301 Test 3: Chapters 5 Special Functions and 6 Implicit Differentiation Take: 1 | 08/07/16 Directions: Thinkwell Test 3 directions BEFORE TAKING THE TEST: 1] From Thinkwell COURSE HOME tab, complete all of the preparation for chapters 5 Special Functions and 6 Implicit Differentiation 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 9. 2] Go to the Sakai Classroom, and click on the left tab ASSIGNMENTS and find 'Assignment 3'. 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 92.77%. TO TAKE THE TEST: 3] From Thinkwell, click on ASSESSMENTS tab, and then click on 301 Test 3. 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 301 Test 3, then submit it there. AFTER TAKING THE TEST: 5] Return to our regular classroom in Sakai, click on left tab ASSIGNMENTS and find 'Test 3 Critique'. Follow the directions there and submit this BEFORE Wednesday 23:55 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) Use implicit differentiation to find an equation of the line tangent to the curve x2 + y2 = 10 at the point (3, 1). 3) y = x y=x y = 3x + 10 y = 3x 8 4) Suppose a curve is defined by the equation (x + y)2 = 4. What is the equation of the line tangent to the curve at (3, 1)? y = x + 2 y = 4x + 7 y = 4x 13 y=x4 5) 6) Find the derivative. f(x) = 3sin x None of the above 7) Evaluate 3log3 2.714 3 2.995 2.714 1.610 8) .0685 9) cot x sin x sec x csc x 10) 11) 12) What is the derivative of y = x ln x x? ln x + 1 x ln x ln x 1 ln x 13) The limit does not exist. 14) 15) Which of the following is the graph of y = 2sin (x)? 16) Given f(x) = 3x, evaluate f(4). 81 64 27 12 17) Find the derivative. f(x) = cot2 x f(x) = 2cot x csc2 x f(x) = 2cos x csc3 x f(x) = 2cot x sec2 x f(x) = 2cos x sec3 x None of the above 18) Simplify. 19) 0 20) N=e N = 0 or N = 1 or N = e N = ke, where k is a positive integer N = e or N = e2 21) 0.8270875 0.845098 0.90309 1.209062 22) A car and a truck leave the same intersection, the truck heading north at 60 mph and the car heading west at 55 mph. At what rate is the distance between the car and the truck changing when the car and the truck are 30 miles and 40 miles from the intersection, respectively? 23) 100 mph 50 mph 81 mph 57.5 mph 24) { (1, 5), (1, 3) } 25) x<1 x>0 x<0 x < 0.35