(a)
To graph:For the given parametric equations.
(a)
Explanation of Solution
Given information:
The given parametric equationsis.
Graph:
Create a table to plot the graph.
The graph for the parametric equations using above table is shown in figure (1).
figure (1)
Interpretation:Graph for the parametric equations
(b)
To find:The equation for the curve in rectangular coordinates by eliminating parameter and type of the curve.
(b)
Answer to Problem 4CRT
The equation for the curve in rectangular coordinates by eliminating parameter is
Explanation of Solution
Given information:
The given parametric equationsis.
Calculation:
Eliminate the parameters by solving
Squaring on both side of the second parametric equation.
Using the formula
The type of graph for the above equation is parabola.
Therefore, the equation for the curve in rectangular coordinates by eliminating parameter is
Chapter 9 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning