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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).
Using the washer method, find the volume of the solid generated when the region bounded by the curves y=(square root of)x and y=x^2 is revolved about the x-axis.
people were polled on how many books they read the previous year. how many subjects are needed to estimate the number
rosa works due north of home. her husband works due east. they leave for work at the same time. by the time rosa is 7 miles from home, the distance between them is one mile more than bens distance from home. how far from home is ben?
A 180-lb person compresses a bathroom scale 0.060 in. If the scale obeys Hooke's law, how much work is done compressing the scale if a 90-lb person stands on it?
Perform the last step in the hypothesis test. Do you reject the null hypothesis or fail to reject the null hypothesis?
how can you check your answer to determine whether it is correct? Demonstrate the process of checking an answer with an example.
Find the area of the region bounded by the parabola y = x2, the normal line to the parabola at (2,4), and the x-axis. (The normal line to a curve C at a point P is the line through P that is perpendicular to the tangent line at P.
The length of an office is x feet and the width is x+1 feet. Write the polynomial that represents the area. Find the area if x=8
If 80% of a radioactive element remains after 250 million years, then what percent remains radioactive after 600 million years? What is it's half life?
Find the sine of angle B.
The probability of being awarded the bid is 0.1, and anticipated profits are $150,000, resulting in a possible gain of this amount minus the $15,000 cost for the plans and model. What is the expected value?
A 62 foot rope hangs from the top of a pole. When pulled taut to its fullest length the rope reaches a point on the ground 31 feet from the base of the pole. Find the height of the pole to the nearest tenth of a foot. Let p equal the height of the..
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