Find the absolute maximum value and the ab DNE.) es not exist, enter Problem 3. (2 points) A function f(2) has the following firs Extra Credit #2 calePad ['(x) = x - br+6 CLASS: MATH 1329 Operations a) On which intervals does the graph of f(x) increase? decrease maximum x Functions NAME : x + Symbols wow all work. Credit will not be awarded if work is not shown. You may minimum leaf paper clearly labelling your by problem and denoting the answers. Once on Canvas. This is an extra credit assignment worth up to s points in the Test 2 Find the absolute maximum value and the absolute minimum value, if any, of the function. (If an answer does not exist, enter m 1. (2 points) Using derivative rules find: a) f'(z) given f(z) = shit b) What are any critical members ((x) = -x2 + 2x+ 2 on [3, 6] maximum minimum b) f'(z) given f(z) = In(23 + 4x). Find the absolute maximum value and the absolute minimum value, if any, of the function. (If an answer does not exist, enter DNE.) c) On which intervals is ((x) = 5x - 5 on [5, 7] c) S'(x) given f(z) = (23 +9)". maximum minimum d) f'(x) given ((z) = In(2). d) What are any inflection points on the graph off(x)? Find the absolute maximum value and the absolute minimum value, if any, of the function. (If an answer does not exist, enter 9(x) = x2 + 9x2/3 on [0, 1] maximum minimum SECTION: NAME : Show all work. Credit will not be awarded if work is not shown. You may Problem 2. (1 point) Given the equation s'y + ry' = z, use implic father print this document and work on the print or you may work on loose DNE.) Find the absolute maximum value and the absolute minimum value, if any, of the function. (If an answer does not exist, enter you have finished, scan your work and upload this scan to the Assignment on Canvas. This is an extra credit assignment worth up to 3 points in the Communicating Mathematics category of your grade. ((x) = xex on [0, 3] Maximize the volume of a box with an open top formed by cutting identical squares maximum from the corners of a single 8.5 in by 11 in sheet of paper and folding the flaps up. minimum MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER You are given the graph of a function f defined on the indicated interval. Find the co of the absolute maximum and the absolute minimum of f, if they exist. (If an answer does not exist, enter DNE.) Minimizing Construction Costs The management of the UNICO department store has decided to enclose a 913 ft? area $7/running foot and the steel fencing c sts $4/running foot, determine the dimensions of the enclosure that can be erected at minimum cost. (Round your answers to one decimal place.) STORE calcPad Ifdefined on [ 0, 96) [+ Operation absolute maximum (x. y) = Functions x ) X + Symbols rood side absolute minimum (x, y) = CH 1 Relations steel side Maximizing Profits An apartment complex has 100 two-bedroom units. The monthly profit (in dollars) realized from renting ut x apartment units is given by the following function. P(x) = -10x2 + 1,740x - 49,000 To maximize the monthly rental profit, how many units should be rented out? 1-/2.5 Pointsl DETAILS TANAPMATH? 105 021. units MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER What is the maximum monthly profit (in dollars) realizable? $ Flight of a Rocket The altitude in feet attained by a model rocket t seconds into flight is given by the function h(t). Find the maximum altitude (in ft) attained by the rocket. (Round your answer to the nearest foot.) h(t) = - -+3+ 2+2 + 12t + 25 (t 2 0) 2. 1-/25 Points DETAILS TANAPMATH? 10.5.01 1.ALL MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Blood Alcohol Level The percentage of alcohol in a person's bloodstream t hr after drinking 8 fluid oz of whiskey is given by the function below. A(t) = 0.18te-0.4t (0 s t s 12) At how long (in hr) after drinking the alcohol is the percentage of alcohol dstream at its highest level? (Round your answer to two decimal places.) t = hr What is the level (in %)? (Round your answer to three decimal places.) Home Moxhamgomeres ( Request Enters