MAT250 Final Exam Questions and Answers Latest 2023/2024

MAT250 Final Exam Questions and Answers Latest 2023/2024. What is the derivative of f(x) = 2 ? Select one: a. 2 b. 2 ln 2 c. 2 d. 2 The correct answer is: 2 ln 2 Select one: a. e + xe + 2x b. 2e + x c. xe + x d. xe + 2x The correct answer is: e + xe + 2x x x−1 x x x+1 x x x x x x x x 4/18/2018 Graded Exam 2 Question 4 Correct 5.00 points out of 5.00 Select one: a. b. c. d. The correct answer is: 4/18/2018 Graded Exam 2 Question 5 Correct 5.00 points out of 5.00 Question 6 Incorrect 0.00 points out of 5.00 Select one: a. b. c. d. The correct answer is: A point moves along the x-axis with its position, x, at time t given by x (t) = 2t − 15t + 36t + 5, t > 0. Find all values of t for which the point is moving to the right and its velocity is decreasing. Select one: a. 0 < t < 2 b. 0 < t < 2.5 c. 2 < t < 2.5 d. 3 < t The correct answer is: 0 < t < 2 3 2 4/18/2018 Graded Exam 2 Question 7 Incorrect 0.00 points out of 5.00 Question 8 Correct 5.00 points out of 5.00 A man 6 feet tall walks at a rate of 5 ft / sec away from a light that is 15 feet above the ground. When he is 10 feet from the base of the light, at what rate is the length of his shadow changing? Select one: a. b. c. d. The correct answer is: What is the slope of the line tangent to the curve x + y = 2x y at the point (1, 1)? Select one: a. 1 b. −1 c. 0 d. none of the above The correct answer is: −1 3 3 2 2 4/18/2018 Graded Exam 2 Question 9 Correct 5.00 points out of 5.00 Question 10 Correct 5.00 points out of 5.00 A rectangular field is to be fenced off on three sides with the fourth side being the bank of a river. If the cost of the fence is $8 per foot for the two ends and $12 per foot for the side parallel to the river, what are the dimensions of the largest rectangle that can be enclosed with $3840 worth of fence? Select one: a. 120 ft by 160 ft b. 240 ft by 160 ft c. 120 ft by 240 ft d. None of the above The correct answer is: 120 ft by 160 ft What is the derivative of f (x) = ln 2x? Select one: a. 1/2x b. (1/2)x c. 2 /x d. 1 /x The correct answer is: 1 /x 4/18/2018 Graded Exam 2 Question 11 Incorrect 0.00 points out of 5.00 Question 12 Incorrect 0.00 points out of 5.00 Use implicit differentiation to find an equation of the line tangent to the curve x + y = 10 at the point (3, 1). Select one: a. y = −x b. y = x c. y = −3x + 10 d. y = 3x − 8 The correct answer is: y = −3x + 10 Select one: a. sec (2x + 1) b. 2 sin (2x + 1) c. −2 sec (2x + 1) d. 2 sec (2x + 1) The correct answer is: 2 sec (2x + 1) 2 2 2 2 2 2 2 4/18/2018 Graded Exam 2 Question 13 Correct 5.00 points out of 5.00 Given xy = y , find dy /dx by implicit differentiation. Select one: a. b. c. d. 2y The correct answer is: 3 4/18/2018 Graded Exam 2 Question 14 Correct 5.00 points out of 5.00 Compute the derivative of the function