You've uploaded a set of mathematics questions. Let me solve one for you. Which problem would you like me to start with? Here are the topics covered in the image:

1. Solving cubic equations and indicating the roots in the coordinate plane.
2. Mathematical induction proof for divisibility.
3. Sphere equation in 3D geometry.
4. Permutations with specific conditions.
5. Coordinate rotation and equation transformation.
6. Graphing a trigonometric function.
7. Calculus: finding intervals of increase/decrease, maxima/minima, and concavity.
8. Volume calculation of a solid using integral methods.

Let me know which one you'd like to explore first!