Recent content by shwin

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    Undergrad Newton's Method for Approximating f(x,y) & g(x,y)

    Both, I am not sure how to use it for one and for the other. And yes I meant approximate solutions, I assumed it was just semantics but obviously it isnt.
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    Undergrad Newton's Method for Approximating f(x,y) & g(x,y)

    lets say i have the functions f(x,y) = cos(x-y) - y and g(x,y) = sin(x+y) - x. I want to use Newton's method to approximate these functions. Do I just take the partial derivatives with respect to x and y of each function and plug in a given point (a,b)?
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    Tricky joint-density function problem

    So now we are looking at P(y - x > L/2) then?
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    Tricky joint-density function problem

    5L/6? Sorry I am really lost on this problem, and part b is no easier...how would I satisfy the triangle inequality for this? I know they involve the three lengths being x, y - x, and L - y, but I don't know how to set up a double integral to satisfy the inequality. I think that with this and...
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    Graduate How Can We Visualize the Unit Cube in \( \mathbb{R}^4 \)?

    I'm having trouble visualizing [tex]\ R^{4}[/itex](a domain of reals in four dimensions). 1. Describe a procedure in given 3 vectors, finds a fourth vector perpendicular to those three. Explain why we can use it in analogous fashion to the normal vector to a plane in [tex]\ R^{3}[/itex]. Here...
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    Tricky joint-density function problem

    So the limits of integration for dx is (0, L/2) and the limits of integration for dy is (L/3 + x, L)?
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    Tricky joint-density function problem

    So then how would I find those limits? I mean, the two points are randomly selected, so what limits of integration would I establish to ensure that the difference between y and x is greater than L/3?
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    Undergrad Evaluate Integral: Arctan(πx) - Arctan(x) from 0 to 2

    How does one evaluate \int (arctan(pi*x) - arctan(x))dx from 0 to 2 by rewriting the integrand as an integral?
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    Graduate Constructing a Stiffness Matrix for Research on Rat Scoliosis

    Hi all, I am doing a research project on how vertical tractional forces (applied at the tail of rats) affect scoliosis. I know the lateral deviations for each weight at specific columns of the spinal cord...however, I want to assess the lateral force at each specific point due to the vertical...
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    Tricky joint-density function problem

    Homework Statement Two points are selected randomly on a line of length L so as to be on opposite sides of the midpoint of the line. This means that their joint density function is a constant over the region A = (0, L/2) x (L/2, L); normalization to 1 defines the constant. a. Find the...
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    Undergrad Physics of Straightening a Bow

    Oh, I was thinking of a model where pulling down on one end of the structure leads to a straightening out effect.
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    Undergrad Physics of Straightening a Bow

    Iknow bows are made in that respect, but this is related to a project I'm doing with a bow appearing to be a suitable model of reference.
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    Undergrad Physics of Straightening a Bow

    I mean, in terms of applying a force to one end to straighten the bow out. Thanks for the article also...I just wish I had a credit card :(