tabuordy

Answered 2021-02-26
Author has **12539** answers

asked 2021-01-23

Give a correct answer for given question

(A) Argue why \({ (1,0,3), (2,3,1), (0,0,1) }\) is a coordinate system ( bases ) for \(R^3\) ?

(B) Find the coordinates of \((7, 6, 16)\) relative to the set in part (A)

asked 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 ?

asked 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 \(\displaystyle{{\sin}^{{{3}}}}\) 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

\(\displaystyle{M}_{{{1}}}={5.74}{e}{33}{g}\)

\(\displaystyle{M}_{{{2}}}={2.87}{e}{33}{g}\)

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

\(\displaystyle{M}_{{{1}}}={5.74}{e}{33}{g}\)

\(\displaystyle{M}_{{{2}}}={2.87}{e}{33}{g}\)

asked 2021-09-29

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.

asked 2020-11-01

asked 2021-12-17

Give a correct and full answer to question how convert 2's complement to decimal?

asked 2021-11-29