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 […]

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 […]

Polar coordinates 3 | Parametric equations and polar coordinates | Precalculus | Khan Academy

All right, let’s keep converting Cartesian functions to polar coordinates. The next one I have here is 3y minus 7x is equal to 10. I cut and pasted our tool kit here, and let’s see what we can do. We want to convert this to a function of r and theta. So the simplest thing, […]

Area Between Polar Curves (KristaKingMath)

Hi, everyone. Welcome back to integralcalc.com. Today, we’re going to be finding the area between two polar curves. And in this particular problem, we’ve been asked to find the area that lies inside the polar curve r equals 1 plus 2 cosine of theta and at the same time outside the polar curve, r equals […]

Worked example: Area between two polar graphs | AP Calculus BC | Khan Academy

– [Voiceover] We have two polar graphs here, r is equal to 3 sine theta and r is equal to 3 cosine theta and what we want to do is find this area shaded in blue. That’s kind of the overlap of these two circles. So I encourage you to pause the video and give […]

Example: Convert a Point in Rectangular Coordinates to Polar Coordinates Using Degrees

– NOW WE’LL TAKE A LOOK AT TWO EXAMPLES OF CONVERTING A POINT IN RECTANGULAR COORDINATES TO POLAR COORDINATES. THIS FIRST EXAMPLE IS PRETTY STRAIGHTFORWARD AND THE SECOND ONE’S A LITTLE MORE CHALLENGING. THE FIRST STEP WE WANT TO IDENTIFY THE GIVEN COORDINATES IN RECTANGULAR FORM. SO THIS POINT WOULD BE THE ORDERED PAIR (4,1), […]

Surface Area of the Revolution of a Polar Curve

Welcome to a video on the Surface Area of Revolution Using Polar Equations. The goal of the video is to determine the surface area formed by rotating a polar curve about the polar axis.Or theta equals pi over 2. So if r equals f of theta is differentiable on the closed interval then the surface […]