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Let A be the set of all ordered pairs of positive integers and R be the relation defined on A where (a, b) R (c, d) means that b - a = d - c. Then [(2, 4)] = ?
A heavy rope, 30 ft long, weighs 0.6 lb/ft and hangs over the edge of a building 70 ft high. How much work W is done in pulling half the rope to the top of the building?
Find a number in the interval [1/2, 3/2] such that the sum of thee number and its reciprocal is as large as possible.
Select a current issue from the news, or of interest to you, regarding the relationship between two variables. This topic will be used as the basis of a Graphing Two Variables paper and presentation.
Suppose that the survival distribution of a group of patients follows theexponential distribution with G = 0 (year),λ = 0.65. Plot the survivorshipfunction and find: The mean survival time and The median survival time
A rock is thrown into a still pond and causes a circular ripple. If the radius of the ripple is increasing at a rate of 5 ft/sec, at what speed is the area of the ripple increasing when its radius is 15 feet?
Below is the graph of f(x). For each of the given points determine the value of f(a) and lim x→af(x) . If any of the quantities do not exist clearly explain why.
Given a positive integer n, simulate n repeated flips of a biased coin with probability p of heads and determine the number of heads that come up. Display the cumulative results.
Use a worksheet to simulate the rolling of dice. Use VlookUP function to select the outcome for each die
A man in rowboat at point P, 150km from the shore, wishes to reach a point B, 600 km down shore, in the shortest amount of time. Where should he land if he can row at 4km/hr and walk at 7km/hr?
A baseball team plays in a stadium that holds 56000 spectators. With the ticket price at $9 the average attendance has been 24000. When the price dropped to $8, the average attendance rose to 28000.
Describe your analysis as per the statistical analysis section of a journal's methodology and perform your analysis and then write-up in the style of a journal's results section
Define the x-axis to be along the plane and put the origin at the nearest point to the earth. Assuming the space capsule lands at x0 > 0 with initial velocity zero, what happens to the space capsule?
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