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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.
Calculate monthly deposits necessary to accumulate $13,800 after 5 years in account earning 6.75% compounded monthly?
Find the domain and range of these functions
f(z) is defined by the equations: f(z)=1 when y 0, and C is the arc from z=-1-i to z=1+i along the curve y = x^3. The answer is given as 2+3i.
To pour a concrete sidewalk takes 2 hours of preparation nd 3 hours of finishing. To pour a concrete patio takes 4 hours of preparation and 3 hours of finishing. ABC Concrete Company makes a profit of $450 on a sidewalks and $700 on a patio.
Determine a polynomial function f(x) that has α as its true root - find the iteration formula for the Secant method.
If interest is compounded annually, it grows as follows. Suppose P0 is the initial amount and INT is the interest rate per year. If P1 and P2 represent the balance at the end of the first and second year
At what time is the growth rate of 20 new bacteria per minute and how many bacteria are there at this time in the bacterial culture?
Using the method of separation of variables, solve the partial differential equation u subscript(tt)+2(pi)u subscript(t)-u subscript(xx)=-3sin(3(pi)x) for 0 less than or equal to x less than or equal to 1 with boundary conditions
A cube is increasing in volume at a rate of 10cm3/sec. Find the rate of change of the surface area of the cube when one edge has length 2cm.
Find the largest possible product of such numbers.
The tangent line to the graph of g(x)=2x^3-7x at (1,-5) intersects the curve at another point. Find the coordinates of the other point. Round all non-terminating decimals in the calculation to seven significant digits. Round your final answer to t..
Determine whether the indicated products are competitive-complementary and derive marginal productivity of capital.
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