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If water is drained from a vertical cylindrical tank by opening a valve at the base, thewater will flow fast when the tank is full and slow down as it continues to drain. As itturns out, the rate at which the water level drops is: ????????=-??v?? where ?? is a constantdepending on the shape of the hole, the cross-sectional area of the tank and drain hole.The depth of the water ?? is measured in meters and the time ?? in minutes. If ??=0.5,determine how long it takes the tank to drain if the fluid level is initially 3 m. Solve theproblem by applying classical fourth-order Runge-Kutta method. Use a step size of 0.5minutes.Given the true value is ??=2v3 ??, calculate the relative error of the answer obtained fromyour calculation.
A package of frozen strawberries has been taken from the freezer which is at -25 oFahrenheit. Give a formula that gives the temperature of the berries in terms of time. When will the berries reach 32 degrees?
find the density of given expression using theorem.let x is the uniform on 0 1. and let y radic xnbsp. find ey by a
Two carts A and B are connected by a rope 39 feet long that passes over pulley P. The point Q is on the floor directly beneath P and between the carts. Cart A is being pulled away from Q at a speed of 2 ft/sec.
The company has 340 hours of labor available each week and can afford to buy $2250 worth of materials. How many recliners and how many sofas can be produced if all labor hours and all materials are used?
Find a linear equation given the total cost of C, of producing X units given that 200 graphing calculators cost $1050 to produce and 525 calculators cost $2350 to produce.
A rectangular plot of farmland will be bounded on one side by a river and on the other three sides by a sinle-strand electric fence. With 1000 meters of wire at your disposal,
Maris Corporation acquired a patent on May 1, 2008. Maris paid cash of $25,000 to the seller. Legal fees of $1,000 were paid related to the acquisition. What amount should be debited to the patent account?
Important information about Probability and Statisics. Find the probability that a randomly selected adult has an IQ between 90 and 110
In a marketing survey, consumers are asked to give their first three choices, of 9 different drinks. In how many different ways can they indicate their choices? Probability Statistics Combination Application Word Problem
An investor bought 150 shares of High Flying Airlines. She paid $60 per share for 50 shares, $50 per share for 60 shares, $75 per share for 40 shares. What was her average price per share?
Prove directly that the eigenvalues of A are purely imaginary. Prove that if x and y are eigenvalues associated to distinct eigenvalues, then they are orthogonal, i.e. x^H*y = 0
phenylthiocarbamide or ptc is a molecule that tastes very bitter to those who can taste it. however about 30 of people
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