Answer:
O 14
Step-by-step explanation:
hope it is helpful :)
The slope of the line is the velocity, or rate of change, of y with respect to x. In other terms, the slope tells you how much y will change for every change in x by one unit. For example if the slope, which is velocity, is 2. y will increase by two units every time x increases by one unit. Your graph is not pictured nor explained, so I cannot give you the specific context beyond the principle that the slope of a line is a constant velocity or rate of change.
The question is:
Check whether the function:
y = [cos(2x)]/x
is a solution of
xy' + y = -2sin(2x)
with the initial condition y(π/4) = 0
Answer:
To check if the function y = [cos(2x)]/x is a solution of the differential equation xy' + y = -2sin(2x), we need to substitute the value of y and the value of the derivative of y on the left hand side of the differential equation and see if we obtain the right hand side of the equation.
Let us do that.
y = [cos(2x)]/x
y' = (-1/x²) [cos(2x)] - (2/x) [sin(2x)]
Now,
xy' + y = x{(-1/x²) [cos(2x)] - (2/x) [sin(2x)]} + ([cos(2x)]/x
= (-1/x)cos(2x) - 2sin(2x) + (1/x)cos(2x)
= -2sin(2x)
Which is the right hand side of the differential equation.
Hence, y is a solution to the differential equation.
D1=25°
B3=25°
B1=30°
Step-by-step explanation:
1. O1+O2=360°(revolution)
310°+O2=360°
O2=360°-310°
=50°
O2=2D1(centre theorem)
50°=2D1
D1=25°
2. D1=B3=25°(tan chord theorem)
3. B2+B3=A=60°(tan chord theorem)
B1+B2+B3=90°(Radius perpendicular Tangent)
B1+60°=90°
B1=90°-60°
=30°
Answer:
y
=
−
4
x
+
3
Step-by-step explanation:
