2) Consider the function g(x) = 10 - x² over the interval [1,3]. I want you to approximate the average value of this function over the interval [1, 3] by using four rectangles all of equal width. Use the midpoint of each subinterval to calculate the height of each rectangle. Give exact decimal answers. a) The area of these four rectangles is b) Find the approximated average value of this function over the given interval by using the area of the four rectangles.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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2) Consider the function g(x) = 10 - x² over the interval [1,3].
I want you to approximate the average value of this function over the interval [1, 3] by using four rectangles all
of equal width. Use the midpoint of each subinterval to calculate the height of each rectangle. Give exact
decimal answers.
a) The area of these four rectangles is
b) Find the approximated average value of this function over the given
interval by using the area of the four rectangles.
Transcribed Image Text:2) Consider the function g(x) = 10 - x² over the interval [1,3]. I want you to approximate the average value of this function over the interval [1, 3] by using four rectangles all of equal width. Use the midpoint of each subinterval to calculate the height of each rectangle. Give exact decimal answers. a) The area of these four rectangles is b) Find the approximated average value of this function over the given interval by using the area of the four rectangles.
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