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Question: A short message has been encoded by converting it to an integer by replacing each "a" by 1, each "b" by 2, and so on, and concatenating the integers. The result had six or fewer digits. An unknown number a was added to the message mod 913,647, giving 618,232. Without the knowledge of a, what can you say about the message? With the knowledge of a, what could you say about the message?
Let yp b a particular solution of the second order linear non-homogeneous equation
Find the limit limx→∞(1+ (2/x))x. More generally, find the limit limx→∞(b+(a/x))x where a is a real number and b is a positive real number
The base of a solid is a circular disk with radius 7. Parallel cross sections perpendicular to the base are squares. Find the volume of the solid.
Develop a 90% confidence interval for the amount of out-of-pocket expense per employee. What is your point estimate of the proportion of employees who incurred no prescription drug costs
GAME SHOWS In a television game show, the winner is asked to select three prizes from five different prizes, A, B, C, D, and E.
Construct the general solution of x' = Ax involving complex eigenfunctions and then obtain the general real solution.
With a tail wind, a plane flew 240 km in 45 minutes. With no change in the wind, the return trip took 48 min. Find the wind speed and the air speed of the plane.
The force needed to keep a car from skidding on a curve varies jointly as the weight of the car and the square of the speed and inversely as the radius of the curve.
Let A be a set of six positive integers each of which is less than 13. Show that there must be two distinct subsets of A whose elements when added.
Of the 2 that you identified, explain a strategy that one or the other has used in an attempt to gain more control of its respective market and a strategy that you think would work better.
Approximate the required work by a Riemann sum.
What would be the selling price per pound for the prepackaged apples using a 30% markup based on cost? A 40% markup? A 50% markup?
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