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A cable hangs between two poles of equal height and 28 feet apart. Set up a coordinate system where the poles are placed at x=-14 and x=14, where x is measured in feet. The height (in feet) of the cable at position x is
h(x)=14cosh(x14)
where cosh(x)=(ex+e-x)2 is the hyperbolic cosine, which is an important function in physics and engineering.
Why can't a rational function have both a horizontal and an oblique asymptote? Construct your own rational functions to give examples.
Find the linear correlation coefficient
customer from Cavallaro's Fruit Stand picks a sample of 4 oranges at random from a crate containing 65 oranges, of which 5 are rotten. What is the probability that the sample contains 1 or more rotten oranges.
Identification of the Slope, y-intercept, and x-intercept of the given equation
Make a position-vs.-time graph of that trip.
Find a matrix A that admits no LU decomposition, even if we only require that L is lower triangular ( not necessarily unit!) and U is upper triangular.
find the work done in moving an object through the force field F=xi+y^1/2j along the curve y=x^3/2 from (0,0) to (4,8)
Complete the given ordered pairs so that each ordered pair satisfies the given equation. Determine the equation of each line. Write the answer in standard form using only integers as the coefficients.
Juan's first-grade class received 82 half-pint cartons of milk to distribute evenly to his 22 students. How many cartons were left over?
Find an equation of the plane that passes through the line of intersection of the planes x + y - z = 2 and 2x - y + 3z = 1 and passes through the point (-1,2,1).
Supply and demand at $1.40 per bushel, the daily supply for oats is 850 bushels, and the daily demand is 580 bushels. When the price falls to $1.20 per bushel, the daily supply decreases to 350 bushels and the daily demand increases to 980 bushels..
Signature loans may not exceed 13% of the funds invested in all loans (automobile, furniture, other secured, and signature loans). Furniture loans plus other secured loans may not exceed the automobile loans.
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