Part (b)
We use the result of part (a) and plug in (x,y) = (0,0). This is directly from the initial condition y(0) = 0.

-----------------
This means,

is the solution with the initial condition y(0) = 0.
1/2 of 14 is 7. multiply 14/1 to 1/2.
Answer:

Step-by-step explanation:
We are given that a differential equation

We have to find the general solution of given differential equation


Compare with

We get


I.F=





The linear equation representing the above said pair of points is "y=12x+9"
Step-by-step explanation:
The given set of points are
x Y
1 21
2 33
3 45
4 57
For finding the linear equation for the given sets of value
We must know the generic form of a linear equation is y=m*x + c
m= slope of the line where y= Δy/Δx
Δy= change in y value
Δx= change in x value
Thus slope ”m” = 33-21/2-1 = 12
we put slope “m” in the equation which becomes y=12x+c
Now we put any of the set value in the equation
33= 12*2+c ∴ c=9
Hence required linear equation is y=12x+9
Answer:
The area of the circle is 50.24 mm
²
Step-by-step explanation:
To solve this exercise we need to use the area formula of a circle:
a = area
r = radius = 4mm
π = pi = 3.14
a = π * r²
a = 3.14 * (4mm
)²
a = 3.14 * 16mm
²
a = 50.24 mm
²
The area of the circle is 50.24 mm
²