1. The problem is to express the functions and their compositions in Maple syntax. 2. Maple uses := for function definitions and standard mathematical notation. 3. Define the functions as follows: - $f(x) = \sqrt{x}$ in Maple: f := x -> sqrt(x); - $f(x) = x^3$ in Maple: f := x -> x^3; - $f(x) = \frac{1}{x}$ in Maple: f := x -> 1/x; - $g(x) = e^x$ in Maple: g := x -> exp(x); - $g(x) = \sin(x)$ in Maple: g := x -> sin(x); - $g(x) = \ln(x)$ in Maple: g := x -> ln(x); 4. For the interval $0 < x < \pi$, you can evaluate or plot these functions within this domain. 5. To compute $\frac{f(x)}{g(x)}$ in Maple: h := x -> f(x)/g(x); 6. To compute the composition $f(g(x))$ in Maple: k := x -> f(g(x)); 7. Example Maple commands: ```maple f := x -> sqrt(x); g := x -> sin(x); h := x -> f(x)/g(x); k := x -> f(g(x)); plot([f(x), g(x), h(x), k(x)], x=0..Pi); ``` This defines the functions, their quotient, composition, and plots them over the interval $0 < x < \pi$. This is the general approach to write these functions and operations in Maple.