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A bucket that weighs 6 lb and a rope of negligible weight are used to draw water from a well that is 70 ft deep. The bucket is filled with 42 lb of water and is pulled up at a rate of 1.5 ft/s, but water leaks out of a hole in the bucket at a rate of 0.15 lb/s. Find the work done W in pulling the bucket to the top of the well.
A farmer has a rectangular garden plot surrounded by 270 ft of fence. If its area is 3800 ft2, what is the length and width of the garden?
Suppose that Al, Betty and Karl are dividing a half- cheese and half- pepperoni pizza. They use the lone shoose method. Betty is the chhoser and Karl and Al are thedividers.
A rancher with 800 ft of fencing wants to enclose a rectangular area and then divide it into four pens with fencing parallel to one side of the rectangle.
A. At what rate are sales changing in the year 2002? B. What happens to sales in the "long run" (that is, as t )?
Find the fundamental period p and corresponding w of: Help needed: How would i solve these problems?
Let C be a circle with center P and X a point in the exterior of C. Construct the two tangent lines to the circle that pass through X.
Explain Bisection and newton's method, Using the bisection method, find the positive root of 2x(1 + x^2)^-1 = arctan x
Application of law of cosines to pentagons - evaluate the perimeter of the pentagon. Show sketch and equation.
Find the velocity of the top of the ladder at time t=1.
During the first part of a trip, a canoeist travels 92 miles at a certain speed. The canoeist travels 41 miles on the second part of the trip at a speed 5 mph slower. The total time for the trip is 3 hours. What was the speed on each part of the t..
A tire on a car rotates at 500 RPM (revolutions per minute) when the car is traveling at 50 km/hr (kilometers per hour). What is the circumference of the tire, in meters?
A building is 372 feet tall. For a class project, Kari is to make a scale model of the building to place in the front hall display case. The display case is 29 inches tall. Which scale will allow her to make the tallest model that will fit in the ..
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