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invent and prove a formula for the integral:integral (from t_o to t) of e^(tau*A)d*tauof the matrix valued function e^(tau*A), where A is a constant n x n matrix.What restriction does A have to satisfy?
Test your formula by evaluating both sides in the case A = [0, 1; -1, 0], (i.e. row1 = 0 1, row2 = -1 0)
The height , y meters, of an emergency flare fired upward from a small boat can by modelled by the function y= -5(x-4)squared+80, where x seconds is the time since flare was fired.
Zoe purchased a house in 1999 for $192,000. In 2006 she sold the house and made a net profit of $50,000. Find the effective annual rate of return on her investment over the 7-yr period. (Round your answer to the nearest hundredth of a percentage p..
Determine the expected value of X
The prong of a tuning fork moves back and forth when it is set into vibration. The distance the prong moves between its extreme positions is 2.22 mm.
State whether it is inconsistent or has infinitely many solutions. If the system has infinitely many solutions, write the solution set with y arbitrary.
Determine the number of triangles ABC possible with the given parts.
On a recent English test, students were given the names of four authors and four novels (one author one title), and asked to match each novel, with the correct author. If a student just guesses randomly, what is the probability of getting zero, on..
It takes a force of 21,714 lb to compress a coil spring assembly on a New York City Transit Authority subway car from its free height of 8in. to its fully compressed height of in.
Compare cost per square inch of pizza for each pan size offered by a restaurant.
A bacteria population starts with 400 and grows at a rate of r(t)=(450.268)e^(1.12567t)bacteria per hour. How many bacteria will there be after 3 hours ?
Assuming both retire at 70, and that the interest rate both get on their investments is 10% (compounded annually) who has the most money in their account at age 70? Explain why you pick the answer you pick.
Find the probability that in the next 2 days the operator will receive a total of 3 calls in that time interval. Mathematics Poisson Distribution Probability
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