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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 !=
  • Determining the horizontal asymptote - Physics Forums
    My interest is on the horizontal asymptote, now considering the degree of polynomial and leading coefficients, i have ##y=\dfrac{2}{1} =2## Therefore ##y=2## is the horizontal asymptote The part that i do not seem to get is (i already checked this on desmos) why an asymptote can be regarded as such if it is crossing the curve
  • 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


















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