Question

The smallest positive zero of ( f(x)=x tan (x)+1 ) is a measure of how quickly certain evanescent water waves decay, and its value, ( x_{0} ), is near 3.5 .

Answer 1

The smallest positive zero of the function f(x) = x tan(x) + 1 represents the decay rate of certain evanescent water waves. It approaches zero due to destructive interference.

Step-by-step explanation:

The smallest positive zero of the function f(x) = x tan(x) + 1 represents the decay rate of certain evanescent water waves. The value of this zero, denoted as x0, is approximately 3.5. It is important to note that the value of x is likely to be any number between 1.5 and 4.5. The function approaches zero because all wave crests superimpose on each other through destructive interference.

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