Recent content by mamma_mia66

  1. M

    Solving the Homogeneous Equation y2dx -x(2x+3y)dy =0

    Homework Statement y2dx -x(2x+3y)dy =0 I have to recognize the equation and solve it Homework Equations The Attempt at a Solution I did y2dx - (2x2+ 3yx) dy=0 which is a homogeneous now after I substitude x=uy dx=udy + ydu I stuck here after the substitution...
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    Comparing Numerical Methods for ODEs: Euler, Heun, and Runge-Kutta

    Please someone help me how to find information about the advantages and disadvantages of each method (Euler, Heun and Runge-Kutta). I surched in google and there is nothing useful posted there. We using Dennis Zill textbook for First course of DE. I need to kind of compare them before I use one...
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    Vector Calculus Homework: Evaluate \int F dr

    Thank you so much . I did finish the problem. I found the potential function and I pluged in the given points for y and x.
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    Vector Calculus Homework: Evaluate \int F dr

    Homework Statement Evaluate \int F dr if F(x,y) =(6x2 +4y) i + (4x-2y) j and the curve C is a smooth curve from (1,1) to (2,3). Homework Equations The Attempt at a Solution I took partial derivatives with respect of y for the first term and with respect of x for the second...
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    Calc III Vector Fields: Finding Conservativity and Potential Function

    Thank you so much. I found a mistake, it is conservative and I found the potential function.
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    Calc III Vector Fields: Finding Conservativity and Potential Function

    Homework Statement Show that the vector field given is conservative and find its potential function. F(x, y, z)= (6x^2+4z^3)i +(4x^3y+4e^3z)j + (12xz^2+12ye^3z)k. Homework Equations The Attempt at a Solution When I take partial derivative with respect of y for...
  7. M

    World Series, probability of victor with evenly matched teams

    it is not binomial distribution, it is like fliping coins: a) is (1/2)^4 x (1/2)^4 for the two teams b) is AABABBA which is 1,2, 4 and 7 win games for team A and 3,5 and 6 for team B which is (1/2)^4 x (1/2)^3 c) is how many ways d) I don't know yet, I am trying :confused:
  8. M

    World Series, probability of victor with evenly matched teams

    I don't think that I completely understand your answer, but Thank you.
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    World Series, probability of victor with evenly matched teams

    Homework Statement When two teams meet in the World Series, they play a series of games which stops when one team has won four games (a "best-of -seven" series). The team in the World Series are A and B. (a) If the two teams are evently matched, what is the probability that the World...
  10. M

    Find r(t): Given Initial Conditions

    I get it now. I need to integrate the given. Thank you.
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    Find r(t): Given Initial Conditions

    Homework Statement Given \vec{}r"(t)= 6i-4cos (2t)j+ 9e3tk, r'\vec{} (0)= 4i +3k and r\vec{}(0)=j+k, find r\vec{}(t). Homework Equations The Attempt at a Solution I will appreciate any ideas how to start this problem. Thank you.
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    Solving the Equation of a Sphere with Diameter Endpoints

    r= sq. rt. (3-1)2+ (1-0)2+(2-1/2)2= 21/4
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    Solving the Equation of a Sphere with Diameter Endpoints

    I am not sure that I know how to find the r ? too old to remember it after so many years not being in school.
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    Solving the Equation of a Sphere with Diameter Endpoints

    Homework Statement Write the equation of the sphere whose diameter has endpoints at (-1,1,-3) and (3,-1,2). Homework Equations The Attempt at a Solution (x-x1)2+ (y-y1)2+ (z-z1)2= r2 the center of the sphere is : (1,0,-1/2) r= \sqrt{}5/4 then the equation is...
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