5. For the relationship defined by the parametric equations x(t) = -t+1, y(t) t²+4t: dy dx a. Find the value of at t = 3. Use the given parametric equations for the analysis and calculation. Include the found information in your plot (b) b. Neatly graph the directed curve represented by these parametric equations, on the interval -11≤3. Label at least four distinct points on the curve with the corresponding parameter (t) value. c. Eliminate the parameter to find the corresponding rectangular equation.

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.6: Parametric Equations
Problem 2ECP
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5. For the relationship defined by the parametric equations x(t) = -t+1,
y(t) t²+4t:
dy
dx
a. Find the value of at t = 3. Use the given parametric equations for the
analysis and calculation. Include the found information in your plot (b)
b. Neatly graph the directed curve represented by these parametric equations, on the interval -11≤3. Label at least four
distinct points on the curve with the corresponding parameter (t) value.
c. Eliminate the parameter to find the corresponding rectangular equation.
Transcribed Image Text:5. For the relationship defined by the parametric equations x(t) = -t+1, y(t) t²+4t: dy dx a. Find the value of at t = 3. Use the given parametric equations for the analysis and calculation. Include the found information in your plot (b) b. Neatly graph the directed curve represented by these parametric equations, on the interval -11≤3. Label at least four distinct points on the curve with the corresponding parameter (t) value. c. Eliminate the parameter to find the corresponding rectangular equation.
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