1. Simplify the expression sin(tan ' (r) ). 2. Does lim I+-5 2c + 10 exist? Explain your reasoning. 3. Determine lim /12 - 9 I-+00 2r - 6 4. Show that there exists at least one solution to the equation e's = 3sin(r) on the interval [-4, 0]. 5. Suppose that f(0) = 2, f(2) = 3, f'(0) = -1, f(2) = 6, g(0) = 5, g(2) = 0, g(0) = 7 and g' (2) = 2. If y(x) = f(g(x)), determine y'(2). 6. Determine the derivative of f (I) = tan 7. Determine the equation of the tangent line to the implicitly-defined curve ray = y' - 6r at the point (2, -2). 8. Determine the slope of the tangent line to f(x) = 1"?) at I = 2