Recent content by TheFallen018

[Solved] Solving PDE using laplace transforms Hey, I'm stuck on this problem and I don't seem to be making any headway. I took the Laplace transform with respect to t, and ended up with the following ODE: $\frac{\partial^2 W}{\partial x^2}-W(s^2+2s+1)=0$ and the boundary conditions for...

Hey, I've got this problem that I've been trying to crack for a while. I can't find any info for multi-variable expected values in my textbook, and I couldn't find a lot of stuff that made sense to me online. Here's the problem. Find $E(C)$ Find $Var(C)$ I tried to get the limits from the...

Hello, I'm trying to get my head around linear transformations, and there are a few things I'm not grasping too well. I'm trying to understand combinations of linear transformations, but I can't find a lot of clear information on them. As far as I can tell, any two linear transformations of the...

Oh, yes, I should have made that clear in my first post. My reasoning for it having to be two dimensional, is since v1 and v2 are in the set and linearly independent, then they must be part of the span, in that for example w1=v1 and w2=v2, or something like that. However, now that I think about...

Good point. w1 and w2 could technically be multiples of each other, making W a one dimensional set. However, how would you do a $\ge$ 2 proof? Couldn't w2 be a multiple of w1, and w3 also be a multiple of w1? In that case I would be unsure on how to continue. Thanks

Hello all! I've got this problem I'm trying to do, but I'm not sure what the best way to approach it is. It's obvious that there can only be 2 dimensions, because there's only two linearly independent vectors in the span. However, what would be a good way of using the inequalities to prove...

Hey guys, I've got this problem I've been trying to solve, but it makes little sense to me. I've tried a few things, but I feel like with each method, I've made no progress, and I haven't been able to make the problem make any more sense to me by trying those things. Here's the question: The...

Thanks man, I really appreciate the help. Yes, there were two separate answers to give. I guess I didn't mention that part. It turns out what was giving me the trouble was that they wanted an algebraic solution, where n was not assigned any number at all. Why that wasn't stated, I don't know. It...

Heya, So, I know this is a pretty simple problem, but I seem stuck on it nevertheless. Here's the question Calculate the upper and lower sums , on a regular partition of the intervals, for the following integrals \begin{align*} \int_{1}^{3}(1-7x)dx \end{align*} Please correct me if I'm doing...

Hey, I've got this problem I've been doing, but I'm not sure if my approach is right. My textbook has pretty much less than a paragraph on this sort of stuff. My thinking was that since an integral is a sum, in order to get the range from 0 to 8, we should just be able to add or subtract the...

So, C should be independent of m? I'm not sure how the m could become irrelevant though, unless there is a large disparity between I and m? I apologise that I'm missing the obvious here

Here, let me link in the whole two pages. It might fill in the gaps. https://imgur.com/a/B4KI8KM The equation for angular acceleration is given in that file. I still tried to work it out on paper. Here's what I got. https://imgur.com/a/aRcxV1C Hmm, it seems that the only way that it would...

Wow, you're sharp. What you described almost exactly describes the problem presented. I'm glad you mentioned using the standard deviation, as that's what I wanted to use, but it seemed obvious, so I was second guessing myself. Here is what the problem looks like, for more info. The things...

Hey guys, Forgive my ignorance on some of these things. I'm having a bit of trouble understanding the meaning of this question. In a previous question, the angular acceleration was found to be given by α=mgr/(I+mr^2) where I is the moment of inertia for a disk. So, question 6, I figure...

You're a legend. Thanks! :)