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Prove Theorem 6:
a. Suppose p is a solution of Ax = b, so that Ap = b. Let vh be any solution of the homogeneous equation Ax = 0, and let w = p C vh. Show that w is a solution of Ax = b.
b. Let w be any solution of Ax = b, and define vh = w - p. Show that vh is a solution of Ax = 0. This shows that every solution of Ax = b has the form w = p + vh, with p a particular solution of Ax = b and vh a solution of Ax = 0.
Show the similarities between dividing two fractions and dividing two rational expressions using examples of each; Explain your steps.
discover that a certain prescription drug has an average price of $40 for $20 pills with a standard deviation of $5. Using this information, deduce with 95% accuracy where the national average cost of 20 pills lies
a customer must enter his or her four-digit Personal Identification Number (PIN). How many different PINs are possible?
Find the vector equation of the line through the origin and perpendicular to the line given by r(t) = . (Recall: Two lines are perpendicular if they intersect at a right angle.)
Estimate the slope of the curve y = f(t) at t = 0 .2 . In principle, what is the relationship between this slope and the instantaneous speed?
Qualification of in-house DO-254 compliant digital speedometer?
define an equation to represent the baker's income based on the number of loaves and muffins he makes. How many of each should he make for maximum income?
Compare the sum of the mixed numbers to the sum of the decimals
An express and local train leave GraysLake at 3 P.M. and hear for Chicago 60 miles away. The express travels twice as fast as the local and arrives 10 hour ahead of the local. Find the speed of each train?
You wish to deposit $500 per month into an account for 36 months. Assume your interest rate is equal to the prime interest rate.
Compute the general solutions of the following ordinary differential equation
A man 6 ft tall walks at a rate of 5 ft/s away from a lamppost that is 23 ft high. At what rate is the length of his shadow changing when he is 60 ft away from the lamppost?
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