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
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff4893c46-a94c-4c81-a9fc-277ce07300a6%2Fd9a9d798-6eb6-4d4f-becc-3889df46c01b%2Fgr46cxk_processed.png&w=3840&q=75)
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff4893c46-a94c-4c81-a9fc-277ce07300a6%2Fd9a9d798-6eb6-4d4f-becc-3889df46c01b%2Fs2rd2hh_processed.png&w=3840&q=75)
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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