. Зп 2п f (x) dx

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Let f(x)= tan(x∕10) for 2π≤x≤3π. We want to estimate

*Attached

by the midpoint method.

In (a), (b) and (c), you must give the exact values (in the form of formulas). Approximate decimal values are not accepted.
a) Divide the domain of f into 5 subintervals of the same length. Calculate their common length Δx

b) What are the midpoints m1, m2, m3, m4 and m5? List their values below, in ascending order, separated by commas.

c) List the corresponding values f(m1), f(m2), f(m3), f(m4) and f(m5) below, separated by commas.

d) Using the information found in (a), (b) and (c), determine the approximation of

*Attached

provided by the midpoint method with 5 sub-intervals. Give the answer to 3 decimal places.

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