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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.

Explore the correct answers for Section A of the mathematics paper, covering topics such as trigonometry, calculus, and matrix algebra. Includes detailed solutions and explanations for each answer.

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