• Let f(x) = 5x. Let P be the partition {0, 1/3, 2/3, 1}. Compute Lp(f) and Up(f). • Let f(x) = 5x and, for each n e N, let Pn be the partition {0, 1/n, 2/n, -..,n/n} of [0, 1]. Compute UP, (f) and limn→. UP, (f). • Conclude the value of 5xdx. 1.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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#1. Please see attached. Thanks. 

• Let f(x) = 5x. Let P be the partition {0, 1/3, 2/3, 1}. Compute Lp(f) and Up(f).
• Let f(x) = 5x and, for each n e N, let Pn be the partition {0, 1/n, 2/n, -..,n/n} of
[0, 1]. Compute UP, (f) and limn→. UP, (f).
• Conclude the value of 5xdx.
1.
Transcribed Image Text:• Let f(x) = 5x. Let P be the partition {0, 1/3, 2/3, 1}. Compute Lp(f) and Up(f). • Let f(x) = 5x and, for each n e N, let Pn be the partition {0, 1/n, 2/n, -..,n/n} of [0, 1]. Compute UP, (f) and limn→. UP, (f). • Conclude the value of 5xdx. 1.
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