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Question: 1. (a) Find the work done in compressing the spring from x = 0 to x = 1 and in compressing the spring from x = 4 to x = 5.
(b) Which of the two answers is larger? Why?
2. A circular steel plate of radius 20 ft lies flat on the bottom of a lake, at a depth of 150 ft. Find the force on the plate due to the water pressure.
When constructing parallel and perpendicular lines, how are the steps similar
Suppose an economy has four sectors: Mining, Lumber, Energy, and Transportation. Mining sells 10% of its output to Lumber, 60% to Energy, and retains the rest.
A ball drops from a height of 20 feet. Each time it hits the ground, it bounces up 70 percents of the height it fall. Assume it goes on forever, find the total distance it travels.
Jackson Sheds has four different warehouse configurations under study, ranging from four warehouses to seven warehouses. So they are considering whether to have 4, 5, 6, or 7 warehouses. Each warehouse has a capacity of 400 units and costs $2..
Let n=0{Φn(x)}∞ be a family of orthonomal polynomials with respect to the weight function w(x). Show that the nth degree polynomial that minimizes.
The Daily Prophet reported that the average price of a house in Godrics Hollow is $46,000. Unfortunately, they did not report the shape of the distribution so it is presumed as unknown and not to be normal.What they did report was that 60% of the ..
Jill's Company produces lawnmowers. It has fixed costs of $1000 per week and Variable costs of $70 per lawn mower.
80 books will be divided among 6 people. No two people will receive the same number of books. Find the maximum number of books
An 18.0 ft tall tree is broken in a wind storm such that the top falls to the ground 8.0 ft from the base. If the two sections of the tree are still connected.
A group of elderly people chartered a bus for 160 dollars. However, at the last minute 8 of them fell ill and had to miss the trip. As a concequence the other citizens had to pay an extra 1 dollar. How many people went on the trip?
explain and provide an example of the method used to solve a linear inequality in two variablesis it possible to use
A plane leaves an aircraft carrier and files due north at 500km/hr. the aircraft carrier proceeds 30 degree west of south at 35km/h. if the plane has enough fuel for 4h of flying, what is the maximum distance north it can fly,
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