Tomorrow's my test and there are a few concepts that I have to work on.

1. Sketch the region bounded by the graphs of the equations, and determine its area.

Answer: A=16

My main problem with this is getting rid of the

from under so I can begin to integrate.

rewrite as , then integrate.
2. Find the particular solution of the differential equation

whose graph passes through the point (2,1) and is tangent to the line

at that point.

I already found that

and

. What now? I don't get what the question is asking me.

f''(x) = 6x-6 f'(x) = 3x^2 - 6x + C ... did you calculate the constant of integration? what information did they give you that might help you find it?

3. Use the Second Fundamental Theorem of Calculus to find

.

F(x)=(integration sign, x between 0 and x)

Answer=

I know that

is the antiderivative of the inside of the integration symbol, but I don't understand how to find

.

your "answer" is incorrect.