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A bucket that weighs 5 pounds and a rope of negligible weight are used to draw water from a well that is 80 feet deep. The bucket is filled with 45 pounds of water and is pulled up at a rate of 2.5 feet per second, but water leaks out of a hole in the bucket at a rate of 0.2 pounds per second. Find the work done pulling the bucket to the top of the well. Your answer must include the correct units.
"Find all times t in the open interval 0
A triangle with base 3 m and height 5 m is submerged vertically in water so that the tip is even with the surface. Express the hydrostatic force against one side of the plate as an integral and evaluate it.
Probability and Expected Cash Flow in Marketing Management. Cooper Construction is considering purchasing new, technologically advanced equipment. The equipment will cost $625,000 with a salvage value of $50,000 at the end of its useful life of 10..
Digit probability A young girl gave a young man her phone number during a hurried parting. The young man remembers the 7 digits of her phone number
You are the financial manager of a furniture company. It is your job to create supply and demand graphs that show the break-even point for the company.
What proportion is between 150 and 140 centimeters
a boat can travel 124 mph in still water. if it travels 203 miles with the current in the same length of time it travels 133 miles against the current, what is the speed of the current?
What is the slope, or rate of change, of this equation?
The length of a rectangle is increasing at a rate of 2 ft. per second, while the width is increasing at a rate of 1 ft. per second. When the length is 4 ft. and the width is 5 ft., how fast, in square feet per second, is the area increasing?
The dimensions of a rectangle are such that its length is 5 in more than its width. If the length were doubled and if the width were decreased by 2 in., the area would be increased by 52 in squared. What are the length and width of the rectangle?
Suppose that N and M are two normal subgroups of G and that N intersection M = (e). Show that for any n belongs to N, m belongs to M, nm = mn.
A windshield wiper that is 2 feet long sweeps through an angle of 157°. What is the distance traveled by the tip of the wiper?
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