Solution Found!
Working with parametric equations Consider
Chapter 8, Problem 14E(choose chapter or problem)
QUESTION:
Consider the following parametric equations.
a. Eliminate the parameter to obtain an equation in x and y.
b. Describe the curve and indicate the positive orientation.
\(x=e^{2t},\ y=e^t+1;\ 0\ \leq\ t\ \leq\ 25\)
Questions & Answers
QUESTION:
Consider the following parametric equations.
a. Eliminate the parameter to obtain an equation in x and y.
b. Describe the curve and indicate the positive orientation.
\(x=e^{2t},\ y=e^t+1;\ 0\ \leq\ t\ \leq\ 25\)
ANSWER:Solution 14EStep 1:a. Eliminate the parameter to obtain an equation in x and y.Given x = e2t, y = et + 1Take natural logarithm on both sides we get,Put in y = et + 1By using we get