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For a given velocity of projection from a point on the inclined plane, the maximum range down the plane is three times the maximum range up the incline. Then, find the angle of inclination of the inclined plane.
We would like to build such a network in order to minimize the total building and transportation costs, so that all demand is met. Formulate the problem as an integer programming problem.
Ten bolts were selected randomly from a production line and the diameter of each was measured. Why do these diameters not have a binomial distribution?
A conical water tank with vertex down has a radius of 10 feet at the top and is 29 feet high. If water flows into the tank at a rate of 20 {rm ft}^3{rm /min}, how fast is the depth of the water increasing when the water is 13 feet deep?
Develop a point estimate of the mean value of y when x1 = 180 and x2 = 310 (to 3 decimals).
A particle is moving along the curve y = 5 √{5 x + 11}. As the particle passes through the point (5, 30), its x-coordinate increases at a rate of 2 units per second. Find the rate of change of the distance from the particle to the origin at this i..
The light pole below casts a shadow that is 12ft long and at the same time a yardstick casts a shadow that is 1.5 feet long. How tall is the light pole?
a certain researcher thinks that the proportion of women who say that female bosses are harshly critical is greater
one of the major measures of the quality of service provided by any organization is the speed with which t responds to
The family cat is also walking in the backyard. The line segment between the cat and the two trees are always perpindicular. Find the equation of the locus of the cat.
Let S be the circle in the plane {(x,y) in R^2: x^2 + y^2 = 1} and f: S --> R be a continuous map. Show that there exists (x,y) on S such that f(x,y) = f(-x,-y).
Let H be a random variable with probability p1 that has a Geometric distribution G1 Let Y be a random variable with probability p2 that has a Geometric distribution G2
Find a linear model for the cost, C , of waste collection as a function of the number of kilograms, w .
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