O Find the value of the area (in unit2) between the x-axis and the graph of f over the interval [-1, 3] using rectangles. For the rectangles, use the square units, and approximate both above and below the lines. above below unit² 4 unit² Use geometry to find the exact answer (in unit2). unit²

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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above
-4
-2
Find the value of the area (in unit2) between the x-axis and the graph of f over the interval [-1, 3] using rectangles. For the rectangles, use the square units, and approximate both above and below
the lines.
+
unit²
2
unit²
Use geometry to find the exact answer (in unit²).
unit²
Transcribed Image Text:above -4 -2 Find the value of the area (in unit2) between the x-axis and the graph of f over the interval [-1, 3] using rectangles. For the rectangles, use the square units, and approximate both above and below the lines. + unit² 2 unit² Use geometry to find the exact answer (in unit²). unit²
Consider the function f(x) = |x|.
Sketch the graph of f over the interval [-1, 3] and shade the region above the x-axis.
y
-4
- 4
-2
-2
2
2
4
4
X
-4
-2
2
4
- 4
18
y
2
4
x
Transcribed Image Text:Consider the function f(x) = |x|. Sketch the graph of f over the interval [-1, 3] and shade the region above the x-axis. y -4 - 4 -2 -2 2 2 4 4 X -4 -2 2 4 - 4 18 y 2 4 x
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