I took a math exam and want to see if I got these questions right. These are the ones I can remember.

3.) Integral of (sin x cos x) from x = -pi to x = pi.

We weren't allowed to ask questions so I didn't know if they wanted net area or all the area counted as positive, even the negative area so I put answer = 0.

6a.) Find dy/dx for the following equation of an hyperbola x^2 - y^2 = 9.

I got the answer dy/dx = -x/-y

6b.) What is the equation of the tangent line to the hyperbola at (3,0)

I put no such tangent line exists.