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# Review Sheet for MATH 116 with Professor Mermin at KU

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This 2 page Class Notes was uploaded by an elite notetaker on Friday February 6, 2015. The Class Notes belongs to a course at Kansas taught by a professor in Fall. Since its upload, it has received 22 views.

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Date Created: 02/06/15
Math 116 Je Mermin7s sections Final Exam Review You will be given the following tables 0 The values of the functions sin cos tan on certain important angles 0 The derivatives of the trigonometric funtions o The integrals of the trigonometric functions 1 TrueFalse questions There will be ten truefalse questions taken verbatim from the quizzes All quizzes are fair game including those given before Test 1 2 Evaluate the following 11 a 2x373x2 de 10 b e dz c x251dx d x1 dz Book problems on this material 0 Chapter 61 pp 4077408 9750 0 Chapter 62 pp 4197420 1750 0 Chapter 64 p 439 17740 0 Chapter 65 p 449 1728 0 Chapter 6 review p 490 1732 0 Chapter 71 p499 1732 0 Chapter 7 review p 534 176 3 Compute the following or state that they diverge No justi cation is necessary for correct answers on this problem However incorrect answers may receive partial credit if they are well justi ed a 05 b lim Hy naoo n C hm ln2n33 naoo n cl lim 3 naoo n we 5 e L1 7ng f 7 271173 7 271171 Book problems on this material Chapter 74 p 532 15742 Chapter 7 review p 534 15730 Chapter 112 p 717 30744 Chapter 113 p 727 5726 0 Chapter 11 review p 767 1118 11 ye 4 Evaluate dydx y 520 1 5 Express each of the following in terms of one or more de nite integrals or double integrals with explicit bounds Do not actually compute explicit answers val a 3cos xdydx where R is the region bounded by x 7 x B y 0 and y secx b sinx cos ydydx where R is the region bounded by x 7r R y7r x0andy27r c The area of the region R bounded by y 4 7 295 y 2 x 0 and x 1 Book problems on this material 0 Chapter 66 pp 4617463 1742 0 Chapter 87 p 608 1725 0 Chapter 8 review p 619 43746 6 Solve the following 3 Find all the relative maxima and minima if any of the function fx y 295g 7 5x2 7 2y2 4x 4y 7 4 b Find the maximum and minimum of the function fx y 3xy7 6 subject to the constraint x2 y2 4 Book problems on this material 0 Chapter 83 p 570 1720 0 Chapter 85 p 594 1716 0 Chapter 8 review p 618 29738

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