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The volume of two tanks are V1 =100 gallons and V2 = 200 gallons .The inflow and outflow rates of the system are r = 10 gallons per minute. Suppose that the two tanks both contain fresh water initially, but the inflow to tank 1 is brine at 2 pounds per minute, so that 2 pounds of salt flow into tank 1 each minute. Write a matrix system of equations for the amounts and of salt in the two tanks after t minutes. Solve the system using matrix methods. Calculate how long it takes for tank 2 to have a salt concentration of 1 pound per gallon.
Please remember to calculate the eigenvalue using det |A-lambda*I|
In your own words, define the word "function." Explain why your example models a function. This is extremely important for your learning.
Determine the elements of finite order in G_1 x G_2. Show that the free group on a set X has no elements of finite order ( other than the identity).
The probability of getting a straight in five card draw is 0.003925. The odds in favor of getting a flush are 1:508.What are the odds of getting a straight? What is the probability of getting a flush? Five women are playing poker. After being dealt f..
The process is shown for how to assign values to each element in the quadratic equation. Finally, the solution for the x values are produced. The steps and descriptions given in this solution can be used to solve thousands of other equations using..
Solving the linear equation.
The top of a tower is a sphere with a diameter of 40ft. A layer of paint 0.08 inches thick is applied to the sphere. Approximate the volume of the paint that is used.
Write the equation of the line with given slope and y-intercept. Then graph each line using the slope and y-intercept.
write the polynomial in standard form identify the degree of the polynomial identify the leading coeffcient and then
how many ounces of a 13 alcohol solution and a 28 alcohol solution must be combined to obtain 45 ounces of a 21
Find the solution for x
Write down quadratic equation in variable x having the given numbers as solutions. Type the equation in standard form, ax^2+bx+c=0
Apply properties of logarithms to increase logarithmic expression.
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