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
21 because you just multiply the 2 numbers.
72⁰_______3π m
360⁰______15π m
C = 15π = 2π r
r = 7•5 m
Answer:
D. Minimum at (3, 7)
Step-by-step explanation:
We can add and subtract the square of half the x-coefficient:
y = x^2 -6x +(-6/2)^2 +16 -(-6/2)^2
y = (x -3)^2 +7 . . . . . simplify to vertex form
Comparing this to the vertex for for vertex (h, k) ...
y = (x -h)^2 +k
We find the vertex to be ...
(3, 7) . . . . vertex
The coefficient of x^2 is positive (+1), so the parabola opens upward and the vertex is a minimum.
Answer:
If you want a simple average, you can add all the speeds you see and divide them by the number of how many they are.
So firstly you have to calculate the speed of the first point, which is:
20 miles/0.5 hour
That means: 40 miles/hour
That would be your first "speed"
Then you calculate all of them :speed1+speed2+speed3 = something.
As an example: 20miles/hr + 40miles/hr+0miles/hr = 60miles/hr
Then, you divide it by how many "speeds" they are: 60miles/hr divided by 3 if I continue my previous example.
It is my first answer, and I hope I could help you a bit!
Sorry for the awkward English, as it is not my mother tongue.
Step-by-step explanation:
