Answer: It would be 8+4z because you can't add a variable.
We have to find the area first
12 x 18=216 square feet
we do 216* $ 1.39= $ 300.24
Step-by-step explanation:
y = 2/5 x - 9/5
when x = -1,
the value of y = 2/5(-1) - 9/5
= -2/5 - 9/5 = -11/5
when x = 0
=> y = 2/5(0) -9/5
= 0-9/5 = -9/5
when x=1
=> y = 2/5(1) - 9/5
= 2/5 - 9/5 = 7/5
.75x+4=.75
hope this helps!
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.
