Measure of angle 2 would be 130 degrees because since it forms a linear pair the two angles added together have to equal 180 degrees so
180 - 50 = 130
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: c) 277,200
Step-by-step explanation:
The number of permutations can be formed of n things , where a things are like b things are like and so on :
The given word : ENGINEERING
Total letters = 11
Number of E's = 3
Number of N's = 3
Number of G's =2
Number of I's =2
The number of permutations can be formed from all the letters in the word "ENGINEERING" will be :
Hence, the number of permutations can be formed from all the letters in the word "ENGINEERING" = 277,200
∴ Correct answer is c) 277,200
Answer:
A. Zero
Step-by-step explanation:
This would have no solution because when you try to solve the equation and simplify, the 4x's cancel out, leaving no variable and making the equation reduce to: -8=9 which is false, and therefore, this has no solution.
I hope this helps!