Answer:
Iliana cannot construct a triangle because the sum of the two smaller sides will not be greater than the third side. Iliana cannot construct a triangle because the sum of the two smaller sides will be greater than the third side.
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.
Answer:
m=5
Step-by-step explanation:
Let the number be represented by m.
Then twice the number m is represented as 2* m or 2m.
3 less than twice the number m = 2m -3
As per the question this value is 7.
Representing this in equation format:
=> 2m-3 = 7
=> 2m = 7+3 = 10
=> m= 10/2 = 5
Hence the number m is given by 5.
Verification:
Twice the number = 2* 5 = 10
3 less than twice the number m = 10 -3 = 7
This is the same as 7 as per the requirement.
Slope if distance time graph represent velocity or speed.
Yes, it can be parallel to time axis if the object is at rest position
The formula for volume of a box is V= lwh
plug in what you already know.. 576= 12 x 8 x h
576= 96 x h
576/96= 6
To check this answer you could plug 6 in
12 x 8 x 6 which would equal 576
