Answer:
Step-by-step explanation:
The given equation 5y'' + 3y' - 2y =0 can be written as
Solving for complementary function we have Roots of as follows
Thus the complementary function becomes
y=
where
are calculated roots
thus solution becomes
Now to solve for the coefficients we use the given boundary conditions
hence the solution becomes
Answer:
3 boxes of small porridge
Step-by-step explanation:
625g x 5 = 3125
4125-3125=1000
1000 divided by 350 = 2.8
so there will be 2 full boxes of small porridge and 1 not full box of porridge.
Answer:
-7
Step-by-step explanation:
4 + (−3 − 8)
PEMDAS
Parentheses first
4 + (-11)
Add and subtract next
-7
Given:
The graph of a parabola.
To find:
The domain, range and check whether it is a function or not.
Solution:
Domain: The set of x-values or input values is known as domain.
Range: The set of y-values or output values is known as range.
A relation is a function if their exist unique outputs for each input. In other words a graph is a relation if it pass the vertical line test.
Vertical line test: Each vertical line intersect the graph at most once.
The given function is defined for all real values of x which are greater than or equal to -3. So, the domain of the given graph is:
The given function values can be any real number. So, the range of the given graph is:
For x=0, we have two values of the function because the graph intercept the y-axis at two points.
Since the graph does not pass the vertical line test therefore the given graph is not a function.
We are asked in this problem to determine the simplified expression of the statement given. The rules that apply in exponential functions is that when an exponential term is raised to the power of an integer, the simplified term has a degree that is equal to the product of the integers involved. The operations involved should be applicable to terms with the same base number only. In this problem, we thus write:
2^3/4 / 2^1/2 = 2^3/4 * 2^-1/2 = = 2^(3/4 - 1/2) = 2^ 1/4. hence the answer is 2^0.25 or simply equal to 1.1892 determined using a calculator.