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Problem 10 Easy Difficulty

(a)Without using a graphing utility, specify the amplitude and the period for each of the following four functions:
$y=\cos x, y=2 \cos x, y=3 \cos x,$ and $y=4 \cos x$
(b) Check your answers in part (a) by graphing the four functions. (Use the viewing rectangle specified in Exercise 1.)

Answer

a) for $y=\cos x \Rightarrow A=1,$ period $=2 \pi$
for $y=2 \cos x \Rightarrow A=2,$ period $=2 \pi$
for $y=3 \cos x \Rightarrow A=3,$ period $=2 \pi$
for $y=4 \cos x \Rightarrow A=4,$ period $=2 \pi$

Discussion

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Top Algebra Educators
Catherine R.

Missouri State University

Kayleah T.

Harvey Mudd College

MG
Maria G.

Numerade Educator

Michael J.

Idaho State University

Video Transcript

So for party we have by is equal to co sign off X. And for that we can say that the empirical physical toe one for why is equal to to co sign X, the amputee musical to To for wise equal to three co sign X. The attitude is equal to three and four y is equal to four co sign X. The applicant is equal to four. And then for each of those, the period is he quitted to buy and for part B, it just ask you to draw the graphs so you can see the crafts get on the right side.

Other Schools
Top Algebra Educators
Catherine R.

Missouri State University

Kayleah T.

Harvey Mudd College

MG
Maria G.

Numerade Educator

Michael J.

Idaho State University