please answer from your own work on a paper providing all steps for good feedback.

9. 10. In these steps we will derive the formula for the area of a polar region. a] 11] Write down the formula for the area of a sector of a circle [like a slice of pie]. Draw the graph of your own madeup polar region from d = o. to d = b. It does not have to pass the vertical line test, but it is required that every value of d on the interval correspond with exactly one value ofr. Subdivide your polar region into approximating sectors. The curved edge of each sector should touch or cross the polar curve. The boundary lines of each sector are denoted by d values. The diiference in angle between an'yr pair of sector boundary lines can be written as Ed. Highlight or darken one of your sectors. Show its angle dilference as dd. Express the area of your highlighted sector using the formula from part a. To approximate the exact area of lIhe polar region, we need to add all the sector areas. What is the main factor that determines the accuracy of our approximation? How can we improve our approximation? Use all this information to derive a formula for the exact area of the polar region generated bythefunction r 2 Ha] from d = otod = I]. Find the areas. 51] bl The top half of the cardioid r = 2 + 2cos d. The re'on that lies inside both of the curves represented below. r=xlrcosd r=sind