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Define a relation R as the set of all pairs of bit strings (x, y) where x and y are bit ?strings with the same number of 0's. Prove R is an equivalence relation.
a horizontal,rectanular tank is 10' long,9'wide,8'high it is filled wiyh mud to a height of 5', how many barrels of mud is in the tank?
Find how much radioactive material remains after 7 hours. Round your answer to the nearest thousandth.
Find elementary matrices E,F,G and a matrix R in row-echelon form such that the following matrix A is equal to EFGR.
Suppose that a tank initially contains 2000 gal of water and the rate of change of its volume after the tank drains for t min is '(t)=(0.5)t)-30 (in gallons per minute).
Formulate the above as linear programming problem. Solve (a) by graphical method. Solve using simplex method.
Compute the derivative of the given function and find the equation of the line that is tangent to its graph for the specified value of x0.
Given a line L and a point A in the plane, construct the line perpendicular to L that passes through A.
An anchor weighing 105 lb in water is attached to a chain weighing 2 lb/ft in water. Find the work done to haul the anchor and chain to the surface of the water from a depth of 30 ft.
When graphing a linear inequality, how do you select the area (which side of the line) that is being represented (and has to be shaded) by the inequality?
The average trunk diameter of a pine tree is greater than the average diameter of a spruce tree.
Let V be an n-dimensional vector space over F. What is the characteristic polynomial of the Identity operator on V? What is the characteristic polynomial for the zero operator?
A radio transmission tower is 480 feet tall. A guy wire is to be attached 6 feet from the top and is to make an angle of 25o with the ground? How many feet long should the guy wire be? Round your answer to the nearest foot and do not write the uni..
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