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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.
a farmer purchases 730 feet of fencing to enclose a rectangular garden. If the length of the garden is 5 feet more than 3 times the width. what is the dimensions of the garden?
what is the volume of a rectangular storage facility that is 75ft tall, 80ft wide and 15ft. tall?
Solving problem on distributive Laws
What does a saddle point or a null point mean? What kind of physical meaning could that correspond to?
a car is traveling 50mi/h when the brakes are fully applied, producing a constant decceleration of 22ft/s^2. What is the distnace traveled before the car comes to a stop.
How many batches of the topping must she make to complete her torte? (Use ? = 3.14 as an approximate value)
The fuel consumption c of Micheal's car ( measured in gallons per hour ) is a function of speed ( or velocity ) v of the car ( measured in miles per hour). Since he has owned the car for several years now, Micheal has determined through experimentati..
Simple cantilever beam bending moments etc.
one card is selected at random from a standard deck of 52 playing cards, what is the probability that the card is an even-numbered card.
Construct an explicit deformation retraction of the torus with one point deleted onto a graph consisting of two circles intersecting in a point, namely, longitude and meridian circles of the torus.
Prove that f(x) is continuous at every irrational point and discontinuous at every rational point. Show that f is integrable on [0,1]
Determine the best decision, using the following decision criteria.
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