5) Have you considered actually answering the question? It asks for A and B and you have supplied only one value. How can that be right?
Think about the most basic algebra and geometry. Remember the Point Slope form of a line? (y-y0) = m(x-x0). That's all you need to know.
We have x0 = 0, that gives y0 = sin(6(0)) = sin(0) = 0
Further, if f(x) = sin(6x), we have f'(x) = 6cos(6x) and immediately m = f'(0) = 6cos(6(0)) = 6cos(0) = 6(1) = 6.
Putting it all together (y-y0) = m(x-x0) leads to (y-0) = 6(x-0). Simplifying a bit, we get y = 6x and we see that A = 0 and B = 6.
You show us the next one. 4 - maybe?