(1) Compute f₁ x² dx using a Riemann sum ₁ f(t₁)(x₁ - x₁-1) with a partition that divides [-1,3] into n equal pieces [xi-1, xi], where i = {1,..., n} and ti is chosen as (a) the left end point of the interval [xi-1, xi] (b) the midpoint of the interval [x-1, xi] (c) the point where f attains its maximum on the interval [i-1, xi] (d) the point where f attains its minimum on the interval [i-1, x₂]

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 73E
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c and d parts of question.

(1) Compute ₁x² dx using a Riemann sum Σ₁ f(ti) (xi — xį−1) with a partition that
divides [-1,3] into n equal pieces [xi-1, xi], where i € {1,...,n} and t; is chosen as
(a) the left end point of the interval [i-1, xi]
(b) the midpoint of the interval [xi−1, xi]
(c) the point where f attains its maximum on the interval [xi-1, xi]
(d) the point where f attains its minimum on the interval [i-1, x₂]
c4 2
Transcribed Image Text:(1) Compute ₁x² dx using a Riemann sum Σ₁ f(ti) (xi — xį−1) with a partition that divides [-1,3] into n equal pieces [xi-1, xi], where i € {1,...,n} and t; is chosen as (a) the left end point of the interval [i-1, xi] (b) the midpoint of the interval [xi−1, xi] (c) the point where f attains its maximum on the interval [xi-1, xi] (d) the point where f attains its minimum on the interval [i-1, x₂] c4 2
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