What is the amplitude of the sinusoid's graph? y = -4 sin 3x
1 answer:
Answer:
Amplitude = 4
Step-by-step explanation:
The general form of a sine curve would be where A is the <u>"amplitude"</u>, or the "tallness" or "shortness" of the graph.
Technically, amplitude is the absolute value of the number that is multiplied in front of "Sin". So the amplitude is 4.
<u>Note:</u> The negative sign in front of 4 plays the role of "flipping" the curve upside down.
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The average value over the interval is the area under the curve divided by the width of the interval.
Area = 4*(6 -1) +5(8 -6) = 30
Width = 8 - 1 = 7
Average value = 30/7 = 4 2/7
Area = 4*(6 -1) +5(8 -6) = 30
Width = 8 - 1 = 7
Average value = 30/7 = 4 2/7