Well-stirred mixture
A 200 liter tank initially haves 100 liters of pure brine. Pure water is added at the rate of 2 L/min, and well-stirred mixture is drained at a rate of 1 L/min. How much brine remains when the tank is full? How concentrated is the remnant?
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Determine the approximate solution to the initial value problem dy/dx = 4x+1/2y;y(0)=1 at the point x = 1, using a single step of size h = 1.
A 200 liter tank initially haves 100 liters of pure brine. Pure water is added at the rate of 2 L/min, and well-stirred mixture is drained at the rate of 1 L/min. How much brine remains when the tank is full? How concentrated is the remnant?
Transform homogeneous equation dy/dx=sqrt x^2+xy+y/2x+y into seperable first-order equation by using the appropriate substitution. You do not need to solve the resulting equation.
A vertical conical tank which is the 10ft tall with radius of 6 feet at the top is full of water. How much work is done to empty bottom two feet of water over the top of tank? THEN, empty the top two feet. Which takes more work?
Is it possible to find out the intersection of two matrices if the matrices don't equal each other. Say, H = (1,2,3,4) which is a 2x2 matrix and K= (5,6,7,8) which is a 2x2 matrix. So what would HnK be? (where n= intersection)
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For some unknown reason, we desire to spend exactly $100 on 100 animals at Animal Rescue Society. Dogs cost $15 each, cats are $1, and mice are four for the dollar. We have to purchase at least one of each and every kind of animal. Our goal is to
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