In what ways do the civilizations of china, europe, and the islamic world in the fifteen century seem to be moving in the same direction, and in what respects were they diverging from one another? < < read less

In the fifteenth century, all three regions were making great advancement in culture and science/technology. Examples include art, architecture and exploration in Europe, Mathematics and art in the Islamic world, and new and groundbreaking inventions coming from China. We also see increased interaction and cultural exchange between the three regions through exploration and trade networks, such as the Silk Road.

However, we see divergence in power struggles between the regions, such as the battle in Spain between Islamic and Christian elements. We also see China retaining its characteristically closed nature in many ways, while Europe was increasingly looking outward and trying to establish a presence (or dominance) around the world.

True is the answer. hthhth

You're asking in the ap section, so i'll give the ap calculus-style answer. alternatively, you can find the vertex of the parabola and use the "y"-coordinate as the answer.

the maximum height can occur at a critical number, that is, a number  such that  .

the derivative of  can be calculated as follows:



find a value of  that is a zero of the derivative:


this is parabola that is opening downward; we can assume there is a maximum at  .

to find that maximum, calculate  .