It looks like this is a system of linear ODEs given in matrix form,
with initial condition x(0) = (-6, 8)ᵀ.
Compute the eigenvalues and -vectors of the coefficient matrix:
Let v be the eigenvector corresponding to λ = 9 + 2i. Then
or equivalently,
Let ; then , so that
and we get the other eigenvalue/-vector pair by taking the complex conjugate,
Then the characteristic solution to the system is
From the given condition, we have
and so the particular solution to the IVP is
which you could go on to rewrite using Euler's formula,
Answer: 80 quarters
55 nickels
Explanation:
Equation 1
q + n = 135
q = 135 - n
Also we know the dollar values: 0.25q + 0.05n = 22.75 ,call this equation 2
Substituting in equation 2, we get
0.25 (135-n) + 0.05n = 22.75
33.75 - 0.25n + 0 05n = 22.75
-0.25n + 0.05n = 22.75 - 33.75
-0.20n = -11
n = 11/0.20 = 55 = nickels
If q + n = 135
q = 135 - 55 = 80 = quarters
The breakdown of Micheal Lee Case Study for Program Outcome Assessment is given below
<h3>What was Micheal Lee Aim?</h3>
The aim of the study is to see the ways that different cultures value in terms of lying/morality and the understanding of these ideas.
<h3>What was Micheal Lee Sample?</h3>
He was known to have used 120 Chinese children and 108 Canadian children who were known to be between 7 and 11 years old.
In the study, Half of each cultural group were said to be assign either to a physical story group or a social story group.
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