Recent content by Umar

  1. U

    MHB Green's Theorem with Singularities

    Yup, I see it! Thank you for explaining it so easily (Yes). On a unrelated side note, these poles you mentioned are the singularities in the question, yes? So if we had a conservative vector field, and we wanted to compute the area using Green's Theorem over a region with a singularity, as in...
  2. U

    MHB Green's Theorem with Singularities

    So here's the question: You are given that F is a conservative vector field, except for singularities at the points (0,1), (2,0), (3,0), and (0,4). You are given the following information about line integrals around the following closed paths: 1) Around the curve C1 given by x^2 + y^2 = 2...
  3. U

    MHB Find a product solution to the following PDE

    Thank you so much for your time and help. I understand it now :)
  4. U

    MHB Find a product solution to the following PDE

    Okay so I got the following: X = ((4x+3)*x^2)/(2*k) + C Y = ((-5y+7)*y^2)/(2*k) + C So the general solution would be the product of these two functions. I'm given two initial conditions: u(0,0) = 6 and ux(0,0) = 9 With the first one, I get c = sqrt(6), but the second one doesn't even work...
  5. U

    MHB Find a product solution to the following PDE

    Thanks for the reply! I actually got to that part, it's just that when I go to integrate the two functions, I would be integrating with respect to X no? So would I just treat the small x as a constant? Same with the y? What would I do with the constant k? Sorry for all the questions, but if you...
  6. U

    MHB Find a product solution to the following PDE

    So I'm asked to use separation of variables to find a product solution to the given PDE: (5y + 7)du/dx + (4x+3)du/dy = 0 Since it says to find a product solution, I used the form u(x,y) = XY and plugged that into the PDE. However, I am getting stuck because I'm not sure how exactly I should...
  7. U

    MHB Markov Chains - Finding a Transition Matrix for Probabilities

    Hi! Just wanted to let you know that it worked, thanks for your help!
  8. U

    MHB Markov Chains - Finding a Transition Matrix for Probabilities

    Oh okay, I guess you're right with the columns having to add up to 1. I'll try that and report back what I get.
  9. U

    MHB Markov Chains - Finding a Transition Matrix for Probabilities

    Thanks for the reply! Your explanation really helped me to understand how to construct the transition matrix. So when I tried to solve the system for a31, a32 and a33, I got 1/29, 28/29 and 0 respectively. When I put this into my assignment website, I got 1/3... which I think was probably for...
  10. U

    MHB Markov Chains - Finding a Transition Matrix for Probabilities

    Hi! I have a question regarding making the transition matrix for the corresponding probabilities. The main problem I feel I have here is figuring out how to represent the probabilities in the question in the transition matrix. Like if something is 7 times more likely than something else.. Any...
  11. U

    MHB Sum of Infinite Series: Find 1/sqrt(2)

    Hey guys! I just have a question regarding finding the sum of an infinite series. Attached is the image of the question. I've tried to use the ratio test but it doesn't give me the result I need which happens to be 1/sqrt(2). I feel like this is one of those power series questions, but I'm not...
  12. U

    MHB Why Is My Series Error Estimate Calculation Incorrect?

    Hey, I have a quick question here from my assignment. I thought it did it right the first time but I got the wrong answer, and I can't possibly seem to find anything wrong with my solution. Any ideas? Link to Question: Imgur: The most awesome images on the Internet So, I started by solving...
  13. U

    MHB Converge or Diverge? Proving I & II Limits

    Hey! Sorry for not replying earlier but thank you so much for your help!
  14. U

    MHB Converge or Diverge? Proving I & II Limits

    So I have this question here from one of my assignments. I got the right answer, which is F, but I got it through eliminating other options (cos(n\pi)) diverges while sin(n\pi) obviously converges. I was thinking the only option would be IV, but the options for the answers included I and IV, or...
  15. U

    MHB What is the more appropriate method to solve for the limit in this scenario?

    I've got another limit question here, but I don't suppose you use the same method as last time for sure (rational). I essentially got (infinity)^0 and just assumed that to be equal to 1 which made sense to me. However, in my textbook and notes, (infinity) to the power of 0 is one type of an...
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