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A bucket that weighs 4 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 36 lb of water and is pulled up at a rate of 2 ft/s, but water leaks out of a hole in the bucket at a rate of 0.2 lb/s. Find the work done W in pulling the bucket to the top of the well.
Approximate the required work by a Riemann sum.
You have a choice to build a small new plant, do nothing (the value of this is zero), or build a large plant. We'll use Net Present Value to compute this.
a motel clerck counts his $1 and $10 bills at the end of a day. He finds that he has a total of 63 bills having a combined monetary value of $198. Find the number of bills for each denomination he has.
Find the linear equation that relates value (V) in dollars to time (t) in years. What would be the value of the equipment after 6 years?
Quantitative Methods- Probabilities Problem. A country road averages 6 potholes per mile. A road crew is sent out to repair the road. Find the following probabilities. Use the appropriate table or software if you want.
Probabilities, A survey of MBA students obtained the following data on "student's first reason for application to the school in which they matriculated".
In an 8 inch square cake pan and a 9 inch square cake pan, what is the difference in volume each pan will hold? Assume each pan is 2.5 inches high. Show step by step work. Include correct units with your solution.
Write a Matlab script to do the following. Assign m and n to 3 and 4 respectively, create a m by in matrix with terms a_ij=i*j and call t A and then multiply A by random 4x4 matrix
From a total of 15 people, three committees consisting of 3, 4, and 5 people, respectively, are to be chosen. How many such sets of committees are possible if there is no restriction on the number of committees on which a person may serve?
A boat can travel 46 mph in still water. If it travels 270 miles with the current in the same length of time it travels 190 miles against the current, what is the speed of the current?
There are 3 boxes. Each box contains several envelopes. Some envelopes have "you lose" written on them. The rest say "you win..." . However, of the ones that say "you win..." , some contain only a piece of paper saying "... nothing" . Each of the ..
Sally has 5 red flags, 6 green flags, and 5 white flags. How many 16-flag signals can she run up a flag pole?
give the definition for a cauchy sequence of real numbers, prove that every convergent sequence is a cauchy sequence.
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