List of top Mathematics Questions

Multiply the matrices: \[ \left[ \begin{matrix} 1 & 2 \\ 3 & 4 \end{matrix} \right] \left[ \begin{matrix} 4 & 0 \\ 0 & 4 \end{matrix} \right] \]

Multiply the matrices: \[ \left[ \begin{matrix} 2 & 5 \\ 3 & 7 \end{matrix} \right] \left[ \begin{matrix} 2 & 5 \end{matrix} \right] \] \\

Find the product of the matrices: \[ \left[ \begin{matrix} 3 & -2 \\ -1 & -1 \end{matrix} \right] \]

Multiply the matrix: \[ \left[ \begin{matrix} 4 & -2 \\ \end{matrix} \right] \] \[ \left[ \begin{matrix} -1 \\ -1 \end{matrix} \right] \]

Find the adjoint of the matrix: \[ \left[ \begin{matrix} 2 & 3 \\ 5 & 4 \end{matrix} \right] \]

Find the integral: \[ \int e^{3x} \, dx \]

Find the integral: \[ \int x^m \cdot x^n \, dx \]

Find the derivative: \[ \frac{d}{dx} \left[ \left| \frac{x}{4} \right| \right] \]

Find the derivative: \[ \frac{d}{dx} \left[ \sin^{-1}\left( 2x \sqrt{1 - x^2} \right) \right] \]

Evaluate the integral: \[ \int e^{2x} \, dx \]

Find the derivative of \[ \frac{d}{dx} \left( \lim_{n \to 1} \frac{x^n - 1}{n+1} \right). \]

Evaluate the integral: \[ \int_{\alpha}^{\beta} \varphi(x) \, dx + \int_{\beta}^{\alpha} \varphi(x) \, dx \]

Find the integral of \( e^x \) from 0 to 2.

Find the derivative of \[ \frac{d}{dx} \left( \log_3 x \cdot \log_x 3 \right). \]

Find the derivative of \[ \frac{d}{dx} \left( \log x^{100} \right). \]

Find the derivative of \[ \frac{d}{dx} \left\{ \left| x \right|^2 \right\}. \]

Find \( \frac{d}{dx} \left(e^{3-2x}\right) \).

Find the integral of \( 2x + 1 \).

Addition theorem of probability is.

Find the integral of \( \sin^{13} x \cos^{12} x \).

If odds in favor of event \( E \) are \( a : b \), then \( P(E) = \).

Multiplication theorem of probability is.

Find the value of \( (k \times j) \cdot i \).

Evaluate the expression \( (i \times j) + (i \times i) \).

The maximum value of \( Z = 3x - y \) subject to the constraints \[ x + y \leq 8, \quad x \geq 0, \quad y \geq 0 \text{ is}. \]