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The volume of an open-top rectangular box is 420 cubic cm. The length of the rectangular base of the box is four times the width. Find the length and width to the nearest cm so that the surface area is as small as possible. Also find the height and minimum surface area.
Determine the size of their product and multiply them, if possible. If the matrix multiplication is not possible, use their sizes to explain why not.
Water is raised from a well 40 ft deep by a bucket attached to a rope. When the bucket is full, it weighs 30 lb.
Demonstrate the use of the Pythagorean Theorem in the solution of this problem
A man 6 ft tall walks at a rate of 5 ft/s away from a lamppost that is 23 ft high. At what rate is the length of his shadow changing when he is 60 ft away from the lamppost?
A plane flying horizontally at an altitude of 2 mi and a speed of 520 mi/h passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing when it is 5 mi away from the station. (Round your ans..
Find the exact instantaneous rate of change of h at the point where x = π / 4. Which function is changing most rapidly at x = 0.25: h(x) = f(g(x)) or r(x) = g(f(x))? Why?
MAST20018 - Discrete Mathematics and Operations Research State an upper-bound and a lower-bound on the vertex-chromatic number of the graph, and give reasons for your answers - Find an optimal colouring of the graph.
A researcher is studying the relationship between earnings for major electronic firms
Can one consider one of these problems as a special case of the other?
Summarize how agriculture in the United States has changed over the past century. About how much of each dollar spent on food currently goes to farmers?
A person purchased a $145,761 home 10 years ago by paying 15% down and signing a 30-year mortgage at 12.3% compounded monthly. Interest rates have dropped and the owner wants to refinance the unpaid balance by signing a new 15-year mortgage at 6.9..
The reduced price of a dress is $54.99. Find the original selling price if a reduction of 40% has been taken.
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