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A k-pyramid Pk is the convex hull of a (k - 1)-polytope Q and a point x ∉ aff Q. Find a formula for each of the following in terms of fj (Q), j = 0,,,,,,, n - 1.
a. The number of vertices of Pn : f0(Pn).
b. The number of k-faces of Pn : fk (Pn), for 1 ≤ k ≤ n - 2.
c. The number of (n - 1)-dimensional facets of Pn : fn-1(Pn).
suppose that you wish to construct a telescope that can resolve features 7.0km across on the moon.383 000 km away. you
The surface are of the moon is 37 932 330 km square. Calculate the sie length of a square with the same area. Show your work.
Find all maximum points, minimum points and points of inflexion, using differentiation techniques, for the function f(x) = x3 - 9x2 - 48x + 52.
an economist wants to estimate the mean income for the first year of work for a college graduate who has had the
Please respond to the following question: Find the greatest common divisor of the following polynomials over F, the field of rational numbers:
Donovan Enterprises produces electric mixers. Demands for the next four quarters are: 40000, 20000, 30000,and 70000. Each quarter's demand must be satisfied in the same quarter. Production cost is estimated to be $30 per mixer. Due to limited number ..
For a buffet dinner, the restaurant charges $10.00 for one person, $20.00 for two people, $29.00 for three people, $37.00 for four people, $44.00 for five people, and so on. How much does a buffet dinner for 8 cost?
Detailed process, especially mentioning the strategy and theorems used.
A conical water tank with vertex down has a radius of 10 feet at the top and is 29 feet high. If water flows into the tank at a rate of 20 {rm ft}^3{rm /min}, how fast is the depth of the water increasing when the water is 13 feet deep?
Evaluate the Fourier coefficients ao, an, bn and the exponential coefficient Dn for the waveform shown below; do not use MATLAB or a calculator for integrations.
choose one 1 public corporation in an industry with which you are familiar. research the company on its own website the
Marcos drove twice as far as Candice. Together, they drove 66 miles. Which equation can be used to find the number of miles Candice drove?
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