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Give examples of functions, which satisfy the following conditions, and justify your choice. If no such functions exists, explain why. a. A function f(r) such that f f(r) da converges, but fo f(x) da diverges. b. A function f(x) such that both f f(x) dx and f f(x) dx diverge. c. A function f(x), such that 0≤ f(r) ≤ 10 for every x = [0, ∞0) and f d. A function f(x), such that 0 ≤ f(x) ≤ 10 for every x = [0, ∞) and f f(x) dx diverges. f(x) dx converges.

Give examples of functions, which satisfy the following conditions, and justify your choice. If no such functions exists, explain why. a. A function f(r) such that f f(r) da converges, but fo f(x) da diverges. b. A function f(x) such that both f f(x) dx and f f(x) dx diverge. c. A function f(x), such that 0≤ f(r) ≤ 10 for every x = [0, ∞0) and f d. A function f(x), such that 0 ≤ f(x) ≤ 10 for every x = [0, ∞) and f f(x) dx diverges. f(x) dx converges.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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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Give examples of functions, which satisfy the following conditions, and justify your choice. If no such functions exists, explain why. a. A function f(r) such that f f(x) dx converges, but fo f(x) dx diverges. b. A function f(x) such that both f f(r) dr and f f(r) da diverge. c. A function f(x), such that 0 ≤ f(x) ≤ 10 for every x € [0, ∞) and f f(x) dx diverges. d. A function f(x), such that 0≤ f(x) ≤ 10 for every x = [0, ∞) and f f(x) dx converges.
Transcribed Image Text:Give examples of functions, which satisfy the following conditions, and justify your choice. If no such functions exists, explain why. a. A function f(r) such that f f(x) dx converges, but fo f(x) dx diverges. b. A function f(x) such that both f f(r) dr and f f(r) da diverge. c. A function f(x), such that 0 ≤ f(x) ≤ 10 for every x € [0, ∞) and f f(x) dx diverges. d. A function f(x), such that 0≤ f(x) ≤ 10 for every x = [0, ∞) and f f(x) dx converges.
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