Problem

(a) Eliminate the parameter to find a Cartesian e…

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Problem 15 Easy Difficulty

(a) Eliminate the parameter to find a Cartesian equation of the curve.
(b) Sketch the curve and indicate with an arrow the direction in which the curve is traced as parameter increases.

$ x = t^2 $, $ \quad y = \ln t $

Answer

(a) (a) $y=\ln t \Rightarrow t=e^{y},$ so $x=t^{2}=\left(e^{y}\right)^{2}=e^{2 y}$
(b) Graph

Topics

Parametric Equations

Polar Coordinates

Calculus: Early Transcendentals

Chapter 10

Parametric Equations and Polar Coordinates

Section 1

Curves Defined by Parametric Equations

Discussion

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Video Transcript

the problem is part of a eliminated the permitted to find a Kardashian equation of the curve. So for part of pain behalf, why is he going to twenty, which is equal to then square root of ax, which is equal to one half max? So this is a competition question off the roof. How to be sketch the crew and indicated, weighs an aero direction of Edge of the Cliff is Trish. That's permitted increases so we can sketch the proof as follows. And if we can see one, tea increases from zero to infinity axe increases from zero to infinity. The best direction is the direction in which the crew, if it's tress that's permitted increases.

Wen Z.