The function values f(x) in the table below is increasing for 0Sx< 12. 0 369 12 f(x) 34 35 37 4244 12 (A) Find a right-hand sum to estimate the integral of f(x) dx using all possible intervals in the table above having either Ax = 3 or Ax = 6. Ax = 3, Integral Estimate = Σ Ax = 6, Integral Estimate = Σ (B) Which of the two answers in part (A) is more accurate? Ax = Σ is more accurate (Be sure that you can explain why.) (C) Find a left-hand sum to estimate the integral using Ax = 3. Integral Estimate = Σ

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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The function values f(x) in the table below is increasing for 0 < x < 12.
0 369 12
f(x) 34 35 37 42 44
(A) Find a right-hand sum to estimate the integral of
f(x) dx using all possible intervals in the table above having either Ax = 3 or Ax = 6.
Ax = 3, Integral Estimate =
Σ
Ax = 6, Integral Estimate =
Σ
(B) Which of the two answers in part (A) is more accurate?
Ax =
Σ
is more accurate
(Be sure that you can explain why.)
(C) Find a left-hand sum to estimate the integral using Ax = 3.
Integral Estimate =
Σ
Transcribed Image Text:The function values f(x) in the table below is increasing for 0 < x < 12. 0 369 12 f(x) 34 35 37 42 44 (A) Find a right-hand sum to estimate the integral of f(x) dx using all possible intervals in the table above having either Ax = 3 or Ax = 6. Ax = 3, Integral Estimate = Σ Ax = 6, Integral Estimate = Σ (B) Which of the two answers in part (A) is more accurate? Ax = Σ is more accurate (Be sure that you can explain why.) (C) Find a left-hand sum to estimate the integral using Ax = 3. Integral Estimate = Σ
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