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Great review. Honest, accurate, unbiased. Completely agree with everything you said

Post Notes: Q4: Should have multiplied the fractions better. You end up with a 1/13 out the front, not a 4/7. Plus, it could have been simplified further to read 1/13(e^2x)(2cos3x+3sin3x). My bad :(

Thank you 🙏

in relation to a)iii); I definitely see the solution you present here. However, I obtained another value that is seemingly just as valid. See instead of taking u=77, I cancelled out u by doing a second equation but for Sy. Upon equating both equations to u, and later doing a simple trigonometric ratio, tan was obtained as 0.7. I tried to find what I did wrong but I can't find any. Plus, if the vector velocities were to be returned back to polar form magnitude using Pythagoras' theorem with my value, 154 as speed is obtained which is indeed 2u. Can you please address this discrepancy?

Black holes are based on a mathematical misconception. General Relativity predicts dilation, not singularities. In the 1939 journal "Annals of Mathematics" Einstein wrote - "The essential result of this investigation is a clear understanding as to why the Schwarzchild singularities (Schwarzchild was the first to raise the issue of General Relativity predicting singularities) do not exist in physical reality. Although the theory given here treats only clusters (star clusters) whose particles move along circular paths it does seem to be subject to reasonable doubt that more general cases will have analogous results. The Schwarzchild singularities do not appear for the reason that matter cannot be concentrated arbitrarily. And this is due to the fact that otherwise the constituting particles would reach the velocity of light." He was referring to the phenomenon of dilation (sometimes called gamma or y) mass that is dilated is smeared through spacetime relative to an outside observer. It's the phenomenon behind the phrase "mass becomes infinite at the speed of light". Time dilation is just one aspect of dilation, it's not just time that gets dilated. Dilation is the original and correct explanation for why we cannot see light from the galactic center. Einstein's reasoning on why singularities do not exist is solid as a rock. He is known to have repeatedly spoken about this. Nobody believed in them when he was alive including Plank, Bohr, Schrodinger, Dirac, Heisenberg, Feynman etc. Dilation will occur wherever there is an astronomical quantity of mass because high mass means high momentum. There is no place in the universe where mass is more concentrated than at the center of a galaxy. It can be inferred mathematically that the mass at the center of our own galaxy must be dilated. In other words that mass is all around us. Sound familiar? This is the explanation for the abnormally high rotation rates of stars in spiral galaxies, the "missing mass" is dilated mass. Einstein wrote about dilation occurring in "large clusters of stars" which is basically a very low mass galaxy. For a galaxy to have no/low dilation it must have very, very low mass. To date, 6 very, very low mass galaxies have been confirmed to show no signs of dark matter. This also explains why all planets and all binary stars have normal rotation rates, not 3 times normal. There was clarity in astronomy before television and movies started to popularize singularities in the 1960's

Thank you so much appreciate

nice

Is this ordinary maths?

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Error! I missed going back along CE when going back along the path. The correct weight should be 137 minutes. Apologies!

Bruh i need this, my junior cert starts in 9 hours💀

SIR WILL YOU SEND ME A PROPER DATA FLOW DIAGRAM (DFD) PHOTO FOR THIS ALGORITHM I'M NOT ABLE TO IDENTIFY WHAT IS WRITTEN IN DFD. IF YES THEN I WILL GIVE YOU MY CONTACT INFORMATION

ty I'm literally so bad at maths 💀 mocks start on monday

This showed up in my frontpage, and I don't understand anything :(

Mistake! It should have been tan(A-B) for that to work! tan(A+B) actually switches the signs around, which makes it not work

Okay so this video blew up more than I wanted. And yeah, I do wanna admit the clear mistakes in the video, some of which are in the comments Again, thanks for all the viewing. I am human, so of course I can make mistakes!

You got q5 wrong because Jon finished 1min before Ali

Pretty sure the Venn diagram question you got wrong, it says to put the people who went on holidays, not the people who only went on holidays, this means u add the intersection making it 54, but great video thanks alot

I'm guessing this is ordinary level? I thought the exam wasn't too bad this year but my brain blanked on how to get an angle of a triangle :p