The image you've provided contains a series of math questions, primarily from calculus, probability, linear algebra, and geometry. Below is a brief outline of the types of problems presented:

1. Differential Calculus: Questions on differentiation and differential equations, including finding values of trigonometric derivatives and forming differential equations.

2. Logic and Proofs: Questions that involve logical statements, constructing truth tables, and analyzing statements for tautology or contradiction.

3. Probability: Problems dealing with probability, including questions on random variables, the binomial distribution, and expected values.

4. Linear Algebra: Matrix operations, including finding the inverse of a matrix using elementary transformations and understanding transformations.

5. Geometry and Trigonometry: Questions involving vector equations of planes, angle calculations between lines, and geometric proofs involving triangles and circles.

6. Miscellaneous: There are also specific problems on using vector methods for geometric properties and finding the expected value in probability setups.

Would you like a detailed solution for a specific question?

Further questions you may find useful:

1. How do I solve a differential equation with trigonometric functions?
2. What is the method for finding the contrapositive of a mathematical statement?
3. How do I construct the truth table for a compound logical expression?
4. How is the probability calculated when dealing with binomial distribution?
5. What steps are required to find the equation of a plane given points in vector form?

Tip:

When tackling math problems, especially in differential equations and probability, start by breaking down each part of the question to avoid errors and simplify complex expressions gradually.