Answer:
The magnitude of the given vector is 40.72 units.
Step-by-step explanation:
The given vector is 
We know that for any vector 'r' 
the magnitude is given by
Comparing with the given vector we have
x = -3
y = 40
z = 7
Thus the magnitude equals
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.
2 because it is when you round 3/4 to 1 and 18/19 to 1. you then add 1+1 equals 2 . so my answer is correct.
8. 70.5* 10. 30* 12. 5.1*
Answer:
21 r16
Step-by-step explanation:
