What is the value of the function when x = 1 in the piecewise function g(x) = { 3 x when x > 1 − 2 x when x ≤ 1

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

Emmanuel added 888 links per minute to his chain mail. allesia started 202020 minutes after emmanuel and added 131313 links per minute to her chain mail. how long had emmanuel worked when allesia caught up to him, and how many links had he added?

Your company will replace the asphalt roofs on all the buildings at the factory complex shown below. the buildings have flat roofs. you charge according to the total roof area. what is this area, in square yards?