Assignment:
Constructing Functions
A wire 10 meters long is to be cut into two pieces. One piece will be shaped as an equilateral triangle, and the other piece will be shaped as a circle.
a. Express the total area A enclosed by the pieces of wire as a function of the length x of a side of the equilateral triangle.
b. What is the domain of A?
c. Graph A = A(x). For what value of x is A smallest?
Provide complete and step by step solution for the question and show calculations and use formulas.