Suppose that f is continuous on [a, b], f (a) exists, and µ is between f(a) and (f(b) f(a))/(b-a). Show that f(c) = f(a) = µ(ca) for some c in (a, b). -
Suppose that f is continuous on [a, b], f (a) exists, and µ is between f(a) and (f(b) f(a))/(b-a). Show that f(c) = f(a) = µ(ca) for some c in (a, b). -
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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![17. Suppose that f is continuous on [a, b], ƒ (a) exists, and µ is between f(a) and
(ƒ(b) – ƒ(a))/(b − a). Show that f(c) — f(a) = µ(c − a) for some c in (a, b).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F30f34acc-cb1c-4cb7-8199-d8fd5748a2a6%2Fd682d410-5a6b-4933-abd7-94698eb416fd%2F5d5s4v_processed.jpeg&w=3840&q=75)
Transcribed Image Text:17. Suppose that f is continuous on [a, b], ƒ (a) exists, and µ is between f(a) and
(ƒ(b) – ƒ(a))/(b − a). Show that f(c) — f(a) = µ(c − a) for some c in (a, b).
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