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Math 152 Lab march 1

# Math 152 Lab march 1 - 3 1 = a 1 2 1 1 =-n n n a a a 9...

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Math 152 Lab – March 1, 2007 Lab 8 Show all work for the following problems. 1. Determine if the integral converges or diverges and find the value if it converges: ( 29 2 0 1 1 dx x + . 2. Determine if the integral converges or diverges and find the value if it converges: 0 1 1 dx x + . 3. Determine if the integral converges or diverges and find the value if it converges: 1 1/3 1 1 dx x - . 4. Determine if the integral converges or diverges and find the value if it converges: 1 2 0 1 1 dx x - . 5. List the next three terms in each sequence. a. A, B, D, E, G, H, … b. 1, 1, 2, 3, 5, 8, 13, … c. 3, 4, 7, 12, 19, … 6. List the first three terms for the following sequences. a. 1 2 + = n a n b. n n a n 3 2 + = c. ( 29 3 2 1 + + - = n n a n n d. 2 1 3 2 + + = n n a n 7. Determine which sequences from problem 6 converge. If a sequence converges, find what it converges to. 8. Find the first three terms in the following sequence:
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Unformatted text preview: 3 1 = a , 1 2 1 1 + =--n n n a a a . 9. Determine the formula or rule for the following sequences. a. ... , 8 cos , 6 cos , 4 cos , 2 cos b. ... , 4 3 , 3 2 , 2 1 , 1 c. ... , 2 4 , 2 3 , 2 , 2 1 4 3 3 3 d. ... , 81 1 , 27 1 , 9 1 , 3 1 , 1 10. Determine which sequences from problem 9 converge. If a sequence converges, find what it converges to. 11. Complete the table using the bisection method to estimate the root of 12 2 =-x between 3 and 4. n a n m n b ( 29 n a f ( 29 n m f ( 29 n b f 12. Use Newton’s method to find an approximation of the solution to 6 2 3 =-+ x x correct to four decimal places. Use 1 as the first approximation. 13. Use Newton’s method to approximate 3 5 accurate to four decimal places. Use 2 as the first approximation....
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