242hw6 - 4. 5. Find the length of the curve y = ln(1-x 2 )...

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Math 242 Homework 6 Sections 012 and 014: Due Wednesday March 23rd Section 050: Due Tuesday March 22nd Questions 1 through 5 should be done by hand. For questions 6 through 8, you can use Maple as much or as little as you like. 1. Evaluate Z sin(ln x ) dx . (May be a little tricky.) 2. Evaluate Z 0 x x 2 + 2 dx or show that it is divergent. 3. Use Newton’s Method to find a good approximation to 9999 1 / 4 . 4. Find the length of the curve y = ln(sec x ) between x = 0 and x = π/
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Unformatted text preview: 4. 5. Find the length of the curve y = ln(1-x 2 ) between x = 0 and x = 1 / 2. 6. Estimate Z 5 1 cos x x dx using both the Trapezoid Rule and Simpsons Rule with n = 8, n = 16, and n = 32. 7. Estimate Z 1 e x 2 dx using both the Trapezoid Rule and Simpsons Rule with n = 4 and n = 10. 8. Use Simpsons Rule with n = 10 to estimate the length of the curve y = xe-x between x = 0 and x = 5. 1...
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