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A bucket that weighs 4.8 pounds and a rope of negligible weight are used to draw water from a well that is 84 feet deep. The bucket is filled with 43 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 0.15 pounds per second.Find the work done pulling the bucket to the top of the well. Your answer must include the correct units.
Use implicit differentiation to find the slope of the tangent line to the curve [y}/{x - 4 y} = x^{3} - 5 at the point ( 1, {-4}/{-15} ). Find m=?
From a lot of 10 missiles, 4 are selected at random and fired. If the lot contains 3 defective missiles that will not fire, what is the probability that
In a local election, there are eight candidates for five positions as judges on the Supreme Bench. The number of possible outcomes of the election is:
Trace the algorithm below and track the number of times that the addition operation (+) is executed over the course of the program's run time. Answer the question by giving a formula in terms of n:
A sufficiently large coverage error will result in which of the following?
the selling price s(c) after 45% markup of an item as a function of the stores' cost c.
Compile a grouped frequency distribution for these data.
assuming no loss of speed,what is the velocity of the particle after the ricochet? simplify your answer.
Estimating the value of a function using 3rd Taylor polynomial and use our error guarantee to give a Plus- or-minus error to your estimate
What is the equation of the vertical line through P? What is the equation of the horizontal line through P?
Determine the height of the tree from the given information - Amman measures the angle between his base line and the line of sight to the base of the tree to be 510. How tall is tree, correct to the nearest M?
A volcano fills the volume between the graphs z=0 and z=1/(x^2+y^2)^14 and outside the cylinder x^2+y^2=1. Find the volume of the volcano.
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