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Question: Calculate the number of one-to-one functions from a set S to a set T , where S and T are finite sets of various sizes. Can you determine a formula for the number of such functions?
Consider the closed interval [0,1]. Remove the open interval 11 I which has center at 1/ 2and length 1/ 2 . 2 Then remove 12 I and 22 I from 11 I ? I so that their centers coincide with the center of closed interval of 11 [0,1]? I and their length 1/..
Find a polar equation of the conic with focus at the pole and the given eccentricity and directrix.
During the first part of a trip, a canoeist travels 93 miles at a certain speed. The canoeist travels 11 miles on the second part of the trip at a speed 5 mph slower. The total time for the trip is 3 hrs. What was the speed on each part of the tri..
cooling tower for a nuclear reactor is to be constructed in the shape of a hyperboloid of one sheet. The diameter at the base is 270 m and the minimum diameter, 400 m above the base, is 160 m. Find an equation centered at the origin for the tower.
For a class of 43 students, for a certain exam, the mean grade is 67 and the standard deviation is 7, how many students should receive a C?
A vertical cross section of a certain 3-dimensional solid is parallel to the base and forms a rectangle. The horizontal cross section is perpendicular to the base and is also a rectangle. Name the 3-dimensional solid.
Define a pushdown automaton. Explain how pushdown automata are used to recognize sets. Which sets are recognized by pushdown automata? Provide an outline of a proof justifying your answer.
Find the equation of the plane tangent to the surface at the given point. Write the equation in the form z - z0 = fx(x0,y0)(x - x0) + fy(x0,y0)(y - y0).
A geometric progression has first term log_2 27 and common ratio log_2 y, find the set of values of y for which the geometric progression has a sum to infinity.
explain how the square and rectangular pieces tissues that were sliced from the kidney of the pig are different from
Juan is shopping for a new CD player. He finds one he likes for $225. The sales tax is 7.5%. What will be the total cost of the CD player?
How do you answer this: Let d be "it is a duck" p be "it is my poultry" o be "one is an officer" and w be "one waltzes" a. No ducks waltz
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