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i Let f(x) : r3 and c= 0.01. Find an interval (a, b) containing c such that f(x) > 0 for all x E (a, b). ii Let f(x) f (x) > 0 for all x E (a, b). = x³. Let f(c) > 0 for some c. Find an interval (a, b) containing c such that

i Let f(x) : r3 and c= 0.01. Find an interval (a, b) containing c such that f(x) > 0 for all x E (a, b). ii Let f(x) f (x) > 0 for all x E (a, b). = x³. Let f(c) > 0 for some c. Find an interval (a, b) containing c such that

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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Help with i and ii please

i Let f(x) = x³ and c = 0.01. Find an interval (a, b) containing c such that f(x) > 0 for all x E (a, b). ii Let f(x) = x°. Let f(c) > 0 for some c. Find an interval (a, b) containing c such that f (x) > 0 for all x E (a, b).
Transcribed Image Text:i Let f(x) = x³ and c = 0.01. Find an interval (a, b) containing c such that f(x) > 0 for all x E (a, b). ii Let f(x) = x°. Let f(c) > 0 for some c. Find an interval (a, b) containing c such that f (x) > 0 for all x E (a, b).
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