Answer: Option (1)
Step-by-step explanation:
The domain and range of all linear functions is the set of real numbers.
Answer:
Step-by-step explanation:
step 1
Find the measure of side c
Applying the law of cosines
substitute the given values
step 2
Find the measure of angle A
Applying the law of sine
substitute the given values
step 3
Find the measure of angle B
we know that
The sum of the internal angles of a triangle must be equal to 180 degrees
so
substitute the given values
Answer. Option B. 0.8 cents.
Solution:
With a 5-pound box of detergent will wash 20 loads of laundry, then with a 15-pound box (5*3) of detergent will wash 20*3=60 loads of laundry, and you would pay $10.00.
To wash 60 loads of laundry with 5-pound box, you would need three 5-pound box, and you would pay $3.50*3=$10.50.
Then you would save in total $10.50-$10.00=$0.50
And per load, you would save: $0.50/60=$0.008=0.008*100 cents=0.8 cents
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.
