Sin³ x-sin x=cos ² x
we know that:
sin²x + cos²x=1 ⇒cos²x=1-sin²x
Therefore:
sin³x-sin x=1-sin²x
sin³x+sin²x-sin x-1=0
sin³x=z
z³+z²-z-1=0
we divide by Ruffini method:
1 1 -1 -1
1 1 2 1 z=1
-------------------------------------
1 2 1 0
-1 -1 -1 z=-1
--------------------------------------
1 1 0 z=-1
Therefore; the solutions are z=-1 and z=1
The solutions are:
if z=-1, then
sin x=-1 ⇒x= arcsin -1=π+2kπ (180º+360ºK) K∈Z
if z=1, then
sin x=1 ⇒ x=arcsin 1=π/2 + 2kπ (90º+360ºK) k∈Z
π/2 + 2kπ U π+2Kπ=π/2+kπ k∈Z ≈(90º+180ºK)
Answer: π/2 + Kπ or 90º+180ºK K∈Z
Z=...-3,-2,-1,0,1,2,3,4....
Answer:
50 days
Step-by-step explanation:
So she gets 5,000 for five days.
Let's count up from 5 thousand until 50 thousand.
5,000
10,000
15,000
20,000
25,000
30,000
35,000
40,000
45,000
50,000
This means 5,000x10=50,000
10x5=50
Answer:
K=144/18
8 kids
Step-by-step explanation:
Ⓗⓘ ⓣⓗⓔⓡⓔ
Well, the equation would be K=144/18
If you're also going to find the number of kids, you would get 144/18 which is 8 {including Jim}.
(っ◔◡◔)っ ♥ Hope this helped! Have a great day! :) ♥
Answer:
Step-by-step explanation:
-This is a linear relationship problem modeled as:
where:
is the quantity at variable x
is the slope
is the constant of increment or decrement.
is the variation variable.
Given the constant 40, and 12 pages per day as the rate of change we substitute our variables in the form of the formula above as:
