MAT 250 Graded Exam 3 Calculus; Questions and Answers 2023/2024 - Straighterline

MAT 250 Graded Exam 3 Calculus; Questions and Answers 2023/2024 - Straighterline. What is the area of the region bounded by the curves and between and ? Select one: a. b. c. d. The correct answer is: y = 2x − 7 2 y = 2/x x = 1 x = 3 2 ln 2 + 7 3 −2 ln 3 + 2 ln 2 −37 3 2 ln 3 + 44 3 4 ln 2 − 2 ln 3 + 8 4 ln 2 − 2 ln 3 + 8 6/3/2020 Graded Exam 3 Question 2 Correct 5.00 points out of 5.00 Question 3 Correct 5.00 points out of 5.00 I want to make a Twinkie splat when I throw it off a building. Because Twinkies are notoriously hard to crush, I want it to hit the ground moving at 128 ft /s. I am going to throw it straight down, with a speed of 8 ft /s off the roof of the building. How high does the building need to be? Select one: a. 16 ft b. 120 ft c. 128 ft d. 255 ft The correct answer is: 255 ft Evaluate . Select one: a. −1 b. 0 c. 1 d. ∞ The correct answer is: 0 lim x→∞ ln(ln x) ln x 6/3/2020 Graded Exam 3 Question 4 Correct 5.00 points out of 5.00 Question 5 Correct 5.00 points out of 5.00 What is the area beneath the curve from to ? Select one: a. 0 b. c. d. The correct answer is: Use the substitution to evaluate the integral . Select one: a. b. c. sin2 ( x4 + 3x 2 + 5 ) 2 + C d. ( sin(x^4+3x^2+5)+C ) The correct answer is: ( sin(x^4+3x^2+5)+C ) y = cos x sin x 2 x = 0 x = π 2 π 3 − co x + C 1 3 s 3 1 3 1 3 u = ( x + 3 + 5) 4 x 2 ∫ (4x + 6x) cos ( + 3 + 5) dx 3 x 4 x 2 + C cos ( +3 +5) 2 x 4 x 2 2 −sin(x + 3 + 5) + C 4 x 2 6/3/2020 Graded Exam 3 Question 6 Correct 5.00 points out of 5.00 Question 7 Correct 5.00 points out of 5.00 Question 8 Correct 5.00 points out of 5.00 Evaluate the indenite integral ( int(frac{x^2+2x+1}{x+1})dx ). Select one: a. ( frac{x^2}{2}+x ) b. ( frac{1}{2}(frac{x^2+2x+1}{x+1})^2 ) c. ( frac{x^2}{2}+x+C ) d. None of the above The correct answer is: ( frac{x^2}{2}+x+C ) Evaluate ( displaystyle {lim_{x → infty}} ,frac{ln(x^{100})}{x} ). Select one: a. −2 b. 0 c. 1 d. 2 The correct answer is: 0 Evaluate ( displaystyle {lim_{xrightarrow0}},,frac{tan, x - x}{sin,x-x} ) Select one: a. −2 b. 0 c. 1 d. 2 The correct answer is: −2 6/3/2020 Graded Exam 3 Question 9 Correct 5.00 points out of 5.00 Question 10 Correct 5.00 points out of 5.00 Evaluate the indenite integral ( int , (3t^2sqrt{t^3+t^2+1},+,2tsqrt{t^3+t^2+1}),dt ). Select one: a. ( -frac{2}{3}(t^3+t^2+1)^{3/2}+C ) b. ( frac{2}{3}(t^3+t^2+1)^{3/2}+C ) c. ( frac{2}{3}t^{9/2}+frac{2}{3}t^{6/2}+1+C ) d. None of the above The correct answer is: ( frac{2}{3}(t^3+t^2+1)^{3/2}+C ) Evaluate ( displaystyle{lim_{xrightarrow0}},frac{sqrt{x+1}}{ln,(x+1)} ). Select one: a. The limit does not exist.