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1. [1p] Find the values a such that the average value of the function f(x) = 10 – 4x + 9x2 on the interval [-a, a] is equal to 22. %3D

1. [1p] Find the values a such that the average value of the function f(x) = 10 – 4x + 9x2 on the interval [-a, a] is equal to 22. %3D

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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1. [1p] Find the values a such that the average value of the function f(x) = interval [-a, a] is equal to 22. = 10 – 4x+ 9x² on the 2. [1.5p] Show that if f"(x) < 0 for x € [a, b], then 3 [f (a) + f(b)] < favg < f () . Hint: use areas to show the required inequality.
Transcribed Image Text:1. [1p] Find the values a such that the average value of the function f(x) = interval [-a, a] is equal to 22. = 10 – 4x+ 9x² on the 2. [1.5p] Show that if f"(x) < 0 for x € [a, b], then 3 [f (a) + f(b)] < favg < f () . Hint: use areas to show the required inequality.
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