Answer:
-1
Step-by-step explanation:
The radian gives the coordinates: (
(found using the unit circle)
cot=x/y
Plug the x and y coordinates into their respective places in the equation.
You get the answer of -1.
Answer:
Step-by-step explanation:
The difference would be that for (-5)^2 you would have to do anything that was in the parenthesis first and then square it up, but for -5^2 you would just square it up immediately. In this specific case both outcomes would be the same result and the answer would be 25 since a negative times a negative is a positive. It would be the same because there is nothing in the parenthesis.
Answer:
Range: 1 > x > 3
Step-by-step explanation:
We are given then function;
y = x³ - 6x² + 9x + 5
dy/dx = 3x² - 12x + 9
We want to find the range of values of x for which dy/dx > 0
Thus;
3x² - 12x + 9 > 0
Using quadratic formula, we have;
x = 1 and x = 3
Let's define the range;
try x = 0
3(0²) - 12(0) + 9 = 9
This is more than 0, so it is part of the solution.
Let's try x = 4
3(4²) - 12(4) + 9 = 9
This is more than 0 so it is part of the solution
Let's try x = 2
3(2²) - 12(2) + 9 = -3
This is less than 9 and so it's not part of the solution.
Thus the range of values of x for which dy/dx > 0 is;
1 > x > 3
