Question: for each question please remember to explain your reasoning and Determine the discretization factor please label as 1, 2 and 3 thank you! ? f(x)

for each question please remember to explain your reasoning and Determine the discretization factor please label as 1, 2 and 3 thank you!

f(x) = 0.2 + 25x - 200x2 + 675x3 - 900x4 + 400x5 Determine the discretization factor and explain your reasoning for all 3 questions. 1) Use the rectangular rule to calculate the integral from 0 to 0.8 to above equation. Exact result = 1.640533. Compute the error. 2) Use the trapezoidal rule to calculate the integral from 0 to 0.8 to above equation. Exact result = 1.640533. Compute the error. 3) Use the Simpson's 1/3 rule to calculate the integral from 0 to 0.8 to above equation. Exact result = 1.640533. Compute the error

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