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Suppose a large tank can hold up to 600 gal of liquid. Initially it has 300 gal of water with 20lb of salt. A solution with 1/2 lb of salt per gallon is pumped into the tank at a rate of 5 gal/min, the solution is well mixed and being pumped out at the rate of 3 gal/min.
Let A(t) be the actual amount of salt in the tank at time t (in minutes).
Set up the initial value problem for A(t) and then determine the concentration of salt in the tank when it's full.
Solve using Linear differential equations.
Identify the slope and y intercept of the equation.
Highway travel A state patrol station is located on a straight north- south freeway. A patrol car leaves the station at 9:00 A.M. heading north with position function s = f1t2 that gives its location in miles t hours after 9:00 A.M. (see figur..
find the average distance to the x-axis for points in the region bounded by the x-axis and the graph of y = x - x^2.
If f: X->Y is transversal to Z and dim X + dim Z = dim Y, then we can at least define I_2(f, Z) as #f^(-1)(Z) mod 2, as long as f^(-1)(Z) is finite. Let us explore how useful this definition is without the two assumptions made in the text: X compact ..
find any absolute or local maximum and minimum values of f(x)=8-2x if x≥6.
A plane is heading due south with an air speed of 125 mph. There is a constant wind blwoing from the west at 30 mph. Find the plane's ground speed and heading.
a triangle has sides that are of unknown lengths, but if one side is 12 x, the other sides are 5x and 6 x. Its perimeter is 52 inches. Determine the length of each side, show the steps of your answer clearly, check your answer and then state you a..
Probability : Bayes' Theorem, In a survey, it is found that 10 boys out of hundred are in favor of selecting their life partners themselves without any interference by their parents. Where as only 20 girls out of 500 hold this view.
A farmer wants to fence o a rectangular ?eld and then divide the ?eld in half with a fence down the middle (see diagram below). If he can only aord 240 ft. of fencing material, what is the width y which gives the maximum area of the ?eld?
The width of a swimming pool (in feet) is a prime number greater than 10.The width and length of the pool are factors of 408. What are the dimensions of the pool?
Which of the following is NOT a potential source of survey error?
Let A be a 4x5 matrix. If a1,a2,a3 are linearly independent and a3=a1-3a2, a5=a1-2a2-3a4, determine the reduced row echelon form of A.
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