Converting between Polar and Cartesian Coordinates

In the first part of this example, we’re asked to first of all plot these points which are given in polar coordinate form. And then also to convert polar to Cartesian coordinates. So let’s actually start by plotting the points. Now remember when you’re looking at a point in polar coordinates, the first coordinate represents […]

A Gaussian integral with polar coordinates

>>We’ve talked about the function e to the minus x squared before and how there is no antiderivative. There is no formula for its antiderivative. It has an antiderivative, but the formula cannot be written in closed form, and that means that doing integrals involving e to the minus x squared dx are very, very […]

Double Integrals in Polar Coordinates – Example 2

Welcome to a second example of converting a double integral in rectangular form to polar form. As we discussed in a previous video. To convert a double integral in rectangular form to polar form. We have to convert the function f of x, y into a function in terms of r and theta. And differential […]

Slopes of Polar Curves

Okay, now that we have described what a polar curve is, curves and polar coordinates where we had the radius as a function of theta, what we want to do is we want to do calculus with these polar curves. We want to figure out how do you get the slope of the tangent line, […]

Horizontal and Vertical Tangent Lines to Polar Curves

Welcome to a video on Horizontal and Vertical Tangent Lines to Polar Curves. In the last video we discussed how to find dy/dx,when the equation is in polar form, using this formula here. So to determine where a tangent line is horizontal or vertical, we just need to draw some conclusions, about this formula. What […]