Free solutions to alternate coordinate systems problems - PlainMath

Recent questions in Alternate coordinate systems

Line 2021-10-08 Answered

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.
\(\begin{cases}y < 9 - x^{2}\\y \geq x + 3 \end{cases}\)

SchachtN 2021-09-29 Answered

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

ossidianaZ 2021-09-22 Answered

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
\(a) \overrightarrow{A}(x,y,z)=\overrightarrow{e}_{x}\)
\(d)\overrightarrow{A}(\rho, \phi, z)= \overrightarrow{e}_{\rho}\)
\(g)\overrightarrow{A}(r, \theta, \phi)=\overrightarrow{e}_{\theta}\)
\(j)\overrightarrow{A}(x,y,z)=\frac{-y\overrightarrow{e}_{x}+x\overrightarrow{e}_{y}}{x^{2}+y^{2}}\)

mattgondek4 2021-09-21 Answered

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

Carol Gates 2021-09-19 Answered

Find Maximum Volume of a rectangular box that is inscribed in a sphere of radius r.
The part i do not get the solutions manual got \(\displaystyle{2}{x},\ {2}{y}\), and \(\displaystyle{2}{z}\) as the volume. Can you explain how the volume of the cube for this problem is \(\displaystyle{v}={8}{x}{y}{z}?\)

Nann 2021-09-15 Answered

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 \(\displaystyle{{\sin}^{{{3}}}}\) 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 \(\displaystyle{{\sin}^{{{3}}}}\) i has its mean value.
Hint: In spherical coordinates, \(\displaystyle{\left(\theta,\phi\right)}\), 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 \(\displaystyle{\sin{{\left\lbrace{3}\right\rbrace}}}{\left(\theta\right)}\).
\(\displaystyle{v}_{{{1}}}={100}{k}\frac{{m}}{{s}}\)
\(\displaystyle{v}_{{{2}}}={200}{k}\frac{{m}}{{s}}\)
Orbital period \(\displaystyle={2}\) days
\(\displaystyle{M}_{{{1}}}={5.74}{e}{33}{g}\)
\(\displaystyle{M}_{{{2}}}={2.87}{e}{33}{g}\)

FizeauV 2021-03-11 Answered

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

babeeb0oL 2021-03-05 Answered

Consider the solid that is bounded below by the cone \(z = \sqrt{3x^{2}+3y^{2}}\)
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 Answered

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

Jaya Legge 2021-02-25 Answered

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

Emily-Jane Bray 2021-02-25 Answered

The change - of - coordinate matrix from \(\mathscr{B} = \left\{\begin{bmatrix}3\\-1\\4\\\end{bmatrix}\begin{bmatrix}2\\0\\ -5 \\\end{bmatrix}\begin{bmatrix}8\\-2\\7\\ \end{bmatrix}\right\}\)
to the standard basis in \(RR^{n}.\)

nicekikah 2021-02-22 Answered

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

Tobias Ali 2021-02-19 Answered

To explain^ Why the beta-coordinate vectors of \(\beta = {b_{1}, ... , b_{n}}\)
are the columns \(e_{1}, ... , e_{n}\)
of the \(n \times n\) identity matrix.

djeljenike 2021-02-15 Answered

A subset \({u_{1}, ..., u_{p}}\) in V is linearly independent if and only if the set of coordinate vectors
\({[u_{1}]_{\beta}, ..., [u_{p}]_{\beta}}\)
is linearly independent in \(R^{n}\)

Kyran Hudson 2021-02-15 Answered

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

Ernstfalld 2021-01-28 Answered

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

glamrockqueen7 2021-01-25 Answered

Give a full answer to given question: Double-stranded DNA looks a little like a ladder that has been twisted into a helix, or spiral. The side supports (poles) of the ladder are ?

usagirl007A 2021-01-25 Answered

The vector x is in \(H = Span \ {v_{1}, v_{2}}\)
and find the beta-coordinate vector \([x]_{\beta}\)

Falak Kinney 2021-01-02 Answered

Solve the given Alternate Coordinate Systems and give a correct answer 10) Convert the equation from Cartesian to polar coordinates solving for \(r^2\):
\(\frac{x^2}{9} - \frac{y^2}{16} = 25\)

Nannie Mack 2020-12-29 Answered

Describe in words the region of \(R^{3}\) represented by the equation(s) or inequality.
\(x^{2} + y^{2} = 4\)

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