I have a BS in Mathematics and a BS in Physics. I have been a private tutor for 8 years. I have also worked as a teaching assistant to college level physics courses and labs. I am able to explain concepts in a way that makes them relatable.
A rancher has 200 feet of fencing to enclose two adjacent rectangular corrals (see figure).
(a) Write the area $ A $ of the corrals as a function of $ x $.
(b) Create a table showing possible values of $ x $ and the corresponding areas of the corral. Use the table to estimate the dimensions that will produce the maximum enclosed area
(c) Use a graphing utility to graph the area function. Use the graph to approximate the dimensions that will produce the maximum enclosed area.
(d) Write the area function in standard form to find analytically the dimensions that will produce the maximum area.
(e) Compare your results from parts (b), (c), and (d).