Asymptotes
Excercise on Asymptote
Last Updated: January 20, 2025The concept of Asymptotes has a rich history rooted in mathematics. Asymptotes play a significant role in understanding curves and their behavior. Their importance lies in applications across calculus, physics, and engineering. This post explores exercises on Asymptotes to enhance your understanding of this essential topic in Differential Calculus. Introduction Asymptotes are lines or curves...
1-Obtain The Asymptotes of The Curve
Last Updated: September 24, 2024Obtain The Asymptotes of The Curve \(\pmb{ y^{3}+x^{2}y+2xy^{2}-y+1=0}\) Answer: The given curve is \begin{align*} \pmb{ y^{3}+x^{2}y+2xy^{2}-y+1=0} \end{align*} (a) To find the vertical asymptotes: The coefficent of the highest power of \(\pmb{ y}\) (i.e., \(\pmb{ y^{3}}\) ) is \(\pmb{ 1}\) . Therefore there is no vertical asymptote. (b) To find the horizontal and oblique asymptotes:...
