Required ResourcesRead/review the following resources for this activity:OpenStax Book: Chapter 2—Section 2.1LessonMinimum of 1 scholarly sourceIn your reference for this assignment, be sure to include both your text/class materials AND your outside reading(s).Initial Post InstructionsSuppose that you have two sets of data to work with. The first set is a list of all the injuries that were seen in a clinic in a month's time. The second set contains data on the number of minutes that each patient spent in the waiting room of a doctor's office. You can make assumptions about other information or variables that are included in each data set.For each data set, propose your idea of how best to represent the key information. To organize your data would you choose to use a frequency table, a cumulative frequency table, or a relative frequency table? Why?What type of graph would you use to display the organized data from each frequency distribution? What would be shown on each of the axes for each graph?Follow-Up Post InstructionsRespond to at least two peers or one peer and the instructor. Further the dialogue by providing more information and clarification.Consider how different distributions might affect the different graphs. How might other variables affect the graphs? How could graphs be made to be biased? If a graph were biased, how might you change it to guard against that bias?Writing RequirementsMinimum of 3 posts (1 initial & 2 follow-up)APA format for in-text citations and list of references

1.Use the graph of f(x) below to estimate the value of f '(-2): (4 points)-10142.Given the graph of f '(x), the derivative of f(x), which of the following statements are true about the graph of f(x)? (4 points)I. The graph of f has a critical point at x = 0. II. The graph of f has a critical point at x = 1. III. The graph of f has a point of inflection at x = 1.I onlyII onlyIII onlyI and III only3.Find the critical point of the function f(x) = x2 - 2x + 7. (4 points)(-1, 10)(-1, 6)(1, 0)(1, 6)4.For what values of x is the graph of concave upward? (4 points)No values of xx < 6x > -6x > 65.At what value(s) of x does f(x) = x4 - 18x2 have a critical point where the graph changes from decreasing to increasing?(4 points)0 and -3 only0 and 3 only-3, and 3 only0 only1.The maximum value of f(x) = 2x3 - 18x2 + 48x - 1 on the interval [0, 3] is (4 points)-13935712.In which interval is the function f(x) = - 4x2 + 12x + 1 increasing? (4 points)(-∞, 2) only(-∞, 2) U (6, ∞)(6, ∞) only(2, 6) only3.What are the critical values on the graph of y = x4 + 6x2 - 5? (4 points)x = -1 and 1x = -3, 0, and 3x = 0There are no critical values for this function.4.Find the x-coordinate of the point(s) of inflection on the graph of y = x3 - 12x2 - 5. (4 points)x = -2x = 4x = 2x = 125.Which one of the following statements is true? (4 points)If f ′′(x) > 0 on the interval (a, b), then f is concave up on the interval (a, b).If f ''(c) = 0, then x = c is an inflection point on the graph of f(x).If f is continuous on a closed interval [a, b], then f attains an absolute maximum value and f attains an absolute minimum inside the interval [a, b].None of these are true.1.Find the absolute maximum value of the function . (4 points)0412None of these2.In the answer space below, provide one of the two positive integers whose product is 196 and whose sum is a minimum. (4 points) 3.A farmer has 1,800 feet of fencing and wants to fence off a rectangular field that borders a straight river. He needs no fence along the river. Write the function that will produce the largest area if x is the short side of the rectangle. (4 points)f(x) = -2x2 + 1800xf(x) = -x2 + 1800xf(x) = x2 - 1800f(x) = 2x2 - 18004.What is the area of the largest rectangle with lower base on the x-axis and upper vertices on the curve y = 12 - x2? (4 points)81216325.If 600 cm2 of material is available to make a box with a square base and a closed top, find the maximum volume of the box in cubic centimeters. Answer to the nearest cubic centimeter without commas. For example, if the answer is 2,000 write 2000. (4 points)1.A particle moves with velocity function v(t) = - t2 + 5t - 3, with v measured in feet per second and t measured in seconds. Find the acceleration of the particle at time t = 3 seconds. (4 points) feet per second2-1 feet per second2-3 feet per second26 feet per second22.A particle is moving along the x-axis so that its position at t ≥ 0 is given by s(t) = (t)In(2t). Find the acceleration of the particle when the velocity is first zero. (4 points)2e22eeNone of these3.The driver of a car traveling at 60 ft/sec suddenly applies the brakes. The position of the car is s(t) = 50t - 2t2, t seconds after the driver applies the brakes. How many seconds after the driver applies the brakes does the car come to a stop? (4 points)12.5 sec10 sec15 sec60 sec4.The position of a particle on the x-axis at time t, t > 0, is s(t) = ln(t) with t measured in seconds and s(t) measured in feet. What is the average velocity of the particle for e ≤ t ≤ 2e? (4 points)ln25.A particle moves along the x-axis so that at any time t, measured in seconds, its position is given by s(t) = 4sin(t) - cos(2t), measured in feet. What is the acceleration of the particle at time t = 0 seconds? (4 points) 1.If y = 2x3 - 4x and , find when x = 1. Give only the numerical answer. For example, if = 3, type only 3. (4 points) 2.The area A = πr2 of a circular oil spill changes with the radius. At what rate does the area change with respect to the radius when r = 3ft? (4 points)6π ft2/ft3π ft2/ft6 ft2/ft9π ft2/ft3.A rectangular box has a square base with an edge length of x cm and a height of h cm. The volume of the box is given by V = x2h cm3. Find the rate at which the volume of the box is changing when the edge length of the base is 4 cm, the edge length of the base is increasing at a rate of 2 cm/min, the height of the box is 15 cm, and the height is decreasing at a rate of 3 cm/min. (4 points)The volume of the box is decreasing at a rate of 192 cm3/min.The volume of the box is increasing at a rate of 288 cm3/min.The volume of the box is decreasing at a rate of 288 cm3/min.The volume of the box is increasing at a rate of 192 cm3/min.4.The height of a cylinder with a fixed radius of 6 cm is increasing at the rate of 3 cm/min. Find the rate of change of the volume of the cylinder (with respect to time) when the height is 20cm. (4 points)36π108π360πNone of these5.A 10-ft ladder rests against a vertical wall. If the bottom of the ladder slides away from the wall at a rate of 1 ft/sec, how fast, in ft/sec, is the top of the ladder sliding down the wall, at the instant when the bottom of the ladder is 6 ft from the wall? Answer with 2 decimal places. Type your answer in the space below. If your answer is a number less than 1, place a leading "0" before the decimal point (ex: 0.35). (4 points)

Assignment file and week four lectures attached. Please ask any questions and provide original work.Week 4 Problem SetLet’s look at some other factors that might influence pay. In the Student Assignment File Week 4 tab, complete the problems included, and submit your work in an Excel document. See Where Is Help Button in Microsoft Excel 2007, 2010, 2013 and 2016 (Links to an external site.)Links to an external site., Load the Analysis ToolPak (Links to an external site.)Links to an external site., and Use the Analysis ToolPak to Perform Complex Data Analysis (Links to an external site.)Links to an external site. for more information on how to use the required technologies for the course. Be sure to show all of your work and clearly label all calculations.All statistical calculations will use the data found in the Data tab in the Student assignment file.