1 How do you find the average value of a function g(x) for x = [c, d]? Make a sketch of some function g(x) for x = [c, d] on the axes to the right. d What does g(x)dx represent geometrically on your graph? с What does d-c represent geometrically on your graph? Draw in the height gag on your graph as a horizontal line. What is true about the area under g(x) and the area under gavg for x = [c, d]? Write an equation that reflects this fact.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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How do you find the average value of a function g(x) for x = [c, d]?
Make a sketch of some function g(x) for x = [c, d]
on the axes to the right.
d
What does g(x)dx represent geometrically on your graph?
What does dc represent geometrically on your graph?
Draw in the height gag on your graph as a horizontal line.
What is true about the area under g(x) and the area under gavg for x = [c, d]?
Write an equation that reflects this fact.
Transcribed Image Text:How do you find the average value of a function g(x) for x = [c, d]? Make a sketch of some function g(x) for x = [c, d] on the axes to the right. d What does g(x)dx represent geometrically on your graph? What does dc represent geometrically on your graph? Draw in the height gag on your graph as a horizontal line. What is true about the area under g(x) and the area under gavg for x = [c, d]? Write an equation that reflects this fact.
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