Answer:
4
Step-by-step explanation:
The question is not clear. You have indicated the original function as 12sin(0) - 9sin²(0)
If so, the solution is trivial. At 0, sin(0) is 0 so the solution is 0
However, I will assume you meant the angle to be
rather than 0 which makes sense and proceed accordingly
We can find the maximum or minimum of any function by finding the first derivate and setting it equal to 0
The original function is

Taking the first derivative of this with respect to
and setting it equal to 0 lets us solve for the maximum (or minimum) value
The first derivative of
w.r.t
is

And setting this = 0 gives

Eliminating
on both sides and solving for
gives us
Plugging this value of
into the original equation gives us

This is the maximum value that the function can acquire. The attached graph shows this as correct
Answer:
slope = - 
Step-by-step explanation:
Calculate the slope m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 3, 4) and (x₂, y₂ ) = (4, - 1)
m =
= - 
Answer:
-3
Step-by-step explanation:
f(x)=-2x+7
f(5)=-2×5+7
=-10+7
=-3
Answer: u can research it up
Step-by-step explanation: 210/100 i guess
Answer:
Simplify
1. 20:10 = 2:1
2. 30:36 = 5:6
3. 54: 12 = 18:7
Step-by-step explanation:
Answer for Number 1
The GCF of 20 and 10 is 10
Divide both by the GCF, 10:
20 ÷ 10 = 2
10 ÷ 10 = 1
The ratio 20 : 10 can be reduced t by dividing both terms by the GCF = 10
20 : 10 = 2 : 1