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a bag of sand originally weighing 144 pounds was lifted at a constant rate. the sand was half gone by the time the bag had been lifted 18 feet. How much work was done lifting the sand this far?
In each of the following parts, you should simplify your answers where it is appropriate to do so. Write down the derivative of each of the functions
A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y= 10-x^2. What are the dimensions of such a rectangle with the greatest possible area?
a rancher has 200 feet of fencing available to enclose two adjacent retangular corrals. Each corral is to be the same size. What dimensions for each corral will maximize the area enclosed by the two corrals?
A twin engined aircraft can fly 1520 miles from city A to city B in 5 hours with the wind and make the return trip in 8 hours against the wind. What is the speed of the wind?
Assuming that there is no cost to enter the .sweepstakes, find the expected value of the amount won for one entry. Round to the nearest tenth.
Let (X, E, u) be a measure space with u a non-negative measure. Suppose that Prove that f (x) = 0 a.e. with respect to u.
Does the breakfast revenue seem to increase as the number of occupied rooms increases? Draw a scatter diagram to support your conclusion.
A spherical ballon is being inflated at the rate of 5 cubic inches a minute. At what rate is the radius changing after ten minutes?
A geometric progression has first term log_2 27 and common ratio log_2 y, find the set of values of y for which the geometric progression has a sum to infinity.
triangle ABC has vertices A(0, 6), B(4, 6), and C(1, 3). Find the orthocenter of triangle ABC.
A company's records indicate that on any given day, 1% of their day shift employees and 2% of the night shift employees will miss work. Sixty percent of the employees work the day shift.
A ball is thrown vertically upward from a height of 6 feet with an initial from a point of 60 feet per second. How high will the ball go?
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