Suppose f has absolute minimum value m and absolute maximum value M. Between what two values must 3 f(x) dx 0 lie? (smaller value) (larger value) Which property of integrals allows you to make your conclusion? c f(x) dx a + b f(x) dx c = b f(x) dx a a f(x) dx a = 0 If m ≤ f(x) ≤ M for a ≤ x ≤ b, then m(b − a) ≤
Suppose f has absolute minimum value m and absolute maximum value M. Between what two values must 3 f(x) dx 0 lie? (smaller value) (larger value) Which property of integrals allows you to make your conclusion? c f(x) dx a + b f(x) dx c = b f(x) dx a a f(x) dx a = 0 If m ≤ f(x) ≤ M for a ≤ x ≤ b, then m(b − a) ≤
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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Question
Suppose f has absolute minimum value m and absolute maximum value M. Between what two values must
3 | f(x) dx |
0 |
lie?
|
|
Which property of integrals allows you to make your conclusion?
c | f(x) dx |
a |
b | f(x) dx |
c |
b | f(x) dx |
a |
a | f(x) dx |
a |
If m ≤ f(x) ≤ M for a ≤ x ≤ b, then m(b − a) ≤
≤ M(b − a).
b | f(x) dx |
a |
If f(x) ≥ 0 for a ≤ x ≤ b, then
≥ 0.
b | f(x) dx |
a |
b | f(x) dx |
a |
a | f(x) dx |
b |
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