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A bolt requires a torque of magnitude 50 ft-lbs to be loosened. The wrench to be used is of variable lengthand grips the bolt in such a way that it makes an angle of 60Ac-¦ with the horizontal. A mechanic is to apply40 lbs of force in the horizontal direction at the end of the wrench (towards the bolt) to loosen the bolt.What minimum length of the wrench is required?
What percentage of the high temperatures are within the interval X- - 2S to X- + 2S? How do these percentages compare to the corresponding percentages for a normal distribution (68.26% and 95.44%, respectively)?
The zoo is building a new polar bear exhibit, and wants to put a semi-circular window in the concrete wall of the swimming tank. Find the hydrostatic force on the window.
Find an equation of a line. Write the equation using function notation. Through (8, -4); perpendicular to 3y=x-6
It is a common experience to hear the sound of a low flying airplane, and look at the wrong place in the sky to see the plane. Suppose that a plane is traveling directly toward you at a speed of 200 mph and an altitude of 3,000 feet
Biologists want to set up a station to test alligators in the lake for West Nile Virus. Suppose that the costs for such a station are $2,500 for setup costs and $3.00 to administer each test.
Find the differential equation of motion for a spherical pendulum of length. A particle of man m can slide without friction on the inside of a small tube which is bent in the form of circular ring of radius r the tude estate about a vertical diameter..
a parabolic satellite dish is formed by rotating the curve y=ax^2 about the y-axis. if the dish has a 10 foot diameter and a maximum depth of 2 feet, find a and then find the surface area of the dish.
The trigonometric functions y = sin x and y = cos x have amplitude and period . Sketch a graph of each function on the interval [0, 2!].
Compute the flux of the vector field F= through the surface S given by y=x^2+z^2, 1/4
alculate the ninety-nine percent confidence interval find the mean gasoline mileage for 2006 cars when horsepower is 220.
How many different teams can the manager select from a roster of 10 girls?
An anchor weighing 105 lb in water is attached to a chain weighing 2 lb/ft in water. Find the work done to haul the anchor and chain to the surface of the water from a depth of 30 ft.
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