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## Homework Statement

(x, f(x))

(2,1)

(3,4)

(5,-2)

(8,3)

(13,6)

A) Estimate f '(4). Show work.

B) Evaluate the Intergral from 2 to 13 of (3 - 5f '(x))dx. show work

C) Use left riemann sum with subintervals indicated bye the data in the table to apporoximate the intergral from 2 to 13 of (f '(x))dx. show work.

D) Suppose f '(5) = 3 and f ''(x) <0 for all x in the closed interval 5 <or= x <or= 8 to show graph of f at x=5 to show that f(7) <or= 4. use the secant lin for the graph of f on 5 <or= x <or= 8 to show that f(7) >or= 4/3.

## The Attempt at a Solution

I have no idea where to even begin... if you could just give me a starting point or an equation or something to start with that would be amazing!