1.2.1 Determine the maximum value of A. Explain your answer. 1.2.2 For which value of \( x \) will A have a maximum value?

To determine the maximum value of \( A \), you can often rely on concepts from calculus, specifically finding the critical points of the function \( A(x) \) by taking the derivative \( A'(x) \) and setting it equal to zero. After locating these critical points, you can use the second derivative test to confirm which points correspond to a maximum. The value of \( x \) that gives you this maximum can typically be found from the critical point analysis. Once you've solved \( A'(x) = 0 \) for \( x \), you can also check the boundaries if applicable, depending on the domain of the function \( A(x) \).