Solution Found!
A polar conic section Consider the equation r2 = sec 2.a.
Chapter 8, Problem 37RE(choose chapter or problem)
A polar conic section Consider the equation \(r^{2}=\sec 2 \theta\).
a. Convert the equation to Cartesian coordinates and identify the curve.
b. Find the vertices, foci, directrices, and eccentricity of the curve.
c. Graph the curve. Explain why the polar equation does not have the form given in the text for conic sections in polar coordinates.
Questions & Answers
QUESTION:
A polar conic section Consider the equation \(r^{2}=\sec 2 \theta\).
a. Convert the equation to Cartesian coordinates and identify the curve.
b. Find the vertices, foci, directrices, and eccentricity of the curve.
c. Graph the curve. Explain why the polar equation does not have the form given in the text for conic sections in polar coordinates.
ANSWER:Solution 37REGiven the equation Step 1:(a).Convert the equation to Cartesian coordinates and identify the curve. is the cartesian form of the given equation.This satisfies the general equation of a hyperbola