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Question: If water is drained from a vertical cylindrical tank by opening a valve at the base, the water will flow fast when the tank is full and slow down as it continues to drain. As it turns out, the rate at which the water drop is: where k is constant depending on the shape of the hole, the cross-sectional area of the tank and drain hole. The depth of the water y is measured in meters and the time t in minutes. If k= 0.5, determine how long it takes the tank to drain if the fluid level is initially 3 m. Solve the problem by applying classical fourth-order Runge-Kutta method. Used a step size 0.5 minutes.
how many seconds after the rock is thrown will it reach maximum height, and what is that height in meters? how many seconds after the rock is thrown will it reach the ground?
a manufacturer can produce cassette tape records at a cost of $40 a piece,its estimates that if the tape records are sold for p dollar a piece.consumer will buy 120-p of them a month , express the manufacturers monthly profit as a function of pric..
the area of a rectangle is 120 square inches determine the lenth and width of the rectangle if the length is 2 inches longer than 3 times the width.
Suppose a business purchases a new tractor at an original cost of $42,000. Further, suppose this tractor has a useful life of 8 years and a salvage value of $10,000.
True or False: Forecasting techniques such as moving-average, exponential smoothing, and the last-value method all represent averaged values of time-series data.
MTH 150 Assignment. What is an asymptote? A vertical asymptote occurs when the x-value of that vertical line is one that is excluded from the domain of a function. Find the Vertical Asymptote for f(x) = 2/(x+2) and then draw the basic graph
(a) Formulate this as a linear programming problem. (b) Solve the problem using the two-phase simplex algorithm.
The manufacturer can produce the lamps at a cost of $4 per lamp. At what price should the manufacturer sell the lamps to generate the greatest possible profit?
find critical points end points local extrema and global extrema.for the functionnbspnbsp fx fx x3-3x2nbspnbsp
This solution provides an analysis of how we evaluate personality theory over time, and how and why historical personality theories lend themselves to understanding people and events in modern times.
a piece of wire is 38 inches long. the wire is cut into two pieces; then each piece is bent to form a square. Find the length of each piece if three times the area of the larger square exceeds the area of the smaller square by 95.75 square inches.
a newspaper prints 8762 papers each with 16 pages. a roll of newprint can be used to print 6150 pages. about how many
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