(a) Find the average value of f(x) = 3x^2 + 4x + 3 on [3, 6]. (b) Find the average value of...

Question:

(a) Find the average value of {eq}f(x) = 3x^2 + 4x + 3 {/eq} on {eq}[3, 6] {/eq}.

(b) Find the average value of {eq}\displaystyle g(x) = \frac{5}{x} + 2e^x {/eq} on {eq}[3, 5] {/eq}.

Average value :

Average value of function is also known as mean of function.

Consider a function {eq}\displaystyle f(x) {/eq} .Then average value of the function {eq}\displaystyle f(x) {/eq} on the interval {eq}\displaystyle [a,b] {/eq} is given by

Average value {eq}\displaystyle = \frac{\int_a^bf(x)dx}{b-a} {/eq}

Answer and Explanation:

Given {eq}\displaystyle F(x) = 3x^2 + 4x +3 {/eq}

Then Average value of function is given by

Average value {eq}\displaystyle =...

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Law of Averages: Definition & Formula

from General Studies Math: Help & Review

Chapter 5 / Lesson 8
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