t 46. Use Property 8 to estimate the value of the integral 1 Cdx dx o 1 + x² 47-48 Fypreco th (2

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter1: Functions
Section1.2: Functions Given By Tables
Problem 32SBE: Does a Limiting Value Occur? A rocket ship is flying away from Earth at a constant velocity, and it...
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Number 46
44. Suppose f has absolute minimum value m and abso
maximum value M. Between what two values must
f(x) dx lie? Which property of integrals allows yo
make your conclusion?
45. Use the properties of integrals to verify that
2 = √²₁ √₁ + x² dx = 2√2
46. Use Property 8 to estimate the value of the integral
1
0 1 + x
47-48 Express the limit as a definite integral.
[Hint: Consider f(x) = x².]
47. lim
140
48. lim
n
n-∞ n
5
dx
1 + (i/n)²
art. Due to electronic rights, some third party content may be suppressed from the eBook and/or eChapter(s).
ge Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it.
Transcribed Image Text:44. Suppose f has absolute minimum value m and abso maximum value M. Between what two values must f(x) dx lie? Which property of integrals allows yo make your conclusion? 45. Use the properties of integrals to verify that 2 = √²₁ √₁ + x² dx = 2√2 46. Use Property 8 to estimate the value of the integral 1 0 1 + x 47-48 Express the limit as a definite integral. [Hint: Consider f(x) = x².] 47. lim 140 48. lim n n-∞ n 5 dx 1 + (i/n)² art. Due to electronic rights, some third party content may be suppressed from the eBook and/or eChapter(s). ge Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it.
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