Dariusco2019
Dariusco2019 Dariusco2019
  • 12-05-2019
  • Mathematics
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Stay the amplitude and maximum output for the function!!! Help needed!!

Stay the amplitude and maximum output for the function Help needed class=

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kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 12-05-2019

ANSWER

The amplitude is 2 and the maximum value is 2.

EXPLANATION

The given function is

[tex]f(t) = 2 \sin(t) [/tex]

This function is of the form:

[tex]f(t) = a\sin(bt) [/tex]

The amplitude of this function is

[tex] |a| [/tex]

Hence the amplitude is

[tex] |2| = 2[/tex]

Since the amplitude is 2, and there is no vertical shift, it means the function is bounded by

y=-2 and y=2.

The maximum value is :

2

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