Here are the correct answers for Section A of the mathematics paper:

1. D. $\frac{\pi}{2}$
2. A. 0
3. C. $\frac{5}{2}$
4. B. $\left[-\frac{1}{3}, \frac{1}{3}\right]$
5. D. $y = e^{2x} + 1$
6. D. $\begin{bmatrix}1 & 1 \\ 1 & 1\end{bmatrix}$
7. C. 12, 8
8. A. $\pm\frac{2}{3}$
9. B. -240 ms$^2$
10. C. $\frac{27}{2}$ sq. units
11. B. Unique solution
12. C. 2
13. A. 0
14. A. Associative law of addition
15. B. $\frac{\tan x}{5} + C$

Would you like a detailed explanation for any of these answers, or do you have any other questions?

Related Questions:

1. How would you solve for $x$ if $\sin(x) + \cos(x) = 1$?
2. What is the general approach to solving definite integrals of trigonometric functions?
3. How can you determine the area of a region bounded by a curve and the x-axis?
4. What is the associative law of matrix addition, and how does it apply in higher dimensions?
5. Can you derive the derivative of $f(x) = e^{2x} + 1$?

Tip:

Always double-check the domain and range of trigonometric functions, especially when solving equations involving inverse trigonometric functions.