3. A Mean Value Theorem for Integrals: Show that if f is continuous on [a, b), then there is at least one number c in (a, b) for which | f(x) dæ = f(c)(b – a). (Hint: Apply the standard Mean Value Theorem to an appropriate function).
3. A Mean Value Theorem for Integrals: Show that if f is continuous on [a, b), then there is at least one number c in (a, b) for which | f(x) dæ = f(c)(b – a). (Hint: Apply the standard Mean Value Theorem to an appropriate function).
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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![3.
A Mean Value Theorem for Integrals: Show that if f is continuous on
[a, b], then there is at least one number c in (a, b) for which
| f(x) dx = f(c)(b – a).
a
(Hint: Apply the standard Mean Value Theorem to an appropriate function).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa7e8cc1e-1513-4d19-9b4e-e77f4807c795%2F46a5a2b7-ea27-4ce6-9272-f8c40ad39592%2F76im2w7j_processed.jpeg&w=3840&q=75)
Transcribed Image Text:3.
A Mean Value Theorem for Integrals: Show that if f is continuous on
[a, b], then there is at least one number c in (a, b) for which
| f(x) dx = f(c)(b – a).
a
(Hint: Apply the standard Mean Value Theorem to an appropriate function).
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