Download 11 MCQs on Plane Trigonometry - Examination 3 | MATH 128 and more Exams Trigonometry in PDF only on Docsity! Math.128 Fall 2000 Test 2 I PRINT NAME ___________________ INSTRUCTOR __________________ Version 1 Circle your answer on the sheet and also mark your answer on the answer sheet. If you change your answer change in both places. dne denotes does not exist 1) The distance (in feet) covered by a car in t seconds after starting from rest is given by S(t) = 50t + 7t2 - t3 (0 ≤ t ≤ 10). Find acceleration (in ft/s2) of the car 3 seconds after start. A) 85 B) 0 C) 186 D) 4 E) 0 AE) 4.39 BE) dne CE) -4 DE) none of the above 2) Use differentials to approximate (82.5)1/2. A) 9.0829511 B) 9 C) 9.1547 D) 9.5 E) 9.0833... AE) 4x BE) dne CE) 9.0003 DE) none of the above 3) Find relative min/max (if any) of f(x) = 3x5 - 20x3 + 20. (x coordinate only) A) impossible to find B) ±2 rel. max C) ±2 rel. max, 0 rel min D) ±21/2 rel. max, 0 rel min E) -2 rel max, 2 rel. min. AE) no rel. max/min BE) 0 rel. max. CE) 0 rel. min. DE) none of the above 4) Find inflection points of h(x) = 2x3 - 3x2 + 18x - 8. (x coordinate only) A) 1/2 B) 0 C) 8 D) 5 E) no infl. pts. AE) impossible to find BE) ±2 CE) 0, 2 DE) none of the above 5) Which of the following functions has the following properties: domain: x ≠ 0, asymptotes: y-axis, x-axis, intervals where f increasing: (0, 2), intervals where f concave upward: (3, ∞), i) f(x) = (4x - 4)/x2 ii) f(x) = x3 - 3x2 + 1 iii) f(x) = (x4 - 4x3)/9 iv) f(x) = x - 3x1/3 A) all B) none C) i and ii D) i E) iii AE) iv BE) iv and ii CE) ii and iii DE) only ii 6) Find absolute max. value of f(x) = -x2 - 4x + 6 on [0, 5]. A) -2 B) 0 C) 10 D) 6 E) -39 AE) -4 BE) no abs. max CE) -14 DE) none of the above Math.128 Fall 2000 Test 2 I 7) Solve for w 5e-2w = 6 A) -ln6 B) 0 C) -ln(6/5) D) lne E) 2 AE) -0.5ln(6/5) BE) -0.5ln6/(ln5) CE) impossible to find DE) none of the above 8) Find the derivative of f(x) = (e2x + 2)/ex at x = 0. A) 0 B) -1 C) 4e D) 5e + 2 E) 2/e AE) 2 BE) dne CE) -4 DE) none of the above 9) Find the rate of change of r(t) = 5lnt at t = 3. A) 1/2 B) 0 C) 5.49 D) 5 E) 9 AE) 2.39 BE) dne CE) 5/3 DE) none of the above 10) Use implicit differentiation to evaluate dy/dt for 3y3 - e2x = 2, at (0, 1) when x decreases at rate of 5 units per minute. A) -10/9 B) 0 C) 1 D) 5 E) 10/9 AE) 4 BE) 2/3 CE) impossible to find DE) none of the above 11) Evaluate the following antiderivative: 2dx∫ . A) 2 B) 2dx + C C) 0 D) x2 + C E) C AE) 2x BE) dne CE) 2x+ C DE) none of the above
