Consider the following parametric equations. Answer parts a. through d. x=t2, y=t−3; −4≤t≤4 a. Make a brief table of values of t, x, and y. t −4 −2 0 2 4 x(t) enter your response here enter your response here enter your response here enter your response here enter your response here y(t) enter your response here enter your response here enter your response here enter your response here enter your response here b. Plot the points in the table and the full parametric curve. The graph below shows the parametric function for −4≤t≤4 and the points found in the table.
Consider the following parametric equations. Answer parts a. through d. x=t2, y=t−3; −4≤t≤4 a. Make a brief table of values of t, x, and y. t −4 −2 0 2 4 x(t) enter your response here enter your response here enter your response here enter your response here enter your response here y(t) enter your response here enter your response here enter your response here enter your response here enter your response here b. Plot the points in the table and the full parametric curve. The graph below shows the parametric function for −4≤t≤4 and the points found in the table.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Consider the following parametric equations. Answer parts a. through d.
x=t2, y=t−3; −4≤t≤4
a. Make a brief table of values of t, x, and y.
t | −4 | −2 | 0 | 2 | 4 |
x(t) | enter your response here | enter your response here | enter your response here | enter your response here | enter your response here |
y(t) | enter your response here | enter your response here | enter your response here | enter your response here | enter your response here |
b. Plot the points in the table and the full parametric curve. The graph below shows the parametric function for −4≤t≤4
and the points found in the table.
and the points found in the table.
c. Eliminate the parameter to obtain an equation in x and y. Solve y=t+10 for t.
d. Describe the curve.
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