equations, x=4t​, y=−5t+6​; −10≤t≤10. Complete parts​ (a) through​ (d) below.   Make a brief table of values of​ t, x, and y.   t −10 −4 0 4 10 ​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

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Consider the following parametric​ equations, x=4t​, y=−5t+6​; −10≤t≤10.

Complete parts​ (a) through​ (d) below.

 

Make a brief table of values of​ t, x, and y.
 
t
−10
−4
0
4
10
​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​ (x, y) pairs in the table and the complete parametric​ curve, indicating the positive orientation​ (the direction of increasing​ t).
c. Eliminate the parameter to obtain an equation in x and y.
 
d. Describe the curve.
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