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Math 1042 - Final Review

# Math 1042 - Final Review - Math 1042 Section 5.2 13...

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Math 1042 Review Problems for Final Exam Spring 2009 Section 5.2 13. Evaluate the integrals for shown in Figure 14 . FIGURE 14 The two parts of the graph are semicircles. (a) (b) (c) (d) 14. Evaluate g ( t ) dt and g ( t ) dt for g ( t ) shown at right. Section 5.4 20. Calculate the derivative sin( t 2 ) dt 27. Find G ( x ), where G ( x ) = tan t dt . 28. Find G (1), where G ( x ) = 30. Calculate the derivative

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Section 5.6 In Exercises 41–67, evaluate the indefinite integral. 41. 57. 63. 67. Section 6.1 16. Find the area of the shaded region in the figure. FIGURE 11 49. Express the area of the shaded region in Figure 16 as a sum of three integrals involving the functions f and g . FIGURE 16 Section 6.3 In Exercise 17, (a) sketch the region enclosed by the curves, (b) describe the cross section perpendicular to the x-axis located at x, and (c) find the volume of the solid obtained by rotating the region about the x-axis. 17. y = sec x , x = − , x =
In Exercise 20, find the volume of the solid obtained by rotating the region enclosed by the graphs about the y-axis over the given interval.

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Math 1042 - Final Review - Math 1042 Section 5.2 13...

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