Calc homework help!!!

I think I have a good idea of what to do, I just don't really understand the steps on how to get to the answers.

. Question 2 0.75/1 pt 1 5 7 0 Details Suppose f is a continuous function where f(8) = 6 and f' (8) = 5. The equation of the line tangent to the graph of y = f(x) at x = 8 will be y = So f(a) ~ for x close to x = 8. Based on this, f(8.7) ~ A solution to f(x) = 0 is a ~ Question Help: B Written Example Message instructor Submit Question Jump to Answer0 Question 4 E on pt '0 5 3 3 G) Details Suppose f is a function with f(1) = 17 and f'(1) = 7. Estimate the following values of 3'. Question Help: El Video 8 Message instructor Submit Question Jump to Answer 0 Question 5 B 0H pt '0 5 8 9 (D Details Suppose f is a function with f(9) = 48 and f'(9) = 6. Estimate the following values of f. 1%) e l:l no e l:l Question Help: I3 Message instructor Submit Question Jump to Answer 0 Question 7 E on pt '0 5 8 3 (0 Details Consider the function f(:L') = 2:2. It can be shown that the derivative of f is f'[:t:) = 2:31. Find L(:r:), the equation of the line tangent to the graph of f at a = 2. Me) = l Question Help: IE Message instructor Submit Question Jump to Answer 0 Question 8 a on pt '0 5 Z 3 (9 Details The point {13, 7) lies on a differentiable function gs). The tangent line to f[$) at a: = 13 also goes through the point (9, 41). What is f' (13) 2' ma) =i