4. Fit the following data points using Newton's Divided Difference Interpolating polynomial. Round off values to 4 decimal places. Show the step-by-step solution similar to the lesson. 0 2 4 8 10 12 f(x) 52.698 53.414 49.002 41.718 35.354 35.238 48.234 5. Estimate the integral of the given function in problem 4 from x = 0 to x = 12 using the different techniques below for n = 12 segments. Show the step-by-step solution. Tabulate the results similar to the lecture notes. Round off any computed value to 4 decimal places. a. Simpson's 1/3 Rule (Multiple application) b. Simpson's 3/8 Rule (Multiple application) c. Boole's Rule

Q: Solve for x   101+x-101-x=99

A:

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A: To find the value of x

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A: We can solve the quinary number system problem as below.

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Q: Please solve (b)

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A: Given that  8-2y=4               ⇒2y=8-4               ⇒2y=4                ⇒y=2…

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Q: 18

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