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:
$30
Step-by-step explanation:
If the CD paid back 3% interest of the money you put in, all you have to find is what 3% of $1000 is.
3% = 0.03.
0.03 x 1000 is $30.
You earned $30 in interest.
Let's remember the equation for the volume of a cube:
V= x^3 where x is the length of one side
Since a cube has equal length for length, width, and height.
Now, use what you're given
V= 1331
And put that in terms of x
x^3 = 1331
Now solve for x!
x= cube root (1331)
Think about it! cube root of 1331 * cube root of 1331 * cube root of 1331... will equal 1331 m^3!
Hope this helps