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A leaky bucket that weighs 4 lb and a rope of neglible weight are used to draw water from a well that is 917 ft deep. The bucket is filled with 36 lb of water and is pulled up at a rate of 5 ft/sec, but water leaks out of the bucket at a rate of 0.2 lb/sec. Find the work done in pulling the bucket to the top of the well (in ft-lb).
The curve for x=sqrt(In(y)) for 1
If an investor purchased 50 shares of Pearson Education stock at $85 per share, 90 shares at $105 per share, 120 shares at $110 per share and another 75 shares at $130 per share. What is the mean cost per share?
In Martian number system, 5 and 8 are the roots of the equation 5X2 - 50X + 125 = 0. Assuming that the number system on Mars developed in the same way as the number system on Earth, how many fingers does a Martian have?
In a percent change graph of an average teachers annual salary the bars representing successive years are either unchanged or decreasing in size.
a parabolic satellite dish is formed by rotating the curve y=ax^2 about the y-axis. if the dish has a 10 foot diameter and a maximum depth of 2 feet, find a and then find the surface area of the dish.
A business journal investigation of the performance and timing of corporate acquisitions discovered that in a random sample of 2,963 firms, 610 announced one or more acquisitions during the year 2000.
Determine, to two decimal places, the base b for an exponential model y = Abt of the rate of television thefts as a function of time in months.
Given an algebraic series with the following properties:
Suppose you have 50 American coins totaling exactly $1. This includes at least one quarter, and may contain nickels, dimes, and/or pennies.
Assuming that the results of a preliminary survey are not available. What is the most conservative estimate of the sample size that would limit the margin of error to within 0.05 of the population proportion for a 95% confidence interval?
Find the exact length of the curve defined by y=2[(sqrt(x))^(3)]-1=2x^(3/2)-1 from x=0 to x=2. Set up the integral, use the substitution method( reverse chain rule),
If f is a reimann integrable function on [a,b], and if [c,d] is a subset of [a,b], prove that f is reimann integrable on [c,d] hint: if P is any partition of [c,d], P can be extended to a partition P* of [a,b] with ||P*||
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