Question

F(x) = sin (4x)/2x what are the x intercepts between 0 and pi..

Answer 1

The x-intercepts between 0 and π for the function f(x) = sin(4x)/(2x) are x = 0, x = π/4, x = π/2, and x = 3π/4.

Step-by-step explanation:

The x-intercepts of a function are the values of x for which the function equals zero. In this case, we need to find the values of x between 0 and π that make the function f(x) = sin(4x)/(2x) equal to zero.

To find the x-intercepts, we set the function equal to zero: sin(4x)/(2x) = 0.

Since sin(4x) = 0 when 4x = nπ (where n is an integer), we solve the equation 4x = nπ to find the values of x. By dividing both sides by 4, we get x = nπ/4.

So, the x-intercepts between 0 and π are x = 0, x = π/4, x = π/2, and x = 3π/4.

Answer 2

The x intercept means that F(x) = 0
sin(4x)/2x=0
Which means that sin 4x=0
4x E (-1)^n arcsin 0 +npi
x E {npi/4}
For x between 0 and pi means that x E {0, pi/4, pi/2, 3pi/4, pi}.
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