2. Let f(x)=√x. (a) Sketch the function over the interval [0, 4] and the rectangles corresponding to L4. Calcu- late the area contained within them. (b) Sketch the function over the interval [0, 4] and the rectangles corresponding to R4. Calcu- late the area contained within them. (c) Make a conclusion about the area under the curve f(x)=√x over the interval [0, 4].

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
2. Let f(x)=√√x.
(a) Sketch the function over the interval [0, 4] and the rectangles corresponding to L4. Calcu-
late the area contained within them.
(b) Sketch the function over the interval [0, 4] and the rectangles corresponding to R4. Calcu-
late the area contained within them.
(c) Make a conclusion about the area under the curve f(x)=√x over the interval [0, 4].
Transcribed Image Text:2. Let f(x)=√√x. (a) Sketch the function over the interval [0, 4] and the rectangles corresponding to L4. Calcu- late the area contained within them. (b) Sketch the function over the interval [0, 4] and the rectangles corresponding to R4. Calcu- late the area contained within them. (c) Make a conclusion about the area under the curve f(x)=√x over the interval [0, 4].
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