💬 👋 We’re always here. Join our Discord to connect with other students 24/7, any time, night or day.Join Here!



Numerade Educator



Problem 12 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 = \dfrac{1}{2}\cos\theta $, $ \quad y = 2\sin\theta $, $ \quad 0 \leqslant \theta \leqslant \pi $


(a) $4 x^{2}+\frac{y^{2}}{4}=1, \quad-\frac{1}{2} \leq x \leq \frac{1}{2}, \quad 0 \leq y \leq 2$
(b) See Graph


You must be signed in to discuss.

Video Transcript

hard to pay. Eliminated the perimeter tto find a Kardashian question of the curves half x times two squire us Why over two square? It's equal to we'LL sign there, Squire Ah, sign faded square, which is equal to one. And what fate? Guys Between zero and pi we have Max is between well, half negative. About half and a half. Why is between Cyril on DH too? This is a Scottish in question of the curve. Had to be scats a curve and indicated with an arrow The direction invades. The kerf is traced as permit to increases. So from part of a half the crew is is half off. Thanks. So first we can scotch right here on one thing, Nancy from zero axe is they got to? Well, half. Why his secret to cereal at this point? No, my food isat little pie Axe is a ho too negative one half. Why is it the serial year This arrow? There's a direction invades the crew ifit's trist as permit to you, Chris