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A spherical vessel used for deep-sea exploration has a radius of 1.50 m and a mass of 1.20 × 104 kg. To dive, the vessel takes on mass in the form of seawater. Determine the mass the vessel must take on if it is to descend at a constant speed of 1.20 m/s, when the resistive force on it is 1100 N in the upward direction. The density of seawater is equal to 1.03 × 103 kg/m3.
A colony of bacteria is grown under ideal conditions in a laboratory so that the population increases exponentially with time. At the end of 3 hours there are 7000 bacteria. At the end of 5 hours there are 28000 bacteria. How many bacteria were pr..
many solutions are there in nonnegative integers to the equation x1 +x2 + · · · + xm = r, where m and r are constants?
Formulate a linear programming model for the problem.
The pipeline will be built in a straight line from the rig to a selected point on the shoreline, then in a straight line to the storage tank. What point on the shoreline should be selected to minimize the total cost of the pipeline?
How large rebate should the company offer to a buyer, in order to maximize its revenue? dollars
there is a liquid motion due to a doublet of strength μ at the point (0,3α) with its axis along the Y axis.find the velocity potential
A plane flying horizontally at an altitude of 7 mi and a speed of 500 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 10 mi away from the station. (Round to the ..
critical thinking paper revisednbspwrite a four to six 4-6 page 1000-1200 word paper that presents a reasoned
what is the area of each triangle to the nearest tenth. In triangle ABC, a=326, c=157,M
The demand for a certain product is 2x + 5p = 60, where p is the unit price and x is the quantity demanded of the product. Find the elasticity of demand when p = 6.
There are three methods to solving Linear Systems with two Equations. They are the Graph method, the Elimination method, and the Substitution method.
Find parametric equations for the line of intersection of the planes.
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