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Consider the function given by y = cos(bx) on the interval (0, 2). (a) Sketch the graph of y = cos(bx) for b = 2, and 3. %3D y 27 -1

Consider the function given by y = cos(bx) on the interval (0, 2). (a) Sketch the graph of y = cos(bx) for b = 2, and 3. %3D y 27 -1

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Consider the function given by y = cos(bx) on the interval [o, 2x). (a) Sketch the graph of y = cos(bx) for b = 2, and 3. y 27 27 -1 (b) How does the value ofb affect the graph? The value of b determines the period and therefore determines the number of cycles over the interval (0, 2x). (c) How many complete cycles occur between 0 and 2r for each value of b? b= complete cycle(s) b = 2 complete cycle(s) b = 3 complete cycle(s)
Transcribed Image Text:Consider the function given by y = cos(bx) on the interval [o, 2x). (a) Sketch the graph of y = cos(bx) for b = 2, and 3. y 27 27 -1 (b) How does the value ofb affect the graph? The value of b determines the period and therefore determines the number of cycles over the interval (0, 2x). (c) How many complete cycles occur between 0 and 2r for each value of b? b= complete cycle(s) b = 2 complete cycle(s) b = 3 complete cycle(s)
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