F(x) = x - 2sinx
To find for what values of x graph has tangents we need to differentiate function f(x).
f'(x) = 1-2cosx
Now, if we want to have horizontal tangents we need to make function f'(x) equal to 0 because at minimum or maximum of function f(x) tangent is horizontal.
1-2cosx = 0
cosx = 1/2
x = pi/3 + 2*n*pi and
x = -pi/3 + 2*n*pi
Explanation: cosx = 1/2 for both 60° and -60°. If we make one circle cosx will be equal to 1/2 for 420 and 300 degrees. Writing degrees in radians (using pi) we can write formulas above where 2*pi represents one full circle and n is an integer which represents how many circles we made.
Answer:
Barbarian is the first.
Thatched is second.
Vassal is third.
Granary is fourth.
Step-by-step explanation:
Answer:
8 miles per hour (mph)
Step-by-step explanation:
24/3 = 8
Check:
8mph x 3 hours = 24 miles
<h2>Equations of Circles</h2>
Generally, you'd see the equation of a circle organized in the following format:
is the center
is the radius
To determine the equation given the center and the radius:
- Plug both pieces of information into the general equation
- Simplify
<h2>Solving the Question</h2>
We're given:
- Radius: 99
- Center: (-1,-8)
Plug the radius and center into the equation as r and (h,k):
<h2>Answer</h2>
