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Suppose that you have 1800m of fencing with which to build three adjacent rectangular corrals. Find the dimensions so that the total enclosed area is as large as possible.
Use mathematical induction to solve the equation.
A constant force F= -3i + 8j +10k moves an object along a straight line from point (-6, -5, -4) to point (-3, 1, -6). Find the work done if the distance is measured in meters and the magnitude of the force is measured in Newtons.
Provide an example of a matrix that can be solved using Gaussian elimination. Show specifically how row operations can be used to solve the matrix.
Let n >= 0 be an integer, and for each 0 R be the function P(x) := the sum from i=0 to n of c_i x^i such a function is known as a polynomial of one variable
The solution to Queuing Analysis. The Bay City Police Department has eight patrol cars that are on constant call 24 hours a day. A patrol car requires repairs every 20 days, on average, according to an exponential distribution
A liquid flows with a velocity of 3.28 feet per second through a pipe of cross-section area 250 cm2 and is collected in a tank. The density of the liquid is 1200 kg/m3. Calculate the mass in kilograms of the liquid collected in the tank in one min..
A hat contains n coins, f of which are fair and b of which are biased to land on heads with a probability of 2/3. A coin is drawn from the hat and tossed twice.
Give a counter example and then prove why, i.e., a metric space and a sequence, that disproves the claim: Every Cauchy sequence converges.
Create a system of linear equations from my own life. Keep in mind that a system of linear equations will consist of two equations using the same variables and the variables will represent the same thing for both equations
How long does it take Fred to complete 20% of his caches? This time is the Easting of the co-ordinates of the cache in minutes.
a train travels 190km in the same time a plane travels 665km.if the speed of the plane is 40km per hour less than 4 times the speed of the train, what are both speeds?
The height of a ball (in feet) t seconds after it is thrown straight upward is determined by h(t)=16t^2+48t+7. How long did it take the ball to hit the ground?
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