Answer:
adsefrthgfdsfgd
Step-by-step explanation:
Answer:
Step-by-step explanation:
Circumference = πd = 12
d = 12/π cm
Answer:
y+3 = 2(x-4)
Step-by-step explanation:
If we have a slope and a point, we can use the point slope form for an equation of a line
y -y1= m(x-x1)
where m is the slope and (x1,y1) is the point
y--3 = 2(x-4)
y+3 = 2(x-4)
Answer:
f(x) = 8x⁴-8x²+1
Step-by-step explanation:
I will assume that f(cos θ) = cos(4θ). Otherwise, f would not be a polynomial. lets divide cos(4θ) in an expression depending on cos(θ). We use this properties
- cos(2a) = cos²(a) - sin²(b)
- sin(2a) = 2sin(a)cos(a)
- sin²(a) = 1-cos²(a)
cos(4θ) = cos(2 * (2θ) ) = cos²(2θ) - sin²(2θ) = [ cos²(θ)-sin²(θ) ]² - [2cos(θ)sin(θ)]² = [cos²(θ) - ( 1 - cos²(θ) ) ]² - 4cos²(θ)sin²(θ) = [2cos²(θ)-1]² - 4cos²(θ) (1 - cos²(θ) ) = 4 cos⁴(θ) - 4 cos²(θ) + 1 - 4 cos²(θ) + 4 cos⁴(θ) = 8cos⁴(θ) - 8 cos²(θ) + 1
Thus f(cos(θ)) = 8 cos⁴(θ) - 8 cos²(θ) + 1, and, as a result
f(x) = 8x⁴-8x²+1.
Answer:
603
Step-by-step explanation:
The rate of change is found by
rate of change = f(b) -f(a)
------------
b-a
We need to find the rate of change for the interval 7,9 and 4,6
We know b= 9 and a = 7
f(9) -f(7)
------------
9-7
3878-1852
----------------
9-7
2026
-------
2
1013
We know b= 6 and a = 4
f(6) -f(4)
------------
6-4
1178-358
---------------
6-4
820
------
2
410
It asks how much greater, that means subtraction
1013-410
603
