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water is leaking out of an inverted conical tank. the tank has a height of 6 meters and the diameter at the top is 4 meters. write the volume of the tank as a function of its height h of the water.
A plane flying horizontally at an altitude of 3 mi and a speed of 485 mi/h passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing when it is 5 mi away from the station. Please round yo..
Find positive numbers whose sum is 54 and whose product is as large as possible - Find the interior and boundary points only at which the absolute extrema of can occur - MTH301
Construct appropriate probabilistic models - appropriate probabilistic model and find the probability of getting doubles.
Maximizing the Sustainable Yield, A lake has a carrying capacity of 10,000 fish. At the current level of fishing, 2000 fish per year are taken and the fish population seems to hold fairly steady at about 4000.
Let A be an n × n matrix with eigen values 1, 2, · · · , n. Prove there are (2 n )n! Different matrix S with the property that the length of each column vector of S is 2 such that (S -1 )AS is diagonal.
How many floorboards 2 1/4 inches wide are needed to cover a floor32 15 feet wide?
Suppose that a telemarketer uses random-digit dialing equipment to call three residential telephone numbers at random. There is a 20% chance of reaching a live person with each call, and the calls are independent. (i) What is the probability that ..
find the x intercept of the tangent line at x=-1
Acme can produce DVD players at a cost of $140 each and market analysis estimates that if the players are sold at x dollars apiece, consumers in a region will buy approximately 2000e^-0.01x machines per week.
If the eggs are removed four, five and six at a time, then three, four, and five eggs will remain respectively. If they are taken out seven at a time, no eggs will be left over. Find the lease number of eggs that could be in the basket.
Billy likes to go cycling.His bike has wheels of diameter 75cm. He has invented a counter for his bike, which counts the number of revolutions the wheels make. One day the counter shows 150 revolutions.How far has Billy cycled?
Explain the theory developed including capacitated s,t graphs and the lexicographic ordering rule based on the case study and suggested readings.
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