What is the rate of change from x = 0 to x = pi over 2?

Question

zzr0ck3r · Answer

of?

anonymous · Answer

attachment

zzr0ck3r · Answer

unless its a constant function I assume you mean average rate?

anonymous · Answer

those are the answer possibilities

zzr0ck3r · Answer

the question does not make sense....

anonymous · Answer

The amplitude is 3 and the period is 1, so the function is given by 

y = 3 Sin Θ 

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) 

Subbing known values, 

m = (3 - 0) / (π/2 - 0) 
m = 3 / π/2 
m = 3(2/π) 
m = 6/π 
m = 1.91

anonymous · Answer

thank you so much!

zzr0ck3r · Answer

this is not the rate of change from 0 to 2pi as that question does not make sense for a non constant function.

anonymous · Answer

Its really easy actually, To find this, you need to find the slope of the interval. The easiest way to do this is to just do a simple slope equation of rise over run. This is (3/pi/2) 

=3/pi/2 or 1.910 or 6/pi