8/22/2016 Assignment Previewer HWI (9357898) Due: Wed Aug 24 2016 08:00 AM EDT Question 1. 12345678910111213141516171819202122232425262728293031323334353637 Question Details RogaCalc3 5.3.001­008a.XP.Tutorial. [3380475] ­ Find the general antiderivative of f and check your answer by differentiating. (Use C for the constant of the antiderivative. Remember to use absolute values where appropriate.) f(x) = x )2 (5 + x F(x) = 2. Question Details RogaCalc3 5.3.001­008b.XP.Tutorial. [3380408] ­ Find the general antiderivative for the function below; assume we have chosen an interval I on which the function is continuous. The function may require an algebraic manipulation first. (Use C for the constant of integration.) f(x) = 5 6x2/3 F(x) = 3. Question Details RogaCalc3 5.3.001­008c.XP.Tutorial. [3380382] ­ Find the general antiderivative for the function below; assume we have chosen an interval I on which the function is continuous. The function may require an algebraic manipulation first. (Use C for the constant of integration.) f(x) = 5 sec2(πx) F(x) = 4. Question Details RogaCalc3 5.3.001­008d.XP.Tutorial. [3380323] ­ Find the general antiderivative for the function below; assume we have chosen an interval I on which the function is continuous. The function may require an algebraic manipulation first. (Use C for the constant of integration.) f(x) = 81 sin(x) + 9 cos(9x) F(x) = 5. Question Details RogaCalc3 5.3.001­008f.XP.Tutorial. [3380308] ­ Find the general antiderivative for the function below; assume we have chosen an interval I on which the function is continuous. The function may require an algebraic manipulation first. (Use C for the constant of integration.) f(x) = 81 − x 9 − x F(x) = https://www.webassign.net/v4cgi/assignments/preview.tpl?aid=9357898&deployment=14343635&UserPass=979db533fa885ab2779489b8f5821412 1/8 8/22/2016 6. Assignment Previewer Question Details RogaCalc3 5.3.001­008f.XP.Tutorial.SA. [3395658] ­ This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. Tutorial Exercise Find the general antiderivative for the function below; assume we have chosen an interval I on which the function is continuous. The function may require an algebraic manipulation first. f(x) = 7. 324 − x 18 − x Question Details RogaCalc3 5.3.001. [3385298] ­ Find the general antiderivative of f(x) and check your answer by differentiating. (Use C for the constant of integration.) f(x) = 6x2 8. Question Details RogaCalc3 5.3.003. [3385352] ­ Find the general antiderivative of f(x) and check your answer by differentiating. (Use C for the constant of integration. Remember to use absolute values where appropriate.) f(x) = 2x4 − 6x2 + 13x−1 9. Question Details RogaCalc3 5.3.010­039a.XP.Tutorial. [3380362] ­ RogaCalc3 5.3.012. [3385443] ­ Evaluate the indefinite integral. (Use C for the constant of integration.) x 6 + x 2 dx F(x) = 10. Question Details Evaluate the indefinite integral. (Use C for the constant of integration.) 11x−3 dx https://www.webassign.net/v4cgi/assignments/preview.tpl?aid=9357898&deployment=14343635&UserPass=979db533fa885ab2779489b8f5821412 2/8 8/22/2016 11. Assignment Previewer Question Details RogaCalc3 5.3.016. [3385082] ­ RogaCalc3 5.3.025. [3385158] ­ Evaluate the indefinite integral. (Use C for the constant of integration.) 16x9/7 dx 12. Question Details Evaluate the indefinite integral. (Use C for the constant of integration. Remember to use absolute values where appropriate.) x3 + 8x − 2 x2 dx 13. Question Details RogaCalc3 5.3.028. [3385409] ­ RogaCalc3 5.3.039. [3385145] ­ RogaCalc3 5.3.047.Tutorial. [3385471] ­ Evaluate the indefinite integral. (Use C for the constant of integration.) (7θ + 3 sec2(θ)) dθ 14. Question Details Evaluate the indefinite integral. (Use C for the constant of integration.) cos(8θ) − 1 sec2 θ 2 4 dθ 15. Question Details Solve the initial value problem. dy = 3x3, y(0) = 5 dx y = https://www.webassign.net/v4cgi/assignments/preview.tpl?aid=9357898&deployment=14343635&UserPass=979db533fa885ab2779489b8f5821412 3/8 8/22/2016 16. Assignment Previewer Question Details RogaCalc3 5.3.053. [3385422] ­ RogaCalc3 5.3.057. [3385131] ­ RogaCalc3 5.3.071. [3385439] ­ Solve the initial value problem. dy = (3x + 2)5, y(0) = 1 dx y = 17. Question Details Solve the initial value problem. dy = cos(3x), y(π) = 4 dx y = 18. Question Details A particle located at the origin at t = 1 s moves along the x­axis with velocity v(t) = 5t2 + 4t m/s. State the differential