Recent content by Artie

  1. A

    Max and Min of a function of four variables

    Okay I think I got it! Since all of the components are equal to 1, you can set them equal to each other. And you end up with x=y=z=t. So you plug that into the constraint function g(x,y,z,t)=400, substituting x for all the other values. And you get (x^2)+(x^2)+(x^2)+(x^2)=400. And from there...
  2. A

    Max and Min of a function of four variables

    Okay I think I got it! Since all of the components are equal to 1, you can set them equal to each other. And you end up with x=y=z=t. So you plug that into the constraint function g(x,y,z,t)=400, substituting x for all the other values. And you get (x^2)+(x^2)+(x^2)+(x^2)=400. And from there...
  3. A

    Max and Min of a function of four variables

    Okay I think I got it! Since all of the components are equal to 1, you can set them equal to each other. And you end up with x=y=z=t. So you plug that into the constraint function g(x,y,z,t)=400, substituting x for all the other values. And you get (x^2)+(x^2)+(x^2)+(x^2)=400. And from there you...
  4. A

    Max and Min of a function of four variables

    are you talking about lambda? if so, i don't know an equation for that which doesn't include atleast one other variable
  5. A

    Max and Min of a function of four variables

    okay so, for each component: 1=λ2x 1=λ2y 1=λ2z 1=λ2t
  6. A

    Max and Min of a function of four variables

    Sorry, I forgot that there was a designated spot for homework questions. But yes I've looked all over the internet for how to do this problem. So what is the next step? I know how to use Lagrange multipliers for just two variables, f(x,y), but I don't understand how to use it for four.
  7. A

    Max and Min of a function of four variables

    Homework Statement Find the maximum and minimum values of the function f(x,y,z,t)=x+y+z+t subject to the constraint x^2+y^2+z^2+t^2=400. Homework Equations I think the Lagrange multiplers can be used ∇f=λ∇g The Attempt at a Solution So I found ∇f=<1,1,1,1> and ∇g=<2x,2y,2z,2t> and...
  8. A

    What is required to just barely avoid a collision.

    why do we ignore the +/- v when solving for d?
  9. A

    What is required to just barely avoid a collision.

    Okay, thank you! Sorry I second guessed you :/
  10. A

    What is required to just barely avoid a collision.

    Oh okay. So the d= v2/2(a1+a2) right?
  11. A

    What is required to just barely avoid a collision.

    Oh but I think the prompt called for us to find distance in terms of velocity and acceleration, instead of finding time
  12. A

    What is required to just barely avoid a collision.

    Hey sorry to bother you again since we kind of already finished this conversation. But I just wanted to clarify, do you assume that the ±v is 0?
  13. A

    What is required to just barely avoid a collision.

    Okay, I see! This answer was actually do a couple days ago and I got it wrong haha, but I still wanted to understand how to do it. Thank you for all of your help! I couldn't have done it without you :) I hope you have a fantastic night!
  14. A

    What is required to just barely avoid a collision.

    Oh ya, I forgot about the 1/2. Well because the prompt specifically states that it is moving in the positive x direction, does that mean that we pick which ever equation would come out positive?
  15. A

    What is required to just barely avoid a collision.

    Okay that equation did not turn out the way I expected. But basically I just did the quadratic equation
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