#### Solve the quadratic equation: \(x^2 - 7x + 12 = 0\)
a) x = 3, 4
b) x = 2, 6
c) x = 1, 12
d) x = -3, -4
Answer: A

#### What is the derivative of \(f(x) = 3x^2 + 2x - 1\)?
a) f'(x) = 6x + 2
b) f'(x) = 3x + 2
c) f'(x) = 6x - 1
d) f'(x) = \(x^2 + x\)
Answer: A

#### Evaluate the definite integral: \(\int_0^2 (x^2 + 1) dx\)
a) \(\frac{14}{3}\)
b) \(\frac{10}{3}\)
c) \(6\)
d) \(4\)
Answer: A

#### What is the limit: \(\lim_{x \to 0} \frac{\sin x}{x}\)?
a) 0
b) 1
c) \(\infty\)
d) Does not exist
Answer: B

#### If \(\log_2 8 = x\), then x equals:
a) 2
b) 3
c) 4
d) 16
Answer: B

#### The sum of the infinite geometric series \(\sum_{n=0}^{\infty} \frac{1}{2^n}\) is:
a) 1$
b) \(\frac{3}{2}\)
c) 2
d) \(\infty\)
Answer: C

#### Simplify: \(\frac{x^2 - 4}{x - 2}\) for \(x \neq 2\)
a) x + 2
b) x - 2
c) \(x^2\) + 4
d) 2x
Answer: A

#### What is \(\cos(\frac{\pi}{3})\)?
a) \(\frac{1}{2}\) 
b) \(\frac{\sqrt{3}}{2}\) 
c) \(\frac{\sqrt{2}}{2}\) 
d) 1
Answer: A

#### The matrix multiplication \(\begin{bmatrix} 1 & 2 \\ 3 & 4 \end{bmatrix} \begin{bmatrix} 2 \\ 1 \end{bmatrix}\) equals:
a) \(\begin{bmatrix} 4 \\ 10 \end{bmatrix}\)
b) \(\begin{bmatrix} 3 \\ 7  \end{bmatrix}\)
c) \(\begin{bmatrix} 2 \\ 6  \end{bmatrix}\)
d) \(\begin{bmatrix} 5 \\ 11 \end{bmatrix}\)
Answer: A

#### What is the value of \(e^{\ln 5}\)?
a) 1
b) 5
c) e
d) \(\ln 5\)
Answer: B

#### The Taylor series expansion of \(e^x\) around x = 0 starts with:
a) \(1 + x + x^2 + \ldots\)
b) \(1 + x + \frac{x^2}{2!} + \frac{x^3}{3!} + \ldots\)
c) \(x + \frac{x^2}{2} + \frac{x^3}{6} + \ldots\)
d) \(1 + 2x + 3x^2 + \ldots\)
Answer: B

#### If z = 3 + 4i, what is |z|?
a) 3
b) 4
c) 5
d) 7
Answer: C

#### The partial derivative \(\frac{\partial}{\partial x}(x^2y + y^3)\) is:
a) \(2xy\)
b) \(2xy + 3y^2\)
c) \(x^2 + 3y^2\)
d) \(2x + y^2\)
Answer: A

#### What is \(\int x e^x dx\)?
a) \(xe^x - e^x + C\)
b) \(xe^x + e^x + C\)
c) \(\frac{x^2 e^x}{2} + C\)
d) \(e^x + C\)
Answer: A

#### The eigenvalues of the matrix \(\begin{bmatrix} 3 & 1 \\ 0 & 2 \end{bmatrix}\) are:
a) 2, 3
b) 1, 3
c) 0, 2
d) 1, 2
Answer: A

#### What is \(\lim_{n \to \infty} \frac{n^2 + 3n}{2n^2 - n}\)?
a) 0
b) \(\frac{1}{2}\)
c) 1
d) \(\infty\)
Answer: B

#### The Fourier transform of \(f(t) = \delta(t)\) (Dirac delta function) is:
a) 0
b) 1
c) \(\delta(\omega)\) 
d) \(2\pi\delta(\omega)\)
Answer: B