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Question: A stone is thrown straight up from the roof of an 80-ft building. The height (in feet) of the stone at any time t (in seconds), measured from the ground, is given by
h(t) = -16t2 + 64t + 80
What is the maximum height the stone reaches?
A bomber flying at a height of 30,000 ft and 540 mph spots its target at an angle of depression of 10 degrees. At what angle of depression should the bomber release its bomb in order to hit the target?
What are the connected components of a graph?
A stone is thrown into a lake, and t seconds after the splash the diameter of the circle of ripples is t meters. Express the circumference C of this circle as a function of t.
The supply curve for Florida is P = (1/3)Q. The supply curve for Oregon is P = 3 + (1/3)Q. What values of P and Q solve both these equations?
Traditions Clothing Store is having a sale. Shirts that were regularly priced at $20 are on sale for $17- What is the percentage of decrease in the price of the shirts?
Solve the initial value problem: dy/dx + (2xy2)=0 y(2)=1/5
What is the probability that an arriving plane will find at least one other plane waiting to land? Calculate the average time it takes a plane to land and clear the runway once it has notified the airport that it is in the vicinity and wants to lan..
Determine how many cases of beer should be in each shipment if the ordering and storage costs are to be kept at a minimum. (Assume that each shipment of beer arrives just as the previous one has been sold.)
Which of the following would not be a continuous random variable?
Verify that the curve described by the vector valued function r(t) = {sin2 t, sin t cos t, cos t} lies on the sphere described by the equation x2 + y2 + z2 = 1
There are infinitely many stations on a train route. Suppose that the train stops at the first station and suppose that if the train stops at a station, then it stops at the next station. Show that the train stops at all stations.
Consider the three-player coalitional game with the coalitional function:- Compute θ((1, 1, 3)), θ((1, 3, 1)) and θ((3, 1, 1)).- Arrange the three vectors in decreasing lexicographic order.
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