Solution Found!
Solution: Working with parametric equations Consider the
Chapter 8, Problem 10E(choose chapter or problem)
Consider the following parametric equations.
a. Make a brief table of values of t, x, and y.
b. Plot the points in the table and the full 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.
\(x=\ln 5t,\ y=\ln t^2;\ 1\ \leq\ t\ \leq\ e\)
Questions & Answers
QUESTION:
Consider the following parametric equations.
a. Make a brief table of values of t, x, and y.
b. Plot the points in the table and the full 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.
\(x=\ln 5t,\ y=\ln t^2;\ 1\ \leq\ t\ \leq\ e\)
ANSWER:SolutionStep 1: Table of the values of t, x and y:11.60901.21.7910.1821.41.9460.3361.62.0790.471.82.190.58722.300.6932.22.3970.7882.42.4840.8752.62.5640.955e2.6091