Calculus 2-A6

Calculus 2-A6 - Calculus II Calculus Early Transcendental...

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Calculus: Early Transcendental Functions , 4th ed., by Ron Larson, Robert Hostetler, and Bruce H. Edwards (Boston: Houghton Mifflin, 2007; ISBN-10: 0-618-60624-6). Written Assignment 6 Complete the following textbook exercises for sections 9.1, 9.2, 9.3, and 9.4, and submit them to your mentor for correction and grading. Show all calculations. SECTION 9.1 Exercises Do exercises 2, 48, 72, 84, and 90 on pages 602–603 of the textbook. 2. In Exercises 1– 10, write the first five terms of the sequence . First five terms of the sequence Substitute, n, for the values 1 through 5 a 1 = 3 1 /1! = 3 a 2 = 3 2 /2! = 9/2*1 = 9/2 a 3 = 3 3 /3! = 27/3*2*1 = 27/6 = 9/2 a 4 = 3 4 /4! = 81/ 4*3*2*1 = 81/24 = 27/8 a 5 = 3 5 /5! = 243/120 = 243/ 5*4*3*2*1 = 81/40 48. In Exercises 47– 68, determine the convergence or divergence of the sequence with the given nth term. If the sequence converges, find its limit. n = 0 to n = 3 a 0 = 1 + (-1) 0 = 1 + 1 = 2 a 1 = 1 + (-1) 1 = 1 - 1 = 0 a 2 = 1 + (-1) 2 = 1 + 1 = 2 a 3 = 1 + (-1) 3 = 1 - 1 = 0 Alternates between 0, 2 the sequence is oscillating but not divergent. 72. In Exercises 69– 82 , write an expression for the term of the sequence . ( There is more than one correct answer.) a n = (-1) n - 1 /n 2 84. In Exercises 83– 94, determine whether the sequence with the given term is monotonic . Discuss the

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Calculus 2-A6 - Calculus II Calculus Early Transcendental...

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