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A bucket that weighs 3.4 pounds and a rope of negligible weight are used to draw water from a well that is 76 feet deep. The bucket is filled with 36 pounds of water and is pulled up at a rate of 2.8 feet per second, but water leaks out of a hole in the bucket at a rate of 0.3 pounds per second. Find the work done pulling the bucket to the top of the well. Your answer must include the correct units. (You may enter lbf or lb*ft for ft-lb.)
Find the magnitude and direction of each vector. Find the unit vector in the direction of the given vector.
There are about 5.859x10¹² miles in 1 light-year. Estimate how many miles this star travels in one year.
One airplane is approaching an airport from the north at 149 km/hr. A second airplane approaches from the east at 246 km/hr. Find the rate at which the distance between the planes changes when the southbound plane is 27 km away from the airport an..
Will this use compound interest? If not, how can I word the problem where the interest will compound?
If 1300 square centimeters of material is available to make a box with a square base and an open top, find the largest possible volume of the box.
Use cylindrical shells to find the volume V of the solid.
From the top of a 165 ft lighthouse, the angle of depression to a ship in the ocean is 23°. How far is the ship from the base of the lighthouse?
if the sides of a square are lengthenedby 8cm, the area becomes 289cm^2. Find a length of a side of the original square.
Find the absolute maximum and minimum mpg
A ball of radius 12 has a round hole of radius 5 drilled on an axis through its center. Find the volume of the resulting solid.
the area of an equilateral triangle is decreasing at a rate of 4 cm^2/min. Find the rate at which the length of a side is changing when the area of the triangle is 200 cm."
Two trains leave stations 408 miles apart at the same time and travel toward each other. One train travels at 95 miles per hour while the other travels at 75 miles per hour. How long will it take for the two trains to meet.
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