Question

Translation to the question

The curve y=2x-x^2 contains along with the x-axel an area. See figure. Calculate the triangles maximum area. Answer exactly.

Answer 1

Here Is the Answer:

`1/2 * 2 * 1 = 1` square unit.

Explanation:

To find the maximum area of the triangle, we need to locate the vertex of the parabola. This occurs when x=1. The y-coordinate at x=1 is 1. We can then use this as the height of the triangle. The base of the triangle is the distance between x=0 and x=2, which is 2. Therefore, the maximum area of the triangle is 1/2 * 2 * 1 = 1 square unit.