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Question: Note that we have chosen the median of an n-element set to be the element in position n/2. We have also chosen to put the median of the medians into the set L of algorithm Select1. Show that this lets us prove that T(n) ≤ T(3n/4) + T(n/5) + cn for n ≥ 40 rather than n ≥ 60. (You will need to analyze the case where n/5is even and the case where it is odd separately.) Is 40 the least value possible?
If Sabrina spent $17.94 for a total of 54 stamps of these two denominations, how many stamps of each denomination did she buy?
Add-on software B takes the programmer 10 hours, the graphic artist 4 hours, and the mathematician 2 hours.
A long straight fence having a pole every 8 feet is 1,440 feet long. How many fence poles are needed for the fence?
Generate appropriate histograms or box plots. Find appropriate statistics that will help to understand the data set. Are there any notable features? Are there any outliers? Describe the key elements of center, variation, distribution, and outliers..
The length of a rectangle is 1 cm longer than its width. If the diagonal of the rectangle is 4 cm, what are the dimensions (the length and the width) of the rectangle?
A force of 5 Newtons acts in the direction of a = -7i+3j+4k, moving a particle from point B(1, 7, 1) to point C(-7, 5,-2). What is the work done on the particle given that the displacement is measured in meters?
An American bank A and a European bank E agree a currency swap. In n successive weeks w = 1, 2,...,n, bank A will buy $100 million worth of euros from bank E, at a price pw per euro determined by the spot exchange rate at the end of week w. After ..
at a point (x,y) on a metal plate is T(x,y)=4x2-4xy+y2. An ant on the plane walks around the circle of radius 5 centered at the origin. What are the highest and lowest temperatures encountered by the ants.
MATH 54 QUIZ 11. Express the given system of differential equations in matrix notation - x'1 = -2x2 + x1 - 4x3
It then flies straight through the air to the top of the tree. What is the angle of the crow's flight path relative to the ground
The first equation in a system of two equations is x - 2y = 10. The graph of the second equation does not intersect the first. Write a possible second equation for the system and explain your answer. (Note: There are multiple equations that will work..
What is the difference between simple interest and compound interest? Make sure you provide examples to support your explanation?
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