101 Test 1: Chapters 1 Basics and 2 Limits Take: 1 | 06/26/16 Directions: Thinkwell Test 1 directions BEFORE TAKING THE TEST: 1] From Thinkwell COURSE HOME tab, complete all of the preparation for chapters 1 Basics and 2 Limits following the syllabus or one-page course outline as soon as you can. Be sure to give yourself ample time so that you can take and submit the test in Thinkwell BEFORE the end of week 3. 2] Go to the Sakai Classroom, and click on the left tab ASSIGNMENTS and find 'Assignment 1'. Read the directions there. You may just submit this assignment and I will do the calculations. OR If you would like to calculate your grade, go to each Review section in Thinkwell while keeping a tally. Submit your answer as a 4 digit percent, for example 92.37%. TO TAKE THE TEST: 3] From Thinkwell, click on ASSESSMENTS tab, and then click on 101 Test 1. Get a printout of the test to take with paper and pencil. Keep a log of all of your calculations as you may be required to submit a copy of your work for this test to count. I suggest double checking all answers on your calculator or via an alternate method before submitting. 4] Return to Thinkwell and record your answers on 101 Test 1, then submit it there. AFTER TAKING THE TEST: 5] Return to our regular classroom in Sakai, click on left tab ASSIGNMENTS and find 'Test 1 Critique'. Follow the directions there and submit this BEFORE Wednesday 11:55 pm ET. The solution to your test in Thinkwell will be available on Monday following the test deadline so that you can better understand the errors that you made on the test. Description: 25 questions. 1) [, 2] (, 2) (, ) (2, ) (, ] [2, ) 2) Find the slope of the line passing through the points (2, 3) and (4, 5). 1/3 4/3 3/4 4/3 3) 2 2 4) Let f(x) = 2x2 + 4. What is the average rate of change of f over the interval (1, 1.1)? 4.2 .42 4.2 42 5) 1 ft/s2 1 ft/s2 2 ft/s2 None of the above 6) A function is defined as f(x) = 2x + $6. Evaluate f($2.20). f($2.20) = $10.80 f($2.20) = $4.40 f($2.20) = $4.80 f($2.20) = $1.60 7) An error has been made in evaluating this limit. Which numbered line of the evaluation of this expression represents the introduction of an error regarding the use of the limit laws? (Assume that the limit exists and that h(x) is never equal to zero) Line (1) Line (2) Line (3) Line (4) Line (5) 8) The limit does not exist. 4 1 4 9) Maria's height from birth to 12 years is modeled by the function h(t) = 0.26t2 + 22, where t is her age in years, and h(t) is her height in inches. What is Maria's height when she is 10 years old? 50 in. 46 in. 54 in. 60 in. None of the above 10) .04 .01 .0025 .0001 11) An experiment is being conducted on the effectiveness of a new weight loss drug. On February 15th, the drug is administered to a test patient who weighs 235 pounds. On February 25th, the same test patient weighs 233 pounds. What is his average rate of weight loss, in pounds/day? 2 pounds/day 10 pounds/day 0.2 pounds/day 5 pounds/day 12) What is the slope of the line described by the equation 5x 3y + 10 = 0? 3 13) 2 0 2 The limit is undefined. None of the above 14) 4 The limit does not exist. 1 There is not enough information. 15) Upwards Downwards There is not enough information. 16) 5 17) A car starts at mile marker 21, and passes mile marker 33 after 20 minutes. It passes mile marker 38 after 23 minutes, and mile marker 42 after 27 minutes. What is the best estimate of the cars speed in miles per hour when it passes mile marker 40? 36 mi/h 60 mi/h 100 mi/h 77 mi/h None of the above 18) What is the limit of the function in the graph at x = 4? 2 The limit does not exist. 4 6 19) The limit does not exist. 20) Expressions of the form are known as: Undetermined Indeterminate forms Unspecified 0 21) 0.000833 0.0025 0.005 0.01 22) Dr. Burger rides his bike to work in the mornings. Usually, he leaves his house at 8:20 and gets to the office at 9:00 riding at a rate of 15 miles an hour. On this particular morning he has overslept and leaves at 8:45. 2/3 miles per hour. 10 miles per hour. 10.67 miles per hour. 40 miles per hour. How fast does he need to ride to avoid being late? 23) Classify all of the discontinuities of the function. x = 2; infinite discontinuity x = 1; infinite discontinuity x = 1; removable (point) discontinuity x = 4; removable (point) discontinuity x = 3; infinite discontinuity x = 0; infinite discontinuity x = 1; removable (point) discontinuity x = 4; removable (point) discontinuity x = 2; infinite discontinuity x = 1; infinite discontinuity x = 1; infinite discontinuity x = 4; removable (point) discontinuity x = 3; infinite discontinuity x = 0; infinite discontinuity x = 1; infinite discontinuity x = 4; removable (point) discontinuity 24) None of the above 25) Yes, the limit exists. No, the limit doesn't exist. There is not enough information