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A rope with mass 8 kg and length 100 m hangs down a well that is 100 deep. The bucked on the end of the rope weighs 3 kg itself. At the start of lifting the bucket it contains 25 kg of water but slowly loses water at a constant rate so that at the top, half of the water is in the bucket. How much work is required to pull the bucket up the 100 m?
What is the probability that at least one student will visit the game room during the next 20 minutes?
What would you do if supply exceeded demand? What if demand exceeded supply?
Maximize z = 3x - 5y Subject to: 4x + y ≤ 12
determine formulae for the coefficients.fourier series can be defined on other intervals besides -l le x le l. suppose
compute a 90% confidence interval for the mean serum cholesterol level of teenage males in this city. Assume that the sample was taken from a normal distribution. Round your confidence limits to 2 decimal places.
What was the initial size of the culture?
There were 5000 jackets manufactured. Customers returened 24. What percent of the jackets were retured?
Which of these measures of central tendency do you think most accurately describes the lifestyle variable you are looking at?
Let's use the product and chain rule to find f'(x)= x*3(x-4)^2 + (x-4)3; factor out the common binomial to get f'(x)=[3x+x-4](x-4)2= [4x-4](x-4)2= 4[x-1](x-4)2; Now to f'' let's use the product and chain rule again. f''(x)=4[x-1]*2(x-4) + 4(x-4..
1 a show that the equation of the tangent line to the parabolay2 4px at the point x0 y0 can be written asy0y 2px x0b
A motorboat travels 356 miles in 4 hours going upstream and 357 miles in 3 hours going downstream. What is the rate of the boat in still water and what is the rate of the current?
What size squares should be cut from each corner in order to maximize the volume of the box and what is the maximum volume of the box?
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