Consider the function f(x) = 4 − |x| defined on [-4, 4]. (a) Compute the left Riemann sum L12. L12 (b) Compute the right Riemann sum R12. R12 help (numbers) help (numbers) (c) Compute the average value of L12 and R12. Average value 1- Area help (numbers) (d) Compute the area under the graph of f. help (numbers) (e) Compare the two values found in (c) and (d). The average value is ? the area.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Consider the function f(x) = 4 - |x| defined on [−4, 4].
(a) Compute the left Riemann sum L12.
L12
(b) Compute the right Riemann sum R12.
R12
help (numbers)
(c) Compute the average value of L12 and R12.
Average value =
B
help (numbers)
Area
-
(d) Compute the area under the graph of f.
→
→
help (numbers)
(e) Compare the two values found in (c) and (d).
The average value is?
the area.
help (numbers)
Transcribed Image Text:Consider the function f(x) = 4 - |x| defined on [−4, 4]. (a) Compute the left Riemann sum L12. L12 (b) Compute the right Riemann sum R12. R12 help (numbers) (c) Compute the average value of L12 and R12. Average value = B help (numbers) Area - (d) Compute the area under the graph of f. → → help (numbers) (e) Compare the two values found in (c) and (d). The average value is? the area. help (numbers)
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