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A beacon on a lighthouse 2000m away from the nearest point P on a straight shoreline revolves at the rate of 10 pi radians per minute. How fast is the beam of the light moving along the shoreline when it is 500m from P?
Why does the graph of the basic exponential function lie entirely above the x-axis?
Find the expected value (to you) of the game. If you play one game would you expect to win or lose the game? Explain.
What is the probability of drawing a red ball on the second draw if the first one is not put back in the box after it is drawn?
Evaluate an amount of gravel from the given ratio - How much gravel and sand should he add to make concrete?
A mini license plate for a toy car must consist of a letter followed by two numbers. Each letter must be a C, A or R. Each number must be a 3 or 7. Repetition of digits is permitted.
A ship embarked on a long voyage. At the start of the voyage, there were 500 ants in the cargo hold of the ship. One week into the voyage, there were 800 ants. Suppose the population of ants is an exponential function of time.
Find the equation of ellipse from the given data - Find the equation of the indicated curve, subject to the given conditions
Three-person Problem of Points
Suppose that N and M are two normal subgroups of G and that N intersection M = (e). Show that for any n belongs to N, m belongs to M, nm = mn.
How much variation does knowledge of Age Score account for in Competence Scores?
Show that if a convergent series of real numbers contains only a finite number of negative terms, then it is absolutely convergent.
If G acts on X, pi1(X) = {e}, and for all x elements of X there exists Ux neighborhood of X such that Ux intersection g(Ux) = empty set for all g elements of G{e}, then pi1(XG) is homeomorphic to G.
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