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It can be shown that the curve y(x) of an inextensible flexible homogenouse cable hanging between two fixed points is obtained by solving y" = k v1 + y'2, where the constant k depends on the weight. This curve is called a catenary (from Latin catena = the chain). Find the graph y(x), assuming k = 1 and those fixed points are (- 1, 0) and (1, 0) in a vertical xy-plane.
nine college students had eaten the following number of times at a fast food restaurant for dinner in the last ten
Write and solve an inequality to find the possible number of times you can have Dream Pools clean your pool within your budget. Show your work and explain your thinking.
An open rectangular box is to be constructed from material that costs $12/ft2 for the bottom and $10/ft2 for its sides. Find the dimensions of the box of greatest volume that can be constructed for $81.
Model each situation with a linear function and graph. Is it reasonable to include negative numbers in the range?
the life of battery distributed with mean of 120 days and standard deviation of 5 days. What is the minimum number of days for the life time of randomly selected battery in order it can be top 10% of life time.
A business journal investigation of the performance and timing of corporate acquisitions discovered that in a random sample of 2,963 firms, 610 announced one or more acquisitions during the year 2000.
Please response to the following: Reason each step and explain the mathematical mistake if there is one.
Predict the sales price for 30 year old customer, who has a $40000 income and a 7 year old car.
question a chemical manufacturer has commissioned a series of stainless steel open top rectangular boxes with square
A set of data whose histogram is bell shaped yields a sample mean and standard deviation of 50 and 4, respectively. Approximately what proportion of observations are.
let f(x)=x^3+1. Find the point(s) on the graph of f where the slope of the tangent line is equal to 12, and find the equations of the tangent line at these points.
The lateral area of a rectangular prism with height of 5 feet is 175 feet squared. What is the perimeter of the base?
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