Question

What is the rate of change between the interval of x=3pi/2 and x=2pi

4/pi
Pi/4
2/pi
Pi/2

Answer 1

The value of the function at 3π/2 is 1.
The value of the function at 2π is 3.

If f(x) represents this function, the rate of change from x = 3π/2 to x = 2π can be expressed as:


`(f(2 \pi )-f( (3 \pi )/(2)) )/(2 \pi - (3 \pi )/(2) )`

Using the values in this formula, we get:


`(3-1)/(2 \pi - (3 \pi )/(2) ) \\ \\ = (2)/( ( \pi )/(2) ) \\ \\ = (4)/( \pi )`

This means, the rate of change of the function from x = 3π/2 to x = 2π is 4/π. So option A gives the correct answer