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Along the real number line, a particle starts at the position x1 = 1, then its subsequent positions are programmed to be xn = 1 - exn-1 for all n ≥ 2, where ε is some positivbe number less than 1. What is the particle's limit position on the real line? In other words, what is limn→∞ xn?
What is the probability of getting at least 1 diamond in a 5-card hand dealt from a standard 52-card deck? 2. In a family with 3 children, excluding multiple births, what is the probability of having 2 boys and 1 girl, in any order? Assume that a b..
A 100 foot wire is extended from the ground to the top of a 60 foot pole, which is perpendicular to the level ground. To the nearest degree, what is the measure of the angle that the wire makes with the ground.
Application of Calculus-Optimization problem - Show that the shortage length of such a rope occurs when θ 1 = θ 2
how much money is invested in bonds and how much in certificates of deposit? Explain in detail.
Calculate the monthly payment for each loan individually. How much do you pay each month? How long do you have to pay that monthly amount? Over the course of each loan, how much total do you pay? How much of that is interest? How much interest wi..
The area of a rectangle is 48 square centimeters. If the length of the rectangle is 8 centimeters longer than the width, how wide is the rectangle?
Determine the order of each differential equation, and whether or not the given functions are solutions of that equation on some interval of x values.
A ship leaves its home port and sails on a bearing of N 28°10' E. Another ship leaves the same port at the same time and sails on a bearing of S 61°50' E. If the first ship sails at 24 mph and the second ship sails at 28 mph, find the distance bet..
The value of a graphing calculator is $225. After 2 years, the value of this calculator is $160. Find the value of the calculator after 5 years.
Maximizing the Sustainable Yield, A lake has a carrying capacity of 10,000 fish. At the current level of fishing, 2000 fish per year are taken and the fish population seems to hold fairly steady at about 4000.
find the gradient field of f where f(x,y)= xy-2x. skecht some lever of a curve.
Write Boolean expression & draw the gate logic diagram & typical PLC logic ladder diagram for a control system wherein a fan is to run only when all of the following conditions are met:
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