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A car leaves Lima at noon traveling due West at 65 mph. At 2 PM, a car 300 miles south of Lima heads towards Lima at 70 mph. How quickly is the distance between the cars changing at 4 PM?
Determine algebraically whether the given function is even, odd, or neither.
Let A be a real n x n matrix. Show that a linear subspace E of R^n is A-invariant if and only if E is e^{tA} -invariant for all t in R, where e^{tA} is the exponential matrix associated to A.
Let R be a PID. Consider the Diophantine equation ax+by=N where a,b and N are integers and a,b are nonzero. Suppose x_0, y_0 is a solution: ax_0+by_0=N.
A basket contains 4 black, 2 blue, and 5 green balls. A sample of 3 balls is drawn. Find the probabilities that the sample contains the following.
Calculation of a Laplace Transform from first principles
Convert the nonlinear, second order differential equation to the first order system and solve the differential equation
Kellam Images prints snack food bags on long rolls of plastic film. The plant operates 250 days a year. The daily production rate is 6000 bags, and the daily demand is 3500 bags. The cost to set up the design for printing is $300. The holding cost..
Calculate the ambiguity function of a signal with an envelope u(t) = Bexp(-t^2)T^2). What should be the value of B that will make the signal of the unit energy?
An estimated 8% of men and O.5% of women are colorblind. If a colorblind person is selected at random, what is the probability that the person is a man?
A discrete dynamical system model for the population of cheetahs and gazelles in Namibia is given by the following pair of equations:
Explain why an Abelianization fo G is unique up to isomorphism. Construct an Abelianization of G as follows: Let G' be the subgroup fo G generated by all commutators [x,y] = xyz^-1 y^-1, where x, y are real members of G.
How do you solve for the conditional probability of a false positive for a cancer test?, An experimental test to detect a particular type of cancer indicates the presence of cancer in 90% of individuals known to have this type of cancer, and in 15..
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