What is the rate of change from x = 0 to x = pi/2
The amplitude is 3 and the period is 1, so the function is given by
y = 3 SinΘ
At Θ₁ = 0,
y₁ = 3 Sin 0
y₁ = 0
At Θ₂ = π/2,
y₂ = 3 Sin π/2
y₂ = 3
m = (y₂ – y₁) / (Θ₂ – Θ₁)
Subtract from known values,
m = (3 – 0) / (π/2 – 0)
m = 3 / π/2
m = 3(2/π)
m = 6/π
m = 1.91
¯¯¯¯¯¯¯¯¯¯
Source(s): 04/11/13
To find this you need to find the slope of the range. The easiest way to do this is to just do a simple sprint uphill gradient equation. This is (3/pi/2)
=3/pi/2 or 1.910
Source(s): I am a calculus student