Answer:
The solution to the differential equation
y' = 1 + y²
is
y = tan x
Step-by-step explanation:
Given the differential equation
y' = 1 + y²
This can be written as
dy/dx = 1 + y²
Separate the variables
dy/(1 + y²) = dx
Integrate both sides
tan^(-1)y = x + c
y = tan(x+c)
Using the initial condition
y(0) = 0
0 = tan(0 + c)
tan c = 0
c = tan^(-1) 0 = 0
y = tan x
Answer:
-6.4
Step-by-step explanation:
it's the answer trust me
Answer:
field goal points: 213
extra points: 125
Step-by-step explanation:
Given that a field goal is worth 3 points, then the total points made by field goals are: number of field goals * 3. In the case of Adam, that is: 71*3 = 213 points.
An extra point is worth 1 point, then 125 extra points are equivalent to 125 points.
