Solution Found!
Solved: Parametric curvesa. Flat the following curves,
Chapter 8, Problem 4RE(choose chapter or problem)
Parametric curves
a. Plot the following curves, indicating the positive orientation.
b. Eliminate the parameter to obtain an equation in x and y.
c. Identify or briefly describe the curve.
d. Evaluate dy/dx at the specified point.
x = 10 sin 2t, y = 16 cos 2t, for \(0 \leq t \leq \pi\); evaluate dy/dx at \((5 \sqrt{3}, 8)\).
Questions & Answers
QUESTION:
Parametric curves
a. Plot the following curves, indicating the positive orientation.
b. Eliminate the parameter to obtain an equation in x and y.
c. Identify or briefly describe the curve.
d. Evaluate dy/dx at the specified point.
x = 10 sin 2t, y = 16 cos 2t, for \(0 \leq t \leq \pi\); evaluate dy/dx at \((5 \sqrt{3}, 8)\).
ANSWER:Solution 4REStep 1:Given thatx = 10 sin 2t, y = 16 cos 2t, for 0 t