1.Use your graphing calculator to evaluate . (2 points)e50π12.Use your calculator to select the best answer below: (2 points)1−10does not exist3. (2 points)2a4.Find . (2 points)does not exist305.If and , then find . (2 points)40-416286.Evaluate . (2 points)0does not exist1-17.Evaluate . (2 points)8.Evaluate . (2 points)1does not exist9.If f is a continuous function with odd symmetry and , which of the following statements must be true? (2 points)I.II.There are no vertical asymptotes.III.The lines y = 5 and y = -5 are horizontal asymptotes.I onlyII onlyIII onlyAll statements are true.10.What are the horizontal asymptotes of the function ? (2 points)y = -2 and y = 2y = 2 onlyy = -2 onlyy = 011.Which one or ones of the following statements is/are true? (2 points)I.If the line y = 2 is a horizontal asymptote of y = f(x), then f is not defined at y = 2.II.If f(5) > 0 and f(6) < 0, then there exists a number c between 5 and 6 such that f(c) = 0.III.If f is continuous at 2 and f(2)=8 and f(4)=3, then .All statements are true.I onlyII onlyIII only12.Find (2 points)0-∞∞13.Evaluate . (2 points)0does not exist14.Which of the following are the equations of all horizontal and vertical asymptotes for the graph of ? (2 points)y = 0, x = -4, x = 4y = 1, x = -4, x = 4y = 0, x = -4, x = 0, x = 4y = 1, x = -4, x = 0, x = 415.Evaluate . (2 points)3-51does not exist16.Where is discontinuous? (2 points)x = -2x = 4x = -2 and x = 4f(x) is continuous everywhere17.Which of the following are continuous for all real values of x?(2 points)I.II.III.I onlyII onlyI and II onlyI and III only18.Which of the following must be true for the graph of the function ?(2 points)There is:I.a vertical asymptote at x = 3II.a removable discontinuity at x = 3III.an infinite discontinuity at x = 3I onlyII onlyIII onlyI, II, and III19.What is the average rate of change of y with respect to x over the interval [1, 5] for the function y = 4x + 2? (2 points)82420.What is the instantaneous slope of y = at x = 3? (2 points)21.The height, s, of a ball thrown straight down with initial speed 64 ft/sec from a cliff 80 feet high is s(t) = -16t2 - 64t + 80, where t is the time elapsed that the ball is in the air. What is the instantaneous velocity of the ball when it hits the ground? (2 points)256 ft/sec-96 ft/sec0 ft/sec112 ft/sec22.The surface area of a right circular cylinder of height 5 feet and radius r feet is given by S(r)=2πrh+2πr2. Find the instantaneous rate of change of the surface area with respect to the radius, r, when r = 6. (2 points)24π34π64π20π

In this activity you will learn to use StatCrunch to perform a two-sample t-test.Some features of this activity may not work well on a cell phone or tablet. We highly recommend that you complete this activity on a computer.Here are the directions and grading rubric for the Learn by Doing discussion board exercises. A list of StatCrunch directions is provided at the bottom of this page.ContextDo undergraduates sleep less than graduate students?A student conducted a study of sleep habits at a large state university. His hypothesis is that undergraduates will party more and sleep less than graduate students. He surveyed random samples of 75 undergraduate students and 50 graduate students. Subjects reported the hours they sleep in a typical night.For this hypothesis test, he defined the population means as follows:μ 1 is the mean number of hours undergraduate students sleep in a typical night.μ 2 is the mean number of hours graduate students sleep in a typical night.VariablesHours: typical number of hours a student sleeps each nightProgram: undergraduate or graduate Program is the explanatory variable, and the data is categorical. Hours is the response variable, and the data is quantitative.DataDownload the sleep2 (Links to an external site.) datafile, and upload the file in StatCrunch. PromptState the null and alternative hypotheses. Include a clear description of the populations and the variable.Explain why we can safely use the two-sample T-test in this case.Use StatCrunch to carry out the test. (directions)Copy and paste the content of in the StatCrunch output window (text and the table) in your initial post. State a conclusion in the context of this problem.I will attach statcrunch information once bid is selected