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Unformatted text preview: concentration of dissolved oxygen at T = 6 degrees Celsius. (b) By hand, construct a natural cubic spline to t the data. Based on the spline, what is the sea-level concentration of dissolved oxygen at T = 6 degrees Celsius? (c) Write down the equations for the c i (by hand) for a clamped cubic spline with zero derivatives at the end knots. Do not solve the system, and do not nd the clamped cubic spline, just write down the equations for the c i . 4. Consider the integral 5 Z 2 e-3 x dx (a) Evaluate the integral using Simpsons 1/3 rule with n = 4. (b) What value of n would be required to estimate the integral with Simpsons 1/3 rule to guarantee an accuracy of 10-6 . 5. Do one iteration of Romberg integration to approximate 2 R 1 cos ( x 2 ) dx . Also compute the approximate percent relative error of your approximation....
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This note was uploaded on 03/07/2012 for the course MTH MTH510 taught by Professor Dr.silvanailie during the Winter '12 term at Ryerson.
- Winter '12
- Numerical Analysis