5. Suppose that f: R→ R is continuous. and f(ro) > 0.. Prove that there is an in- terval I = (xoxo+), where n is natural number, such that f(x) > 0 for all x in I.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter6: Applications Of The Derivative
Section6.2: Applications Of Extrema
Problem 1YT: Find two nonnegative number x and y for which x+3y=30, such that x2y is maximized.
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5. Suppose that ƒ : R → R is continuous. and f(x) > 0.. Prove that there is an in-
terval I = (xo-=,xo+=), where n is natural number, such that f(x) > 0 for all x in I.
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Transcribed Image Text:Ⓒ✓ H 04 5. Suppose that ƒ : R → R is continuous. and f(x) > 0.. Prove that there is an in- terval I = (xo-=,xo+=), where n is natural number, such that f(x) > 0 for all x in I. Q Search 2 C M e QI
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