9. Which of the following subsets of the space of real valued functions on R are vector spaces? (There can be more than one valid choice here.) (a) The set of polynomials with real coefficients (b) The set of functions taking only positive values (c) The set of strictly increasing functions (d) The set of integrable functions. (e) The set of continous functions having a continuous derivative.
9. Which of the following subsets of the space of real valued functions on R are vector spaces? (There can be more than one valid choice here.) (a) The set of polynomials with real coefficients (b) The set of functions taking only positive values (c) The set of strictly increasing functions (d) The set of integrable functions. (e) The set of continous functions having a continuous derivative.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Transcribed Image Text:9. Which of the following subsets of the space of real valued functions on R are vector spaces?
(There can be more than one valid choice here.)
(a) The set of polynomials with real coefficients
(b) The set of functions taking only positive values
(c) The set of strictly increasing functions
(d) The set of integrable functions.
(e) The set of continous functions having a continuous derivative.
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