equation with initial condition satisfied by s(t) and find s(t). ds = dt , s(1) = 0 s(t) = 19. Question Details RogaCalc3 5.3.073. [3385369] ­ A water balloon is dropped from a high building. It falls for 14 s before hitting the ground. Determine the velocity it is traveling when it is about to hit the ground, assuming an acceleration due to gravity of −9.8 m/s2 and no wind resistance. m/s 20. Question Details RogaCalc3 5.3.077. [3385365] ­ A car traveling 22 m/s begins to decelerate at a constant rate of 5 m/s2. After how many seconds does the car come to a stop? s How far will the car have traveled before stopping? m 21. Question Details RogaCalc3 5.1.004. [3385172] ­ The velocity of an object is v(t) = 15t m/s. Find the distance traveled over the time intervals [0, 2] and [2, 6]. Distance over [0, 2] m Distance over [2, 6] m https://www.webassign.net/v4cgi/assignments/preview.tpl?aid=9357898&deployment=14343635&UserPass=979db533fa885ab2779489b8f5821412 4/8 8/22/2016 22. Assignment Previewer Question Details RogaCalc3 5.1.005. [3385203] ­ RogaCalc3 5.1.008. [3385374] ­ RogaCalc3 5.1.012. [3385437] ­ RogaCalc3 5.1.014. [3385468] ­ Compute R5 and L5 over [0, 1] using the following values. L5 = R5 = 23. x 0 0.2 0.4 0.6 0.8 1 f(x) 48 47 46 43 42 40 Question Details Calculate R8 for f(x) = 7 − x over [3, 5]. R8 = 24. Question Details Consider the following figure. Calculate the area of the shaded rectangles. (Round your answer to three decimal places.) Which approximation do these rectangles represent? L6 L5 M6 M5 R6 25. Question Details Estimate L4 and R4 over [0, 4] for the function f(x) = 8 x . (Round your answers to three decimal places.) L4 ≈ R4 ≈ 26. Question Details RogaCalc3 5.1.015. [3385384] ­ Calculate the R3 approximation for f(x) = 10 − x on [5, 7]. R3 = https://www.webassign.net/v4cgi/assignments/preview.tpl?aid=9357898&deployment=14343635&UserPass=979db533fa885ab2779489b8f5821412 5/8 8/22/2016 27. Assignment Previewer Question Details RogaCalc3 5.1.018. [3385241] ­ RogaCalc3 5.1.029. [3385118] ­ RogaCalc3 5.1.032. [3385324] ­ RogaCalc3 5.1.034. [3385353] ­ RogaCalc3 5.1.035. [3385482] ­ RogaCalc3 5.1.037. [3385177] ­ Calculate the R5 approximation for f(x) = 10x2 + 12x on [−1, 1]. 28. Question Details Calculate the following sums. 7 4 = 4 = i = 1 7 i = 0 5 k3 = k = 3 29. Question Details 10 Calculate the sum k = 1 10 10 (16ak − bk ) assuming that 10 ak = 270 and k = 1 bk = 235. k = 1 (16ak − bk ) = k = 1 30. Question Details 30 (9j + 1)2 by expanding and using one of the Power Sums formulas. Calculate j = 1 31. Question Details Evaluate the sum. 20 8(4j)3 j = 1 32. Question Details Evaluate the sum. 150 (28n)2 n = 51 https://www.webassign.net/v4cgi/assignments/preview.tpl?aid=9357898&deployment=14343635&UserPass=979db533fa885ab2779489b8f5821412 6/8 8/22/2016 33. Assignment Previewer Question Details RogaCalc3 5.1.039. [3385488] ­ RogaCalc3 5.1.043. [3385424] ­ RogaCalc3 5.1.055. [3385099] ­ RogaCalc3 5.1.058. [3385472] ­ RogaCalc3 5.1.061. [3385063] ­ Evaluate the sum. 56 j(j − 1) j = 0 34. Question Details Evaluate the limit. N lim N → ∞ 35. i = 1 i N2 Question Details Find a formula for RN for the function f(x) = x2 on [0, 1] in terms of N. RN = Compute the area under the graph as a limit. lim RN = N → ∞ 36. Question Details Find a formula for RN for the function f(x) = 7x2 + 49x on [6, 11] in terms of N. RN = Compute the area under the graph as a limit. lim RN = N → ∞ 37. Question Details Find a formula for RN for the function f(x) = 4x + 7 on [3, 6] in terms of N. RN = Compute the area under the graph as a limit. lim RN = N → ∞ Assignment Details Name (AID): HWI (9357898) Feedback Settings Submissions Allowed: 5 Before due date Category: Homework Question Score Code: Assignment Score Locked: Yes Publish Essay Scores Author: Phan, Tuoc ( tphan2@tennessee.edu ) Question Part Score Last Saved: Aug 16, 2016 12:23 PM EDT Mark Permission: Protected Add Practice Button Randomization: Person Help/Hints https://www.webassign.net/v4cgi/assignments/preview.tpl?aid=9357898&deployment=14343635&UserPass=979db533fa885ab2779489b8f5821412 7/8 8/22/2016 Which graded: Last Assignment Previewer Response Save Work After due date Question Score Assignment Score Publish Essay Scores Key Question Part Score Solution Mark Add Practice Button Help/Hints Response https://www.webassign.net/v4cgi/assignments/preview.tpl?aid=9357898&deployment=14343635&UserPass=979db533fa885ab2779489b8f5821412 8/8