Ratio Test (continued from yesterday)

Today we learned about power series' centered at zero and applying the ratio test to these problems. Basically you're finding the x-values for which the ∑ converges. You have to pay attention to the type of ∑ you're looking at: geometric rules can apply here and save you some work. There are three possibilities of answers: 1) x=0; 2) x=all real numbers; 3) (-R,R).

polar area problems feb. 25

On Thursday , We covered polar area problems. We used geometry sketchpad to visualize the areas. By the end of this lesson you should be able to find the common area b/w function and the area inside of one function (outside the other function). We used the area integration formula in this lesson.
Things to remember: you must solve for each equation at the pole, you must be able to recognize when you have to set up 2 integrals, visualize first, make sure to find the point of intersection.

Hope it helps!