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 ) = t 3 / 2 + 1 , y ( t ) = t ; t ≥ 0
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 ) = t 3 / 2 + 1 , y ( t ) = t ; t ≥ 0
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.
Find a pair of parametric equations for y=
3(2-5)² +2. Show all your work for full credit.
Find the slope of the line whose parametric equations are x=4t+6 and y=t-1
Two objects E and F are traveling by the following parametrically defined functions
x = 2t - 4 x = 2ty = t - 1 y = t + 1
a. If the paths of the objects E and F intersect at (6,4), at what time do they intersect if the parameter t stands for time?
b. Write an equation d(t) that represents the distance between the two objects E and F at any point in time. Graph d(t).
c. What do you notice about the graph of d(t)? What does this tell us about the objects E and F?
Chapter 9 Solutions
Pearson eText for Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry -- Instant Access (Pearson+)
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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