Answer:
y = In | cos(2x + c ) | + c
Step-by-step explanation:
y" + (y')^2 + 4 = 0
substituting u = y'
u' + u^2 + 4 = 0
hence : u' = - (u^2 + 4 )
= 1 ------- (1)
integrating both sides of the equation 1
x + c =
hence u = -2 tan(2x + c )
remember u = y'
y' = -2 tan(2x + c) ------ (2)
integrating both sides of the equation 2
y = ∫ ![\frac{-sin u}{cos u } du](https://tex.z-dn.net/?f=%5Cfrac%7B-sin%20u%7D%7Bcos%20u%20%7D%20du)
therefore Y = In | cosu | + c
y = In | cos(2x + c ) | + c
Answer:
Step-by-step explanation:
The coordinates are (-4,0),(0,-1)
Answer: -7, -0.75, -5, 0.5, 0.75, 9, 13
Step-by-step explanation:
Because negative numbers are always less
4420 people in 1993
5600 people in 1998
(5600 - 4420) = 1180....so they gained 1180 people in 5 years (from 1993 to 1998)
1180/5 = 236.....thats 236 people per year.
So in 2000.....which is 2 years from 1998, at 236 per yr =
5600 + 2(236) = 5600 + 472 = 6072 (population in 2000)