1. Given the following function: f(x) = -2?(3)+? (16-(x-2)^2) A) Plot your funct

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1. Given the following function: f(x) = -2?(3)+? (16-(x-2)^2) A) Plot your function from x=0 to x=5. B) Estimate the area under the curve for x=0 to x=4. Use any brute method (not the approximation methods listed in your text). C) Find the exact value of: integral from 0-4 f(x)dx ---------> (f(x) from the first part) D) Using the Trapezoidal Rule, estimate the area under the region. E) Using Simpson's Rule, estimate the area under the region. (Be sure to use the same number of partitions as you did for the other method). F) Compare the estimation methods to the exact value of the area. Which method is more accurate? 2. Given the following function: g(x) =1/(x+1) A) Plot your function on a reasonable interval, knowing that you are going to find the area under the curve from x=1 to x=5. B) Determine the number of partitions necessary so that the Error from the Trapezoidal Rule is less than 1%: |En|?0.01 C) Determine the number of partitions necessary so that the Error from Simpson's Rule is less than 1%. D) Based on the results for the first function f(x) above, do your results make sense?

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unable to understand the given function can u ple be alaborate the function

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