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  • Why is y=a a horizontal asymptote on the polar coordinates?
    Hi guys, I was trying to sketch a polar curve but my curve was different from the curve on maple(I plotted the same curve on maple) Homework Statement Here is the whole question, I am using t as theta The hyperbolic spiral is described by the equation rt=a whenever t>0,where a is a
  • Asymptote of a curve in polar coordinates - Physics Forums
    I understood the concept behind how this asymptote is calculated, but I am not very fluent in mathematics to convert the above information into a comprehensive proof Moreover, there is another statement that states that I have to make use of the information ## \lim_{\theta \rightarrow 0}x=+\infty##
  • Oblique Asymptotes: What happens to the Remainder? - Physics Forums
    An "asymptote" is a line that a curve approaches as x goes to, in this case, negative infinity and infinity Yes, long division gives a quotient of -3x- 3 with a remaider of -1 Yes, long division gives a quotient of -3x- 3 with a remaider of -1
  • Vertical Asymptote: Is f Defined at x=1? - Physics Forums
    Homework Statement True False If the line x=1 is a vertical asymptote of y = f(x), then f is not defined at 1 Homework Equations none The Attempt at a Solution I originally believed this was true, but on finding it was false it sought a counter example: if for example f(x) = 1 x if x !=
  • Horizontal asymptotes - approaches from above or below? - Physics Forums
    I seem to be having a lot of difficulty finding whether for a horizontal asymptote, whether the curve approaches the asymptote from above or below For example, for the problem y = \\frac{6x + 1}{1 - 2x}, I know that: For the vertical asymptote, x = 1 2, and that \\lim_{x \\to
  • Describing behavior on each side of a vertical asymptote - Physics Forums
    Find the vertical asymptotes of the graph of F(x) = (3 - x) (x^2 - 16) ok if i factor the denominator i find the vertical asymptotes to be x = 4, x = -4 The 2nd part of the problem asks: Describe the behavior of f(x) to the left and right of each vertical asymptote I'm not sure
  • Do polynomials have asymptotes? - Physics Forums
    It does depend on exactly what you mean by "asymptote" For example, in some sense, -x³ is an asymptote to 2 - 15x + 9x² - x³ And in some other sense, the vertical line x=0 is an asymptote to x² But let's ignore these other meanings for now! You have a conjecture, and the first thing you need to do is to figure out exactly what you want


















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