201 Test 2: Chapter 3 Derivatives and Chapter 4 Computations Take: 1 | 07/24/16 Directions: Thinkwell Test 2 directions BEFORE TAKING THE TEST: 1] From Thinkwell COURSE HOME tab, complete all of the preparation for chapters 3 Derivatives and 4 Computations 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 7. 2] Go to the Sakai Classroom, and click on the left tab ASSIGNMENTS and find 'Assignment 2'. 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 201 Test 2. 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 201 Test 2, then submit it there. AFTER TAKING THE TEST: 5] Return to our regular classroom in Sakai, click on left tab ASSIGNMENTS and find 'Test 2 Critique'. Follow the directions there and submit this BEFORE Wednesday 22:55 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) Compute the derivative of the function 2) What is the slope of the secant line of the function y = 4x2 2x + 1 between x = 3 and x = 6? 34 34 3) m=5 m=7 m = 13 m = 11 4) 5) What is the derivative of the function f(x) = 2x? x2 2x2 0 2 6) The position of a car at time t is given by the function p(t) = t2 + 2t 4. What is the velocity at t = 2? Assume t 0. 7) 3 6 6 3 8) Apply the definition of the derivative to differentiate the function f(x) = 6. 0 1 x6 6x 9) 10) 11) Find the derivative. f(x) = 2x1.45 f(x) = .9x0.45 f(x) = 1.45x0.45 f(x) = 2x0.45 f(x) = 2.9x0.45 12) There is not enough information. 13) 14) 15) 0.4 4.0 20.0 23.6 16) Suppose f(x) = x6 x4. Find the equation of the line tangent to f(x) at (1, 0). 17) 18) 19) y=x1 y=x2 y = 2x 1 y = 2x 2 20) What is the equation of the line tangent to the curve y = x2 2x + 1 at (3, 4)? y 4 = 4(x 3) y 3 = 4(x 4) y 4 = 6(x 3) y=0 21) 22) None of the above 23) A student goes crabbing after math class. He drops the crab cage, and waits. Let f(t) denote the distance a crab is from the cage at any time t. Assume f(t) = 2t2 7t + 15, where t is measured in hours, and f(t) is in feet. How long does the student need to wait before the crab is in the cage? 5 hours 1.5 hours 15 hours 5 hours None of the above 24) 25) Yes, the function is differentiable on this interval. No, the function is not differentiable on this interval