Why can horizontal asymptotes be crossed? - Physics Forums
2007年8月5日 · In summary, horizontal asymptotes can be crossed in certain cases, as long as the function tends towards the asymptote at infinity and does not go beyond all possible …
Why is y=a a horizontal asymptote on the polar coordinates?
2010年6月8日 · A horizontal asymptote occurs when the curve approaches a horizontal line, such as r = 0. These types of asymptotes have specific equations and can have different effects on …
What is an asymptote and why doesn't parabola have one?
2007年10月1日 · A function f (x) has an asymptote if it "looks like" a straight line when x tends to . More precisely, if the distance tends to 0. A parabola doesn't have one. Suppose there was …
Determining the horizontal asymptote - Physics Forums
2024年4月9日 · In summary, determining the horizontal asymptote of a rational function involves analyzing the degrees of the polynomial in the numerator and denominator. If the degree of …
Asymptote of a curve in polar coordinates - Physics Forums
2017年4月14日 · The slope of the asymptote in polar coordinates can be determined by taking the derivative of the polar equation and evaluating it at θ = α. This will give the slope of the tangent …
Describing behavior on each side of a vertical asymptote - Physics …
2006年1月2日 · 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 …
Horizontal asymptotes - approaches from above or below?
2009年2月22日 · In summary, the conversation discusses the difficulty in determining whether the curve approaches a horizontal asymptote from above or below. The individual shares their …
Is x+y = -1 an oblique asymptote for the folium of Descartes curve?
2010年10月24日 · By rewriting the equation and using the definition of an oblique asymptote, we can show that x+y = -1 is an oblique asymptote for the curve. This means that as x …
Oblique Asymptotes: What happens to the Remainder? - Physics …
2011年10月24日 · In summary, when trying to find the oblique asymptote of a function with a non-linear denominator, we use polynomial long division to get the quotient and remainder. The …
Can time be modeled by an asymptote? - Physics Forums
2014年12月8日 · How is an asymptote different from a horizontal line? An asymptote and a horizontal line may appear similar on a graph, but they have different mathematical properties. …