Answer: x = pi/6 and x = pi/3.
Step-by-step explanation:
We have the function:
y = x + 2*cos(x)
It will have a horizontal tangent at the point where it's derivate is equal to zero.
Then first let's differentiate y.
y' = dy/dx = 1 - 2*sin(x).
Then we must find the value of x between 0 and 2*pi (or 0° and 360°)
y'(x) = 1 - 2*sin(x) = 0.
Let's solve that:
2*sin(x) = 1
sin(x) = 1/2.
We know that:
sin(30°) = 1/2.
and
Sin(120°) = 1/2
Then let's convert 30° into radians.
We know that:
pi = 180°.
Then:
pi/180° = 1.
30° = 30°*(pi/180°) = (30°/180°)*pi = (3/18)*pi = pi/6
120° = (120°/180°)*pi = (12/18)*pi = (1/3)*pi = pi/3.
Then the two values of x are: pi/6 and pi/3.
Answer:
x-intercepts: -5 +/-
. y-intercept: 4
Step-by-step explanation:
For x-intercepts use the quadratic equation
Fill in your values:
And solve
For y-intercepts set x=0 and solve. In this case, setting x= 0 gives you y=4.
Answer:
3
Step-by-step explanation:
All factorials 5 and above are evenly divisible by 15, so have no remainder. Thus, you are interested in ...
mod(1! +2! +3! +4!, 15) = mod(1 +2 +6 +24, 15)
= mod(33, 15) = 3
The remainder is 3.
740 + 850 x 100=? And there!!
51.5 Hectograms + 5100 Grams
51,500 Decigrams = 5100 Grams
They have same mass because they equal each other.
