Directions: Answer the following completely with a solution. 1. Find ~ ify = sin x dx 1+cos x 2. Find _ if y = 3x dx 2x-1 3. Evaluate " if y = (3x2 - 4x + 5) (5x +11). 4. Evaluate lim sin(x2-4) X-2 x-2 dx 5. Find " if y = cos (ex). 6. Find ~% if y = _2 and u = = x3 + 1. 7. Evaluate f'(x) if f(x) = 5In(cos(3x)). 8. Find " if y = In (sin x). 9. Find f'(2) if f(x) = |x -21. 10. Let f(x) = - . Find k so that lim f(x) does not exist. x-(-k+1) 11. Find the value of c when f'(c) = 0 for f(x) = 3x2 - 12x + 9, where 0 S x $ 4. 12. Find the equation of the tangent line to the graph of y = f(x) at x = -3 if f(-3) = 2 and f'(-3) = 5