathrm{cos}\left(\theta \right)$$y=p\mathrm{sin}\left(\varphi \right)\mathrm{sin}\left(\theta \right)$$z=p\mathrm{cos}\left(\theta \right)$Show that $\left({x}^{2}+{y}^{2}+{z}^{2}{\right)}^{-3/2}={p}^{-3}$

wurpenxd 2022-09-12

### How do you find a cubic function $y=a{x}^{3}+b{x}^{2}+cx+d$ whose graph has horizontal tangents at the points (-2,6) and (2,0)?

cuuhorre76 2022-09-11

### Calculate the area of ​​a figure bounded by linesx-y+3=0 x+y-1=0 y=0

sooxicyiy 2022-09-05

Line 2021-10-08

### 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. $\left\{\begin{array}{l}y<9-{x}^{2}\\ y\ge x+3\end{array}$

SchachtN 2021-09-29

### For the polar point $\left(-4,-\frac{3\pi }{4}\right)$ a) Give alternate coordinates with $r>0$ and $-2\pi \le \theta <0$. b) Give alternate coordinates with $r<0$ and $0\le \theta <2\pi$. c) Give alternate coordinates of your choice.

ossidianaZ 2021-09-22

### 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 $a\right)\stackrel{\to }{A}\left(x,y,z\right)={\stackrel{\to }{e}}_{x}$ $d\right)\stackrel{\to }{A}\left(\rho ,\varphi ,z\right)={\stackrel{\to }{e}}_{\rho }$ $g\right)\stackrel{\to }{A}\left(r,\theta ,\varphi \right)={\stackrel{\to }{e}}_{\theta }$ $j\right)\stackrel{\to }{A}\left(x,y,z\right)=\frac{-y{\stackrel{\to }{e}}_{x}+x{\stackrel{\to }{e}}_{y}}{{x}^{2}+{y}^{2}}$

mattgondek4 2021-09-21

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

Carol Gates 2021-09-19

Nann 2021-09-15

### 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 ${\mathrm{sin}}^{3}$ 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 ${\mathrm{sin}}^{3}$ i has its mean value. Hint: In spherical coordinates, $\left(\theta ,\varphi \right)$, 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 $\mathrm{sin}\left\{3\right\}\left(\theta \right)$. ${v}_{1}=100k\frac{m}{s}$ ${v}_{2}=200k\frac{m}{s}$ Orbital period $=2$ days ${M}_{1}=5.74e33g$ ${M}_{2}=2.87e33g$

FizeauV 2021-03-11

### Convert the point from spherical coordinates to rectangular coordinates. $\left(9,\pi ,\frac{\pi }{2}\right)$ $\left(x,y,z\right)=?$

babeeb0oL 2021-03-05

### Consider the solid that is bounded below by the cone $z=\sqrt{3{x}^{2}+3{y}^{2}}$ and above by the sphere ${x}^{2}+{y}^{2}+{z}^{2}=16.$.Set up only the appropriate triple integrals in cylindrical and spherical coordinates needed to find the volume of the solid.

Wierzycaz 2021-03-02

### Descibe in words the region of 𝟛${\mathbb{R}}^{\mathbb{3}}$ represented by the equation or inequality. $y=-2$

Jaya Legge 2021-02-25

### Give a full answer for the given question: The covalent backbone of DNA and RNA consists of: ?

Emily-Jane Bray 2021-02-25

### The change - of - coordinate matrix from $\mathcal{B}=\left\{\left[\begin{array}{c}3\\ -1\\ 4\end{array}\right]\left[\begin{array}{c}2\\ 0\\ -5\end{array}\right]\left[\begin{array}{c}8\\ -2\\ 7\end{array}\right]\right\}$ to the standard basis in $R{R}^{n}.$

nicekikah 2021-02-22

### Describe in words the region of ${R}^{3}$ represented by the equation(s) or inequality. $x=5$

Tobias Ali 2021-02-19

### To explain^ Why the beta-coordinate vectors of $\beta ={b}_{1},...,{b}_{n}$ are the columns ${e}_{1},...,{e}_{n}$ of the $n×n$ identity matrix.

Kyran Hudson 2021-02-15

### Which of the following coordinate systems is most common? a. rectangular b. polar c. cylindrical d. spherical

djeljenike 2021-02-15

### A subset ${u}_{1},...,{u}_{p}$ in V is linearly independent if and only if the set of coordinate vectors $\left[{u}_{1}{\right]}_{\beta },...,\left[{u}_{p}{\right]}_{\beta }$ is linearly independent in ${R}^{n}$

Ernstfalld 2021-01-28

### Plot the given point $\left(-4,0\right)$ in a rectangular coordinate system.

When you’re starting with the coordinate system equations, you will have to think differently and apply the factor of probability in your statistical data and estimation tasks. It is exactly where you have to apply alternate coordinate systems to compare more than two approaches. You can see coordinate system examples that will help you to find the answers to statistical challenges. You can also use so-called polar coordinates when you are dealing with the different dimensions. Be it Cartesian coordinate system or Homogeneous solutions, always check several examples to see what solution will fit you in the best way possible.