Recent content by Zenga

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    Transformation of variable (what happens with the area?)

    I am really thankful for your response!
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    Transformation of variable (what happens with the area?)

    Dear all, I have another question. :) How many pre-images has each (x,y)?
  3. Z

    Transformation of variable (what happens with the area?)

    I am really thankful for your response! Now it is getting exciting! :) I am interested how would we calculate ##f_{X,Y}(x,y)##?
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    Transformation of variable (what happens with the area?)

    Homework Statement Dear friends, let U and V independent variables that are both defined on [-∏, ∏] and are uniformly distributed. If x = cos(U + V) and y = sin(U-V), what is the area where the variables X and Y are defined? Homework Equations U + V = arccos(x) U - V = arcsin(y) For a test...
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    Calculating asymptote of the function

    I am looking for an oblique asymptote.
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    Calculating asymptote of the function

    I agree - there is no asymptote - we can only determine the angle of the slope to the graph in x = 0.
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    Calculating asymptote of the function

    Vorde, Bashyboy: I can only determine the "asymptote" as x approaches 0, which has a slope of -45° (first derivative of the function is -1 when x = 0). But you have probably something else in mind, isn't it?
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    Calculating asymptote of the function

    Homework Statement I would like to find an asymptote of the following function: f(x) = \sqrt{\frac{x^3}{x+1}} + x as x goes to negative infinity. 2. The attempt at a solution I calculated the limit of the function as x goes to -∞ which is ∞. However, this is not enough for me. I would like...