Answer:
Step-by-step explanation:
Given
Required
Determine the percentage change
Percentage change is calculated as;
<em>Hence, the percentage change is approximately 8.8%</em>
Answer:(2/3) + (9/10) = 47/30
= 1 17/30
Step-by-step explanation:
Answer: 180cm
Explanation:
The area of a triangle is 1/2(b)(h).
The height of the triangles is 12cm and the base is 6cm.
1/2(6)(12) = 36cm
Multiply by 4 = 144
For square: 6 • 6 = 36cm
144cm + 36cm = 180cm
Answer:
Step-by-step explanation:
6.0 , 6.0 , 6.1 , 6.2 , 6.3 , 6.15 , 6.23
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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.
