Why is Dark Matter essential for understanding the universe?

bolahab
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Why do we think there is a significant amount of Dark Matter in the
universe?
a) Descibe at least 3 independent situations which require Dark Matter to understand observations.
b) Why don’t we think that Dark Matter is baryonic?
c) What do we think is might be?
 
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We respectfully request students to apply some effort and attempt an answer first, and show work before asking for assistance.
 
Yeah for this question i did a lot of work on it, but I am trying to see what i got is right, and if does match what i get from you guys
 
I think he wants you to show us your answers first, and we can tell you were you went wrong, otherwise, you are getting the smarter kid to do your homework.
 
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Thread 'Need help understanding this figure on energy levels'

This figure is from "Introduction to Quantum Mechanics" by Griffiths (3rd edition). It is available to download. It is from page 142. I am hoping the usual people on this site will give me a hand understanding what is going on in the figure. After the equation (4.50) it says "It is customary to introduce the principal quantum number, ##n##, which simply orders the allowed energies, starting with 1 for the ground state. (see the figure)" I still don't understand the figure :( Here is...
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Thread 'Understanding how to "tack on" the time wiggle factor'

Thread 'Understanding how to "tack on" the time wiggle factor'

The last problem I posted on QM made it into advanced homework help, that is why I am putting it here. I am sorry for any hassle imposed on the moderators by myself. Part (a) is quite easy. We get $$\sigma_1 = 2\lambda, \mathbf{v}_1 = \begin{pmatrix} 0 \\ 0 \\ 1 \end{pmatrix} \sigma_2 = \lambda, \mathbf{v}_2 = \begin{pmatrix} 1/\sqrt{2} \\ 1/\sqrt{2} \\ 0 \end{pmatrix} \sigma_3 = -\lambda, \mathbf{v}_3 = \begin{pmatrix} 1/\sqrt{2} \\ -1/\sqrt{2} \\ 0 \end{pmatrix} $$ There are two ways...
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