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IIT MATH 149 - MATH 149 HOMEWORK

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Current Score: 0/124Due: Mon Mar 28 2011 11:59 PM CDTQuestion Points 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 0/10 0/4 0/4 0/4 0/4 0/4 0/4 0/8 0/10 0/4 0/4 0/4 0/5 0/4 0/4 0/4 0/4 0/4 0/4 0/4 0/4 0/4 0/4 0/4 0/4 0/7 Total 0/124 1. 0/10 points SCalc6 5.3.002. [726424] HW 10 (1734871)Description 5.3, The Fundamental Theorem of Calculus; 5.4, Indefinite integrals and the Net Change Theorem. (a) Evaluate g(x) for x = 0, 5, 10, 15, 20, 25, and 30. g(0) = 0g(5) = 12.5g(10) = 0g(15) = -12.5g(20) = 0g(25) = 37.5g(30) = 100 (b) Estimate g(35). (Use midpoint to get the most precise estimate.) g(35) = 155 (c) Where does g have a maximum and a minimum value? minimum at x= 15maximum at x= 35Let g(x) = , where f is the function whose graph is shown.f(t)dtx 0 Page 1 of 12Assignment Previewer3/16/2011http://www.webassign.net/v4cgi/assignments/preview.tpl?aid=1734871&deployment=2977311&UserPass=c3e8828ec0142f9ece8528d9c6462...2. 0/4 points SCalc6 5.3.005. [1282268] 3. 0/4 points SCalc6 5.3.007.MI.SA. [1569162] (d) Sketch a rough graph of g. (Do this on paper. Your instructor may ask you to turn in this work.) Solution or ExplanationClick to View Solution Consider the following function. Sketch the area represented by g(x). (Do this on paper. Your instructor may ask you to turn in this work.) Find g'(x) in two ways: (a) By using Part 1 of the Fundamental Theorem. (b) By evaluating the integral using Part 2 and then differentiating. Solution or ExplanationClick to View Solution 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 Page 2 of 12Assignment Previewer3/16/2011http://www.webassign.net/v4cgi/assignments/preview.tpl?aid=1734871&deployment=2977311&UserPass=c3e8828ec0142f9ece8528d9c6462...4. 0/4 points SCalc6 5.3.009. [1283050] 5. 0/4 points SCalc6 5.3.012.MI.SA. [1568858] 6. 0/4 points SCalc6 5.3.017. [1283899] Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. Solution or ExplanationClick to View Solution 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 Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. Page 3 of 12Assignment Previewer3/16/2011http://www.webassign.net/v4cgi/assignments/preview.tpl?aid=1734871&deployment=2977311&UserPass=c3e8828ec0142f9ece8528d9c6462...7. 0/4 points SCalc6 5.3.019. [888376] 8. 0/8 points SCalc6 5.3.023.MI.SA. [1569225] Solution or ExplanationClick to View Solution Evaluate the integral. 9/4 Solution or ExplanationClick to View Solution 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 Evaluate the integral. Page 4 of 12Assignment Previewer3/16/2011http://www.webassign.net/v4cgi/assignments/preview.tpl?aid=1734871&deployment=2977311&UserPass=c3e8828ec0142f9ece8528d9c6462...9. 0/10 points SCalc6 5.3.029.MI.SA. [1569039] 10. 0/4 points SCalc6 5.3.031. [1636109] 11. 0/4 points SCalc6 5.3.052. [888395] 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 Evaluate the integral. Evaluate the integral. 5 Solution or ExplanationClick to View Solution Find the interval on which the curve y(x) is concave upward. (Enter INFINITY for and -INFINITY for - .) ( -INFINITY , -1/4 ) Solution or ExplanationClick to View SolutionPage 5 of 12Assignment Previewer3/16/2011http://www.webassign.net/v4cgi/assignments/preview.tpl?aid=1734871&deployment=2977311&UserPass=c3e8828ec0142f9ece8528d9c6462...12. 0/4 points SCalc6 5.3.057. [726394] 13. 0/5 points SCalc6 5.3.071.MI.SA. [1568873] 14. 0/4 points SCalc6 5.3.072.MI. [1386385] Evaluate the limit by first recognizing the sum as a Riemann sum for a function defined on [0, 1]. 3/28 Solution or ExplanationClick to View Solution 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 Evaluate the integral. Evaluate the integral. Page 6 of 12Assignment Previewer3/16/2011http://www.webassign.net/v4cgi/assignments/preview.tpl?aid=1734871&deployment=2977311&UserPass=c3e8828ec0142f9ece8528d9c6462...15. 0/4 points SCalc6 5.4.008. [1636131] 16. 0/4 points SCalc6 5.4.009. [1283172] 17. 0/4 points SCalc6 5.4.011. [1282560] Solution or ExplanationClick to View Solution Find the general indefinite integral. + C Solution or ExplanationClick to View Solution Find the general indefinite integral. + C Solution or ExplanationClick to View Solution Find the general indefinite integral. Page 7 of 12Assignment Previewer3/16/2011http://www.webassign.net/v4cgi/assignments/preview.tpl?aid=1734871&deployment=2977311&UserPass=c3e8828ec0142f9ece8528d9c6462...18. 0/4 points SCalc6 5.4.013. [1283556] 19. 0/4 points SCalc6 5.4.016. [1281872] + C Solution or ExplanationClick to View Solution Find the general indefinite integral. + C Solution or ExplanationClick to View Solution Find the general indefinite integral. + C Solution or ExplanationClick to View Solution Page 8 of 12Assignment Previewer3/16/2011http://www.webassign.net/v4cgi/assignments/preview.tpl?aid=1734871&deployment=2977311&UserPass=c3e8828ec0142f9ece8528d9c6462...20. 0/4 points SCalc6 5.4.022. [726310] 21. 0/4 points SCalc6 5.4.025. [726471] 22. 0/4 points SCalc6 5.4.033. [726322] 23. 0/4 points SCalc6 5.4.037. [726432] Evaluate the integral. 24 Solution or ExplanationClick to View Solution Evaluate the integral. 628/15 Solution or


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IIT MATH 149 - MATH 149 HOMEWORK

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