Solve the questions and write how did you did them in words... So that I could learn how to do them

2. Consider the function f(x) =x3 -6x2 +5. a. Find all critical points, local maxima, and local minima of this function. b. Find the global max and min on interval [-1,7].3. The manager of a 100-unit apartment building knows from experience that all the units will be occupied if the rent is $800 per month. A market survey suggests that, on average, one additional unit will remain vacant for each $10 increase in rent. a. Find a function that gives the number of units occupied N as a function of the rent charged, x, in dollars. b. Find a function that gives the revenue in dollars as a function of the rent charged. c. What rent should the manager charge to maximize the revenue? Also do the following exercises from the textbook: Chapter 2, #100, 116, 118, 122 A "tv OODEG T % A & 8148 Written Assignment 3 AAA Write careful, complete solutions for the following problems and submit them according to Directions for Submitting Written Assignments, under Orientation to Online MATH 148 in the Canvas classroom. 1. Let fbe a continuous function. The graph of its derivative f ' is shown below. "There is no such place" is a possible answer for any of these. as 4 = f ' ( x ) 10 - X a. Write all the x-values where the function fhas critical points. Explain briefly how you know. b. Write all the x-values where the function fhas a local maximum. Explain briefly how you know. c. Write all the x-values where the function fhas a critical point that is neither a local maximum nor a local minimum. Explain briefly how you know. d. Write all the x-values where the function fhas an inflection point. Explain briefly how you know. e. Which is larger: f(2) or f(4)? How do you know? stv EG T 61 9 delet