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A rancher plans to set aside a rectangular region of 1 square km for horses. A wooden fence encloses the area, and the side along a highway will cost 3 times as much per sq meter as the other sides to fence. Find the dimensions to minimize cost.
a motel clerck counts his $1 and $10 bills at the end of a day. He finds that he has a total of 63 bills having a combined monetary value of $198. Find the number of bills for each denomination he has.
An apartment building has seven elevators. Each elevator stops on at most six floors. You can get to any one flooor from any other floor without changing elevators (if you take the right elevator). What is the largest number of floors that buildin..
Find the work done by the force field F(x,y,z) = / (x^2+y^2+z^2)^(3/2)
Use Gaussian elimination with partial pivoting to find matrices L and U such that U is upper triangular, L is lower triangular with | l_ij| = j and LU = A', where A' can be obtained from A by interchanging rows.
suppose a car sitting on a hydraulic left exerts a downward force of 1,750 N on a piston with an area of 0.6m squared. How much pressure does the car exert on the piston?
Use the definition of the derivative to find the derivatives of the following functions: Use the definition of the derivative to write out the derivative of h(x) where h(x)=f(x) + g(x). Can you rearrange the terms to write this in terms of the deri..
What are all the possible dimensions for boxes that will hold exactly 2oo one-inch cubes?
Draw a scalene triangle and label the vertices, A,B, AND C. The side opposite vertex A is line segment BC. Find the midpoint of line segmentBC by constructing the bisector of line segmrnt BC. label the midpoint M.
how much money do they need to invest now to reach their goal?
what is the correct classification of 18x?
Explain whether each statement is true or false. Please give short explanation why and if false, please give an example. The maximum of a function that is continuous on a closed interval can occur at two different values in the interval.
If a body of a mass m starting from rest is given a constant acceleration of a,then after time t,its velocity is v=at and its kinetic energy is E=1/2mv^2. If a mass of 0.5 tonne starting from rest is given a constant acceleration of 2.0 m/s^2, fin..
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