hw-11 - Math 1110 (Fall 2011) HW5 Presentation Problems 2...

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Math 1110 Homework 11 Name: Due 11/21 or 11/22 in class GRADES Text exercises / 20 Pres probs / 20 Staple / 1 Please print out these pages. Write your answers to the “text exer- cises” on separate paper and staple it to these pages. You should include computational details. These problems will be assessed for completeness. Always write neatly and legibly. Please answer the “presentation problems” in the spaces provided. Include full explanations and write your answers in complete, mathemat- ically and grammatically correct sentences. Your answers will be assessed for style and accuracy, and you will be given written feedback on these problems. Text exercises. Please do the following problems from the book. § 4.8 #3, 10, 15, 21, 28, 41, 46, 53, 60, 66, 72, 74, 83, 86, 92, 104, 113, 116, 121 § 5.1 #1, 6, 10, 13, 18, 19, 21 § 5.2 #1, 4, 6, 7, 8, 10, 13, 16, 18, 19, 22, 28, 36, 41, 44 § 5.3 #2, 5, 8, 9, 12, 15, 18, 23, 26, 30, 39, 45, 48, 54, 61, 71, 75, 78, 81 § 5.4 #6, 9, 16, 27, 30, 36, 39, 42, 48, 50, 53, 59, 62, 66, 69, 72, 74, 83
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Unformatted text preview: Math 1110 (Fall 2011) HW5 Presentation Problems 2 Question 1. Please solve the following two problems. (a) Find the function f ( x ) that satises f 00 ( x ) = -3 , f ( ) = 3 and f ( 2 ) = . (b) Please write the sum 7 + 1 + 7 + 2 + 7 + 3 + 7 + 4 + 7 + 5 + + 7 + ( n-1 ) + 7 + n in sigma notation and nd a closed form expression for it. What is the value of the sum when n = 10 ? Math 1110 (Fall 2011) HW5 Presentation Problems 3 Question 2. Determine whether the following statements are (always) true or (at least sometimes) false, and circle your response. Please give a brief explanation (in complete sentences!) a reason why its true, or an example where it fails. (a) The function f ( x ) = sin ( cos ( x )) + x 3 + 7 e x is integrable on the interval [ a,b ] for any real num-bers a and b . TRUE FALSE (b) The area of the region bounded by sin x and the x-axis, between x = - and x = is computed by Z - sin x dx. TRUE FALSE...
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hw-11 - Math 1110 (Fall 2011) HW5 Presentation Problems 2...

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