Recent questions in Alternate coordinate systems

College StatisticsAnswered question

Kierra Griffith 2022-11-28

Using spherical coordinates,

$x=p\mathrm{sin}(\varphi )\mathrm{cos}(\theta )$

$y=p\mathrm{sin}(\varphi )\mathrm{sin}(\theta )$

$z=p\mathrm{cos}(\theta )$

Show that $({x}^{2}+{y}^{2}+{z}^{2}{)}^{-3/2}={p}^{-3}$

$x=p\mathrm{sin}(\varphi )\mathrm{cos}(\theta )$

$y=p\mathrm{sin}(\varphi )\mathrm{sin}(\theta )$

$z=p\mathrm{cos}(\theta )$

Show that $({x}^{2}+{y}^{2}+{z}^{2}{)}^{-3/2}={p}^{-3}$

College StatisticsAnswered question

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)?

whose graph has horizontal tangents at the points(-2,6) and (2,0)?

College StatisticsAnswered question

cuuhorre76 2022-09-11

Calculate the area of a figure bounded by lines

x-y+3=0 x+y-1=0 y=0

x-y+3=0 x+y-1=0 y=0

College StatisticsAnswered question

sooxicyiy 2022-09-05

What is the equation of the line passing through (-3,-2 ) and (1, -5)?

College StatisticsAnswered question

SchachtN 2021-09-29

For the polar point

a) Give alternate coordinates with

b) Give alternate coordinates with

c) Give alternate coordinates of your choice.

College StatisticsAnswered question

Carol Gates 2021-09-19

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$2x,\text{}2y$ , and $2z$ as the volume. Can you explain how the volume of the cube for this problem is $v=8xyz?$

The part i do not get the solutions manual got

College StatisticsAnswered question

FizeauV 2021-03-11

Convert the point from spherical coordinates to rectangular coordinates.

$(9,\pi ,\frac{\pi}{2})$

$(x,y,z)=?$

College StatisticsAnswered question

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.

and above by the sphere

College StatisticsAnswered question

Wierzycaz 2021-03-02

Descibe in words the region of

College StatisticsAnswered question

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$R{R}^{n}.$

to the standard basis in

College StatisticsAnswered question

Jaya Legge 2021-02-25

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

College StatisticsAnswered question

nicekikah 2021-02-22

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

$x=5$

College StatisticsAnswered question

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$n\times n$ identity matrix.

are the columns

of the

College StatisticsAnswered question

Kyran Hudson 2021-02-15

Which of the following coordinate systems is most common?

a. rectangular

b. polar

c. cylindrical

d. spherical

a. rectangular

b. polar

c. cylindrical

d. spherical

College StatisticsAnswered question

djeljenike 2021-02-15

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${R}^{n}$

is linearly independent in

College StatisticsAnswered question

Ernstfalld 2021-01-28

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

College StatisticsAnswered question

glamrockqueen7 2021-01-25

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 ?

College StatisticsAnswered question

usagirl007A 2021-01-25

The vector x is in $H=Span\text{}{v}_{1},{v}_{2}$

and find the beta-coordinate vector$[x{]}_{\beta}$

and find the beta-coordinate vector

College StatisticsAnswered question

Falak Kinney 2021-01-02

Solve the given Alternate Coordinate Systems and give a correct answer 10) Convert the equation from Cartesian to polar coordinates solving for

College StatisticsAnswered question

Nannie Mack 2020-12-29

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

${x}^{2}+{y}^{2}=4$

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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.