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A conical bin must have a volume of 2500 ft^3. The circular base is made of a concrete slab, which will cost $1.30 per square foot, and the material for the side costs $3.50 per square foot. Find the dimensions that minimize the total cost. You'll probably have to poke around a bit to find the formula for the surface area of a cone. Sketch a graph of the objective function, and check your calculus answer by locating the minimum on your calculator.
A manufacturer produces cardboard boxes that are open at the top and sealed at the base. The base is rectangular and its length is double its width.
Telephone rate. A second long-distance telephone service charges $0.09 per minute or fraction thereof for calls lasting 10 minutes or more and $0.18 per minute or fraction thereof for calls lasting less than 10 minutes.
As of December 31, 2010, Walton Corporation had a current ratio of 1.84, quick ratio of 1.45, and working capital of $18,000. The company uses a perpetual inventory system and sells merchandise for more than it cost.
A tourist in France wants to visit 8 different cities. If the route is randomly selected, what is the probability that she will visit the cities in alphabetical order?
Use the recurrence equation above and strong induction to prove that F(n) =1, where F(n) is the Fibonacci sequence.
Determine whether each of these proposed definitions is a valid recursive definition of a function f from the set of non negative integers to the set of integers.
Find the volume of the solid in the first octant bounded by the surfaces of z = 1 - y^2, y = 2, and x = 3.
A business journal investigation of the performance and timing of corporate acquisitions discovered that in a random sample of 2,963 firms, 610 announced one or more acquisitions during the year 2000.
Probability and Frequency Distributions. Due to rising medical costs, 43 million people in the United States go without medical insurance
Find the points where the plane z=5x-4y+3 intersects each of the coordinate axes. Find the lengths of the sides and the angles of the triangle formed by these points.
Compute the Wronskian of the given set of functions, then determine whether the function is linearly dependent or linearly independent: x^2 - x, x^2 + x, x^2, all x
Find the volume of a solid that is generated by rotating the region formed by the graphs of y=x^2, y= 2, and x = 0 about the y-axis?
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