Recent content by Melon Knight

I recently got into bioinformatics/genomics with a minimal (i.e. non-existent) background in biology. If you're interested in learning more about genetics I'd recommend The Cartoon Guide to Genetics for a very basic introduction to most of the big terms. It's a short and entertaining read. For...

From what I'm looking at, UBC offers four quantum while SFU offers two. They both offer all the standard and important undergrad courses but it seems that UBC offers slightly more courses. I would suggest that you don't let distance restrict your decision. I think that staying in residence or...

\neq I think you just made an arithmetic mistake ;) t^2(12t^2) - 2t(4t^3) + 2(t^4) = 12t^4 - 8t^4 + 2t^4 = 6t^4 \neq 0 In many cases, DE's can have multiple different solutions.

I used Tenenbaum as a reference when I was taking an introductory DE's course and I really liked it. I think it would be great for self-study. It can delve into a ton of details at times so try not to get too sidetracked by that. Schaum's DE's is great so definitely try to get a hold of it if...

Again, very close ;) You already added the 500 m from when the engine cut off so your final answer would be 1009 m ≈ 1.0 km.

You're very close. I think you just made a very simple arithmetic mistake: 100(10.19367992) ≠ 101.9367992

I found that what helped me the most with Calc I-III was doing as many problems as I could, especially tricky substitutions, hard integrals, etc. as there's a lot of stuff they can throw at you when it comes to integration by parts, trig substitution, etc. Eventually you would have done enough...

Try approaching the problem by considering the force in the x and y directions separately. That's usually a good first approach in anything related to Newton's Laws or kinematics in my opinion. If you can find the change in velocity in the x and y direction, you can then find the acceleration...

Yes, you're right. That's exactly what would happen without air resistance; the plane and the package will have the exact same velocity during the time the package falls, same speed and same direction.

I'm pretty sure that your equation has a unique solution as it's a second-order linear ODE with initial conditions. It's a direct consequence of the Existence and Uniqueness Theorem. As for showing that the solution is infinitely differentiable, I don't know if this is a valid argument but...

Yes, you're right, my mistake. Now I'm getting m2/s2 with SI units.

After dividing x by a, you should have gotten rid of the units of mass so your final answer shouldn't have any. I converted everything to SI units and went on from there, it makes everything easier in my opinion. I'm not sure if I did it right and I probably shouldn't post my answer but I think...