1. (Groups A and D) Let f(x) = |x| for -1 ≤ x ≤ 2. Calculate L(P, f) and U(P, f) for the following partitions. Include a sketch of the Darboux sums for each. (a) P₁ = {-1, 0, 1, 2} 3 (b) P₂ = 2 = {-1₁ - 1,0, 12, 14, 21, 2} 0.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.1: Infinite Sequences And Summation Notation
Problem 54E
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1. (Groups A and D) Let f(x) = |x| for −1 ≤ x ≤ 2. Calculate L(P, ƒ) and U(P, f) for the following partitions.
Include a sketch of the Darboux sums for each.
(a) P₁ = {-1,0, 1, 2}
:
3
B = {-1,-1,0, 1, ¹, 1, 2}
−1,
1,
2²
(b) P₂
Transcribed Image Text:1. (Groups A and D) Let f(x) = |x| for −1 ≤ x ≤ 2. Calculate L(P, ƒ) and U(P, f) for the following partitions. Include a sketch of the Darboux sums for each. (a) P₁ = {-1,0, 1, 2} : 3 B = {-1,-1,0, 1, ¹, 1, 2} −1, 1, 2² (b) P₂
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