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Suppose you plan to buy many blank compact discs. You check price lists and find you can buy up to 100 CDs at $0.74 each. The next 200 CDs would cost $0.69 each. All CDs after 300 cost $0.45 each. Write a functino that describes the cost c of number n of CDs purchased.
Who has the answer for f(x)=3x^2-18x+19? what is the vertex and symmetry?
Let X and Y have the joint pmf p(x,y) = 1/7, (0,0), (1,0), (0,1), (1,1,), (2,1), (1,2), (2,2), zero elsewhere. Find the correlation coefficient p.
Suppose a corporation wants a large picture to hang in its lobby in a space that is 90 ft.². What should be the dimensions of this picture if it is in the shape of a Golden Rectangle?
The postal service provides at least one good example of a function with jump discontinuities. What is one such function, taken from the postal service or some other real life example?
use an n-tuple integral to find the volume enclosed by a hypersphere with radius r in n-dimensional space.
According to Investment Digest ("Diversification and the Risk/Reward Relationship", Winter 1994, 1-3), the mean of the annual return for common stocks from 1926 to 1992 was 19.4%.
Let A = Z + Z + Z, let x_1 = (1,2,1) and x_2 = (1,5,1), and consider the subgroup B = (x_1, x_2) is a member of G. For the quotient group G = A/B, and write (x,y,z) is a member of G for the coset determined by n element (x,y,z) is a member of A.
Prove that if f is a differentiable function with f´(x) > 1 for all x, then there is at most one c such that f(c) = c. [Use the Mean Value Theorem]
The length of a rectangle is increasing at a rate of 5 cm/s and its width is increasing at a rate of 4 cm/s. When the length is 11 cm and the width is 9 cm, how fast is the area of the rectangle increasing?
Simple Probability, Sample Spaces, Events, A couple has three children, assume the likelihood of a boy is the same as a girl:
Each side of a regular pentagon has a length of 101mm. correct to the nearest mm. What is the least possible length of each side in mm?
A region is bounded by y=5-x, the x axis and the y axis. Find the volume of the solid generated when the bounded region is revolved about the line x=-2. Also graph the bounded region.
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