Question

Найти площадь фигуры, заданной на координатной плоскости неравенством

Answer 1

Найти площадь фигуры, заданной на координатной плоскости неравенством

Answer 2

Finding the Area of a Figure Defined by an Inequality on a Coordinate Plane

To find the area of a figure defined by an inequality on a coordinate plane, you can follow these steps:

1. Identify the inequality that defines the figure on the coordinate plane. 2. Graph the inequality to visualize the figure. 3. Determine the boundaries of the figure by finding the points where the inequality is equal to zero. 4. Calculate the area of the figure using the boundaries.

Let's go through an example to illustrate these steps.

Example: Find the area of the figure defined by the inequality y > x^2 - 1.

1. Identify the inequality: The inequality