College Differential Calculus. Answer questions in images and show your steps. Desmos link to graph: https://www.desmos.com/calculator/0pdnaxk5gx

In both questions you will explore the function H(z) = (2) = 2 where C is a positive parameter. By the end of these questions you will have shown a result known to ancient mathematicians, and you will be better prepared to help a friend move a couch through a tight hallway. Throughout this assignment we will use the notation R, (where a is a positive real number) to represent the rectangle whose bottom left corner is the origin (0, 0) and whose top right corner is the point (a, H(a)). For exam- ple, R3 is the rectangle whose bottom left corner is the origin (0, 0) and whose top right corner is the point (3, C/3). You will be using and adding to this Desmos graph: https://www.desmos.com/calculator/0Opdnaxkbgx (3) Let a be a positive real number. Compute the area of the rectangle R,,. (4) Let 0