In Problems 7 − 26 , graph the plane curve whose parametric equations are given, and show its orientation. Find the rectangular equation of each curve. x ( t ) = sin 2 t , y ( t ) = cos 2 t ; 0 ≤ t ≤ 2 π
In Problems 7 − 26 , graph the plane curve whose parametric equations are given, and show its orientation. Find the rectangular equation of each curve. x ( t ) = sin 2 t , y ( t ) = cos 2 t ; 0 ≤ t ≤ 2 π
Solution Summary: The author explains how to draw the parametric equation by plugging some values of t in the given equation and finding few points on the curve.
In Problems
7
−
26
,
graph the plane curve whose parametric equations are given, and show its orientation. Find the rectangular equation of each curve.
x
(
t
)
=
sin
2
t
,
y
(
t
)
=
cos
2
t
;
0
≤
t
≤
2
π
Problem 9:
(a) Find dy/dx as a function of t for the given parametric equations correctly.
In Problems 35–38, find parametric equations that define the curve shown
For problems 1 – 5 determine the length of the parametric curve given by the set of parametric equations. For these problems you may assume that the curve traces out exactly once for the given range of t’s.
Chapter 9 Solutions
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (4th Edition)
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Fundamental Theorem of Calculus 1 | Geometric Idea + Chain Rule Example; Author: Dr. Trefor Bazett;https://www.youtube.com/watch?v=hAfpl8jLFOs;License: Standard YouTube License, CC-BY