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Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

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Chapter
Section
BuyFindarrow_forward

Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

Graph the function by hand, not by plotting points, but by starting with the graph of one of the standard functions given in Section 1.2, and then applying the appropriate transformations.

13. y = 2 cos 3 x

To determine

To sketch: The function y=cosx by hand without plotting any points and then graph the function y=2cos3x .

Explanation

The standard graph of the function y=cosx is roughly drawn and shown below in Figure 1.

Then, draw the graph of y=cos3x , by shrink the graph y=cosx horizontally by a factor of 3. Thus, the graph of y=cos3x is shown below in Figure 2.

Observe that Figure 2 is compressed from Figure 1 by a factor of 3

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