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(This problem is for students who are working on the relationship between k-element permutations and k-element subsets.) Write down all three element permutations of the five element set {1, 2, 3, 4, 5} in lexicographic order. Underline those that correspond to the set {1, 3, 5}. Draw a rectangle around those that correspond to the set {2, 4, 5}. How many three-element permutations of {1, 2, 3, 4, 5} correspond to a given 3-element set? How many three-element subsets does the set {1, 2, 3, 4, 5} have?
A table shows number of tickets and ticket cost, describe the pattern. How does the cost per ticket change as you buy more tickets?
1) Rudin, Ch. 1, Problem 1: If r is rational (r not equal to 0) and x is irrational, prove that r+x and rx are irrational.2) If (a_n), (b_n) are rational sequences, and lim a_n = a, lim b_n = b, show that: lim(a_n+b_n) = a+b, and lim(a_n b_n) = ab. 3..
Let x represent the number of $20 price increases. Write expressions for the new price, the number of rented apartments, and the total revenue.
List all the elements of X that are less than 30 - the set X of all binary strings having the same number of O's and 1's is defined
A plane flying horizontally at an altitude of 5 mi and a speed of 470 mi/h passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing when it is 8 mi away from the station. (Round to the n..
What is the k value for this cord? You may neglect the mass of the cord itself. Compute the derivative of the expression you found in Problem 4 and solve for the value of t where it is zero.
Find the curvature of r→(t) = (t2, In t, t In t) at the point (1,0.0). A projectile is fired with an initial speed of 200 ni/s and angle of elevation is 60°. Find the range of the projectile. The maximum height reached.
From the top of a 150-ft building Flora observes a car moving toward her. If the angle of depression of the car changes from 18 degrees to 42 degrees during the observation, how far does the car travel?
Assume f and g are differentiable functions such that f(3) = 4, g(3) = 3, f′(3) = -6 and g′(3) = 5. For each of the following, evaluate the expression or determine that there is not enough information in the question to evaluate it: Suppose you work ..
Lakeside Boatworks n planning to manufacture three types of molded fiberglass recreational boats-a fishing (bass) boat, a ski boat, and a small speedboat. Formulate a linear programming model for this problem
An employee receives a weekly salary of $310 and a 4% commision on all sales
A child slides down a slide with a 27o incline, and at the bottom her speed is precisely two-thirds what it would have been if the slide had been frictionless. Calculate the coefficient of kinetic friction between the slide and the child.
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