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Let f: R → R be defined by f(x) = [2], and define F: R→ R by F(x) = [₁ f. Find a formula for F. Where is F continuous? Where if F differentiable? When does F'(x) = f(x)?

Let f: R → R be defined by f(x) = [2], and define F: R→ R by F(x) = [₁ f. Find a formula for F. Where is F continuous? Where if F differentiable? When does F'(x) = f(x)?

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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Let f: R → R be defined by f(x) = [2], and define F: R→ R by F(x) = [f. Find a formula for F. Where is F continuous? Where if F differentiable? When does F'(x) = f(x)?
Transcribed Image Text:Let f: R → R be defined by f(x) = [2], and define F: R→ R by F(x) = [f. Find a formula for F. Where is F continuous? Where if F differentiable? When does F'(x) = f(x)?
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