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A game consists of rolling a single fair die and pays off as follows: $3 for a 6, $2 for a 5, $1 for a 4 and no payoff otherwise. What is a fair price to pay to play this game?
Determine the equilibrium position of a cylinder of radius 3 inches, height 20 inches, and weight 5pi lb that is floating with its axis vertical in a deep pool of water of weight density 62.5 lb/ft^2.
The perimeter of a regulation singles tennis court is 210 feet and the length is 3 feet less than three times the width. What are the dimensions of the court?
A company had 80 employees whose salaries are summarized in the frequency distribution below. Find the standard deviation. Find the standard deviation of the data summarized in the given frequency distribution.
Find the total amount of interest that Eric and Pamela will pay over the 30 years of the mortgage.
How many relative maximum/minimum points are there? How many absolute max/min points?
Evaluate the integral
A kite 100ft above the ground moves horizontally at a speed of 8fts. At what rate is the angle between the string and the horizontal decreasing when 200ft of string have been let out?
Solve the following linear system using Gaussian elimination. Solve the following linear system using Gaussian elimination.
Write computer code to determine the steady state temperature at the five co-ordinates in the rectangular region: (a/4,b/4), (3a/4,b/4), (a/4,3b/4), (3a/4,3b/4), (a/2,b/2) using the first 100 terms of the series solution (n = 1 to 100).
the depth of a pond is 180 cm and is being reduced by 1 cm per week. the depth of a second pond is 160 cm and is being reduced by 1/2 cm per week. if the depths of both ponds continue to be reduced at these constant rates, in about how many weeks ..
Use the simplex method to determine the optimal production schedule so as to maximize profits. Show that the geometric method gives the same solution.
Find the derivative of the given function by using chain rule of differentiation.
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