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A hawk flying at 14m/s at an altitude of 193 m accidentally drops its prey. The parabolic trajectory of the falling prey is described by the equation
y=193 -frac{x^2}{42}
until it hits the ground, where y is its height above the ground and x is the horizontal distance traveled in meters. Calculate the distance traveled by the prey from the time it is dropped until the time it hits the ground.
If Tom Bombadil's house is 5 miles east of Hobbiton and 12 miles south, what is the straight line distance (omit units)?
Is the surface integral of a closed surface (for example the surface is the cylinder x^2+y^2=9 between the planes z=0 and z=2, together with the top and the bottom) supposed to be 0?
Simple Probability, Sample Spaces, Events, A couple has three children, assume the likelihood of a boy is the same as a girl:
A clock company is concerned about errors in assembly of their custom made clocks. A random sample of 120 clocks from today's production yields nine clocks with assembly errors.
Poker, in the deck 52 cards, hand of 5 cards, one of the winning hands is flush, all cards belong to a common suit. A) Calculate the number of possible combinations of poker hands B) Calculate a probabilty of flush
Given the table above, graph the function, identify the graph of the function (line, parabola, hyperbola, or exponential), explain your choice, and give the domain and range as shown in the graph, and also the domain and range of the entire functi..
how many samples of 3 apples can be drawn from the crate? how many samples of 3 could be drawn in which all 3 are rotten?
Probability Definition of Continuity. Suppose that f_x is the probability density function (PDF) of a continuous random variable X. Also suppose that f_x is continuous on (a, b)
A swimming pool is 12 meters long, 6 meters wide, 1 meter deep at the shallow end, and 3 meters deep at the deep end. Water is being pumped into the pool at 1/4 cubic meter per minute, and there is 1 meter of water at the deep end.
Prove that the projection onto the plane Y O Z of the intersection curve of an elliptical paraboloid x = y^2 + z^2 with a plane x - 2y + 4z = 0 is a circle of radius R = 3 centered at M (0, 1, -2).
The owner of the Rancho Grande has 2972 yd of fencing with which to enclose a rectangular piece of grazing land situated along the straight portion of a river. If fencing is not required along the river, what are the dimensions of the largest area..
Vital information about Quantitative analysis:Networks, PERT, critical path. A project was planned using PERT with three times estimates. The expected completion time of the project was determined to br 40 weeks
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