1. Math
  2. Calculus
  3. 9 motivation consider changing to a polar coordinate system in...

Question: 9 motivation consider changing to a polar coordinate system in...

Question details

9. Motivation: Consider changing to a polar coordinate system in a double integral. Conversion to a polar coordinate system is often the solution when a double integral is diticult or impossible to evaluate in a Cartesian coordinate system. Since the bounds of integration are determined by both r and 0, success of the conversion hinges not only on knowing the conversion formulas but also on a familiarity with polar equations and their graphs. Find a polar equation for the curve represented by the given Cartesian equation, then graph the curve over the interval 0 < θ < π. (a) 2 V2y (b) y 2 (c) 1x2+(y - 1)2 Motiuation: Use a change of variables to rewrite an integral. 0
Solution by an expert tutor
Blurred Solution
This question has been solved
Subscribe to see this solution