Q. 2TB Average value: Review the averag... [FREE SOLUTION]

Chapter 14: Q. 2TB (page 1105)

Average value: Review the average value formula from Section 4.6. Use the formula to compute the average value of the following functions.
$f (x) = \cos x on [蟺, 2 蟺]$

Short Answer

Expert verified

The average value of the function is $0$ .

Step by step solution

Step 1. Given Information

We have to find the average value formula from Section 4.6. Use the formula to compute the average value of the following functions.
$f (x) = \cos x on [蟺, 2 蟺]$

Step 2. The formula for the average value of a function A is A=1b-a∫abF(x)dx

$A = \frac{1}{2 蟺 - 蟺} {鈭�}_{蟺}^{2 蟺} \cos x d x A = \frac{1}{蟺} {[\sin x]}_{蟺}^{2 蟺} A = \frac{1}{蟺} [\sin 2 蟺 - 蝉颈苍蟺] A = \frac{1}{蟺} [0 - 0] A = 0$

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91影视

Average value: Review the average value formula from Section 4.6. Use the formula to compute the average value of the following functions.
$f (x) = \cos x on [蟺, 2 蟺]$

Short Answer

Step by step solution

Step 1. Given Information

Step 2. The formula for the average value of a function A is A=1b-a∫abF(x)dx

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91影视

Average value: Review the average value formula from Section 4.6. Use the formula to compute the average value of the following functions.f(x)=cosxon[蟺,2蟺]

Short Answer

Step by step solution

Step 1. Given Information

Step 2. The formula for the average value of a function A is A=1b-a∫abF(x)dx

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Theoretical and Mathematical Physics

Logic and Functions

Calculus

Probability and Statistics

Decision Maths

Study anywhere. Anytime. Across all devices.

Average value: Review the average value formula from Section 4.6. Use the formula to compute the average value of the following functions.
$f (x) = \cos x on [蟺, 2 蟺]$