I need help with a project I am doing for my calculus class. I need to describe how using the 5 topics I have chosen can be used to create a 3-D imaginary space of mountains with trees clouds and a road.
Differential Equation
Parametric Equations
Vectors
Partial Derivatives
Differential Equations
I need to have 3 topics from each of the above that describes how they could somehow be used to describe this space or movement in this space. I also need one actual math problem to use as an example from each of the above. Finally, I need the following questions answered:
· How might the designers or users of such a space use slope fields to describe some key aspect of that space?
· What would that information convey to someone else about the space?
· How do you use math tools to describe the terrain so that the appropriate construction equipment can be brought to the right place?
· Where do you place the origin of a coordinate system—the place from which vectors are drawn?
· What component of the location vector represents gravity?
Each question should be thoroughly answered. In total, there should be the 5 math problems as examples, about a page of writing for the answers of the questions, and the 5 topics will have 3 examples each of how the math can be used should also be about a page or two long. I need the project completed within 18 hours of the posting.