Answer:
3600
Step-by-step explanation:
4.8x10^3-1200=3600
Answer: C. x-2
Step-by-step explanation:
We have the following expression:
Factoring in the numerator:
Factoring again in the numerator with common factor 
:
Simplifying:
Hence, the correct option is C. x-2
Answer:
y = 2cos5x-9/5sin5x
Step-by-step explanation:
Given the solution to the differential equation y'' + 25y = 0 to be
y = c1 cos(5x) + c2 sin(5x). In order to find the solution to the differential equation given the boundary conditions y(0) = 1, y'(π) = 9, we need to first get the constant c1 and c2 and substitute the values back into the original solution.
According to the boundary condition y(0) = 2, it means when x = 0, y = 2
On substituting;
2 = c1cos(5(0)) + c2sin(5(0))
2 = c1cos0+c2sin0
2 = c1 + 0
c1 = 2
Substituting the other boundary condition y'(π) = 9, to do that we need to first get the first differential of y(x) i.e y'(x). Given
y(x) = c1cos5x + c2sin5x
y'(x) = -5c1sin5x + 5c2cos5x
If y'(π) = 9, this means when x = π, y'(x) = 9
On substituting;
9 = -5c1sin5π + 5c2cos5π
9 = -5c1(0) + 5c2(-1)
9 = 0-5c2
-5c2 = 9
c2 = -9/5
Substituting c1 = 2 and c2 = -9/5 into the solution to the general differential equation
y = c1 cos(5x) + c2 sin(5x) will give
y = 2cos5x-9/5sin5x
The final expression gives the required solution to the differential equation.
The difference of five and negative 7.
<span><span>
1.
</span>Which becomes 5 – (-1) = 6. Such that 5 + 1 = 6.</span>
The total number of fruits available.
Three hundred apples
minus thirty oranges.
<span><span>1.
</span>300 – 30 = 270 fruits</span>
The room temperature of thirty degrees Celsius has risen to
fourty-five degrees Celsius. What is the difference of the final and initial temperatures?
<span><span>
1.
</span>45 – 30 = 15</span>
When the ball rose with an acceleration of 2 m/s2 what is
the difference between the ball’s acceleration and the gravitational force that
acted on it?
<span><span>
1.
</span>-10 - 2 = -12 </span>
