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Please help me with the following questions. Also, please explain the difference between 2-point forward and 3-point centered difference formula. I'll rate a thumb up.

Please help me with the following questions.

Also, please explain the difference between 2-point forward and 3-point centered difference formula.

I'll rate a thumb up.

image text in transcribedimage text in transcribed
1. (5 pts.) Use the 2-point forward difference formula with h = 0.1, h = 0.05, and h = 0.025 to estimate the derivative f'(w/3), where f(x) = cos(r - $). For each case, find a theoretical bound on the error and compare it to the observed error.2. (5 pts.) Use the 3-point centered difference formula with h = 0.1, h = 0.05, and h = 0.025 to estimate the derivative f'(*/3), where /(x) = cos(x -;). For each case, find a theoretical bound on the error and compare it to the observed error

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