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Suppose that water is stored in a cylindrical tank of radius 2 m. If the height of the water in the tank is then the volume of the water is If we drain the water at a rate of 140 liters per minute, what is the rate at which the water level inside the tank changes? (Note that 1 cubic meter contains 1000 liters.)
List at least two criteria that (when present) prevent a tree from having a perfect matching.
jan buys 12 pens for $10. each pen costs the same amount of money . write a proportion to find the number of pens jan can buy for $15 . then solve your proportion for the numbers of pens.
find the velocity at which the part is moved after 5.0 s of each period.
Find the formula for the polynomial function of degree 4 if the graph flattens near the x-axis at -5, crosses the x-axis at 2, and pass through the point(-2,324)
Show that Goldbach's conjecture, which states that every even integer greater than 2 is the sum of two primes, is equivalent to the statement.
Develop a matlab program to find all roots of equation (1) using the methods discussed in class. Your program can not use the matlab built-in functions fzero, roots, eig, and eigs. You should turn in a .m file quarticxxx.m which contains a matlab fun..
At noon, ship A is 30 nautical miles due west of ship B. Ship A is sailing west at 22 knots and ship B is sailing north at 23 knots. How fast (in knots) is the distance between the ships changing at 5 PM?
A box with a square base has length plus girth of 108 in. (Girth is the distance "around" the box.) What are the two possible lengths of the box, if its volume is 2000 in?
Multiply and Simplify the following Expression. (2+2 v2 )(-5-2 v2). Simplify the following: (2+v6)/(2+v3) 9) and -2 v24-2 v6 +5 v6 -2 v20.
Devise an algorithm that finds all terms of a finite sequence of integers that are greater than the sum of all previous terms of the sequence.
Does the total-cost function satisfy the coefficient restrictions of (9.5) - Write out the total-revenue function R in terms of Q.
Determine the probability distribution, and the cumulative probability distribution of car arrivals. Simulate 20 hours of car arrivals at Joe Kelly's oil change and tune-up place.
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