Recent content by Einstein44

  1. Einstein44

    Triangle formed by straight lines

    Thanks very much for everyones contribution! I think I got it now.
  2. Einstein44

    Triangle formed by straight lines

    Thanks very much for your input. I will try this problem again, this time with a better understanding! The reason geometry is not allowed for this problem, is because this is not actually from a geometry class. This problem is from one of my modules on inequalities, sets and logic (to summarise).
  3. Einstein44

    Triangle formed by straight lines

    This is the solution: Unfortunately I was not able to make sense of it, but perhaps it makes more sense now that I saw all the replies here. The values of the linear functions which determine the sides of the triangle ##a(x,y) = 2x+y-2##, ##b(x,y)=2x-3y-6##, ##c(x,y)=x-y-1## opposite to...
  4. Einstein44

    Triangle formed by straight lines

    "Let's take the two points we are given, P and Q, and add the origin O as well to give us more data. Now, taking the lines in the order given, we plug in the x value of our point and say whether the y value is greater than or less than the expression in x on the RHS:" I am not sure what to...
  5. Einstein44

    Triangle formed by straight lines

    What does that information about whether the retuned y-value from the functions is greater or lower than the one from the point?
  6. Einstein44

    Triangle formed by straight lines

    Yes, I believe this would work, although perhaps more complicated. The solution refers to a method like the one stated by several threads above, however it is written in a way that does not really make sense on its own. The only thing I can tell is the use of some inequalities. That's why I...
  7. Einstein44

    Triangle formed by straight lines

    Okay so I have tried to work this out like you said, although a bit confused. Please correct me if I did any mistakes in here. First rearranged the equations in the form ##y=mx+c##: ## \left.\begin{matrix} y= -2x+2\\ y=-\frac{2}{3}x+2\\ y=x-1 \end{matrix}\right\}triangle ## Then, finding the...
  8. Einstein44

    Triangle formed by straight lines

    I tried doing this problem, but couldn't find a solution that wouldn't involve a sketch... Finding the vertices was all I've got. Thanks in advance.
  9. Einstein44

    Finding the horizontal shift of a function

    Alright, I guess this will remain a mystery. Thanks for the contribution.
  10. Einstein44

    Finding the horizontal shift of a function

    Hmmm... This is the website, in case you want to have a look: https://www.ukessays.com/essays/mathematics/how-can-integral-calculus-be-derived-and-applied-to-find-the-volumes-and-surface-area-of-complex-three-dimensional-objects.php I can't figure out what kind of geometry could have been used...
  11. Einstein44

    Finding the horizontal shift of a function

    I've never actually done this, so I was wondering if someone could show me how this is done. One way I tried was by simply using ##cos^{-1}## in order to cancel the cosine, but that gave me a different value, so I assume this is not how you are supposed to do this. --> I know I am supposed to...
  12. Einstein44

    I Coefficient of rolling friction for a lab cart

    Yes, I understand what you wrote. However, I feel like this mainly applies to wheels that deform on the surface, such as a deflated tire for example (correct me if I'm wrong), so how can you apply any equation to find the Frictional Force for basically a hard wheel on another surface? (besides...
  13. Einstein44

    I Coefficient of rolling friction for a lab cart

    Thank you! On the website you have linked in your comment above I have found the following equation: $$F=\frac{Nb}{r}$$ Would this then give me the force due to the rolling resistance directly? That means I wouldn't need to use the equation above? Because essentially I am trying to find out the...
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