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: c
Step-by-step explanation:
Average speed would be 7 over 20 why it is because I turned both of the fractions into decimals and then I got 1.75 over 0.5 u would divide and it would give you 3.5 then I turned it back to a fraction multiplying it by a 100 gives us 35 over 100 then you simplify it by dividing both denominator and numerator by 5 would give you 7 over 20
Using the place value chart, we can see that the decimal 0.8 is eight-tenths, so we can write 0.8 as the fraction
We are able to simplify so we will divide the numerator and the denominator by 4.
Image is provided.
Therefore, the decimal 0.8 can be written as
.
Answer:
Step-by-step explanation:
4x + 3y = 9
Slope of line = -4/3
Slope of perpendicular to line = ¾
Equation of perpendicular:
y-3 = ¾(x+2)