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A ladder 14 ft long rests against a vertical wall. Let theta be the angle between the top of the ladder and the wall and let x be the distance from the bottom of the ladder to the wall. If the bottom of the ladder slides away from the wall, how fast does x change with respect to theta when theta = pi/3
Define the function f: (0, 1) -> A as follows: For x in the open interval (0,1), let f(x) be the element of A with the property that for every positive integer k, the digit i_k in the kth decimal place of f(x) is the least i in I such that x has a..
Use the quadratic formula to find out how long the rocket will take to hit the ground after it is launched. Round to the nearest tenth of a second.
Construct appropriate probabilistic models - appropriate probabilistic model and find the probability of getting doubles.
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.
Two friends Dave and Pete often play squash and tennis together. Over the years, they have found that Dave wins 3 out of every 5 rounds of squash and 1 out of every 4 tennis matches
Jill's father bought Jill a car with the understanding that she would pay the car off in four years by making equal monthly installments. The car cost her father $5000 plus 9% sales tax. How much are the monthly payments Jill must make to her fath..
A balloon rises vertically after it is released and is tracked by an observer 50 feet from the point of release. At a certain moment the angle between the balloon and the foot of the observer is and is changing at a rate of 2 rad/min. At what rate..
Diastolic Blood pressure are assumed to follow a normal distribution with a mean of 85 and a standard deviation of 12.
The table below shows the number of gallons of heating oil delivered to a residential customer each December from 1986 to 1993.
Find the solutions in the interval - Round terms to three decimal places where appropriate
Probability: Random Dart. A dartboard has 3 areas: the main board has a radius of 9 inches; there is a circle with a radius of 5 inches
Let C be the curve which is the union of two line segments, the first going from (0, 0) to (-2, 2) and the second going from (-2, 2) to (-4, 0). Computer the line integral of (-2dy -2dx)
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