Consider the function f(x) =x^x
. Find f(4)

An energy plant is looking into putting in a system to remove harmful pollutants from its emissions going into earth's atmosphere. the cost of removing the pollutants can be modeled using the function c = 25000p/100 -p what is the vertical asymptote?

Math it's appreciated. (picture provided)

Find the area of the region that is inside r=3cos(theta) and outside r=2-cos(theta). sketch the curves.