The cosine waves amplitude is 25% of the wave length. How many percent larger is this...

The cosine waves amplitude is 25% of the wave length. How many percent larger is this area as compared to being totally flat (amplitude is 0% of wave length). Base your calculations on the numeric length integral for the waves length.

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Expert Solution

Let x be the independent vairable and y be the dependent variable. Let the value when the amplitude is zero be 'a'. Then, the value of the function at any instant is given by:

where L is the wave length.

The area under the curve over one wave length is:

The area is a*L. This value of area for one wave length is independent of the ampllitude of the cosine wave. Hence, the area is same irrespective of whether cosines amplitude is 25% of the wave length or 0% of wave length. In other words the area when amplitude is 25% of the wave length is 0% larger as compared to beind totally flat.

samet mamat answered 1 year ago

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