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Differential equation-varitation of parameters.
find the general solution of the given differential equation:
y''+4y'+4y=t^(-2)e^(-2t)
Write the matrix of T in the standard basis of C^3. Find all eigenvalues of T. Is there a basis of C^3 such that the matrix of T in that basis is diagonal? If your answer is "NO", explain why.
Explain in simple terms how solving linear equations is similar and different than solving linear inequalities. Cite and explain three examples.
Show that for n less than or equal to 4, any Latin square of order n can be obtained from the multiplication table of a group by permuting rows, columns, and symbols.
Important information about Translation, Let a be a fixed vector in R2. A mapping of the form
Test the instructor's claim at a five percent level of significance. Write your conclusion?
Quantitative Methods- Probabilities Problem. A country road averages 6 potholes per mile. A road crew is sent out to repair the road. Find the following probabilities. Use the appropriate table or software if you want.
Define f(x) = x if x is rational and f(x)=0 if x is irrational. Compute the integration 1top0bottom f dx and integration 1top0bottom f dx. is f integrable on [0,1]?
Use the left-to-right elimination method to solve the system.
Population growth rate
Determine if the following chemical equation is a kinetically paced reaction: 4NO + 4NH3 + O2 = N2 + 6H2O In other words, is there a kinetic rate equation that can be presented simply that defines the pace of the above reaction
Find an equation of the plane that passes through the line of intersection of the planes x + y - z = 2 and 2x - y + 3z = 1 and passes through the point (-1,2,1).
In your own words, explain what the nth root of a number represents. What happens when this value is raised to the nth power? Give an example.
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