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Here a calculus question about continuity. I'm unsure about my answers. Please explain

Here a calculus question about continuity. I'm unsure about my answers. Please explain

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Here a calculus question about continuity. I'm unsure about my answers. Please explain and answer it, thank you!

Assume that g(x) > f(x)and f(x) ≥ 0. If f g(x) dx converges, then f f(x)dx [Select] If g(x) dx diverges, then f(x) dx [Select] If f(x) dx converges, then f g(x) dx [Select] If f(x) dx diverges, then g(x)dx [Select] [Select] diverges could either converge or diverge Not enough information to decide. converges
Transcribed Image Text:Assume that g(x) > f(x)and f(x) ≥ 0. If f g(x) dx converges, then f f(x)dx [Select] If g(x) dx diverges, then f(x) dx [Select] If f(x) dx converges, then f g(x) dx [Select] If f(x) dx diverges, then g(x)dx [Select] [Select] diverges could either converge or diverge Not enough information to decide. converges
Assume that g(x) > ƒ(x)and f(x) ≥ 0. If f g(x) dx converges, then f f(x) dx converges If g(x)dx diverges, then f f(x) dx could either converge or divel If f f(x) dx converges, then g(x) dx converges If f(x) dx diverges, then g(x) dx could either converge or dive V
Transcribed Image Text:Assume that g(x) > ƒ(x)and f(x) ≥ 0. If f g(x) dx converges, then f f(x) dx converges If g(x)dx diverges, then f f(x) dx could either converge or divel If f f(x) dx converges, then g(x) dx converges If f(x) dx diverges, then g(x) dx could either converge or dive V
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