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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?
Solve the constant-coefficient equation in u to find two linearly independent solution. Use part (b) to find solution of the DE when a = 1 and b = -1/2. FInd the solution when y(1) = 0 and y'(1) = 1.
Karla Harby Communications, a small company of science writers, found that its rate of profit (in thousands of dollars) after t years of operation is given by the function.
PART A: My assigned number is 18: Write the equation of a line parallel to the given line and passing through the given point. (y = 2x - 1; (-2, 2).
Jennifer, who is 63 inches tall, casts a shadow that is 95 inches long. At the same time, Elizabeth's shadow is 101 inches long. How tall is Elizabeth?
The temperature at a node is approximately equal to the average of the four nearest nodes-to the left, above, to the right, and below.3 For instance
Compute the expected number of silver dollars in the pot after turn n ∈ N - Compute the probability that the game will stop eventually.
If Luke's monthly payment is $365.44 (principal and interest) and it takes 10 years to pay back the loan, what is the total cost of the loan?
Congratulations! You're about to become a blogger! Throughout this course, you will be writing potential blog posts and sharing them in the discussion forums with your classmates. Then, you and your classmates can read each other's blogs and comme..
For which values of k are the following vectors u and v orthogonal? Let u,v be orthogonal unit vectors. Prove that d(u,v) = 2^(1/2)
Write Taylor polynomial approximations PN(h) of f(a+h) as a function of h, for small h, and state a formula for the error f(a+h)-PN(h)
Let A be a real n x n matrix. Show that a linear subspace E of R^n is A-invariant if and only if E is e^{tA} -invariant for all t in R, where e^{tA} is the exponential matrix associated to A.
The perimeter of the rudder of a boat can be described as the region bound by y = -0.5x2v(4 - x2), and the x-axis. Find the area of one side of the rudder.
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