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You are given the four points in the plane A = (-6,1), B = (-3,-2), C = (-1,8), and D = (2,-5). The graph of the function f(x) consists of the three line segments AB, BC and CD. Find the integral ∫-62 f(x) dx by interpreting the integral in terms of sums and/or differences of areas of elementary figures.
find the height of a tree that casts a horizontal shadow of 110 ft when the angle of elevation of the sun from the tip of the shadow measures 62 degrees.
Two weather tracking stations are on the equator 146 miles apart. A weather balloon is located on a bearing of N 35°E from the western station and on a bearing of N 23°E from the eastern station. How far is the balloon from the western station?
The Telektronic Company purchases large shipments of fluorescent bulbs and uses this acceptance sampling plan: Randomly select and test 24 bulbs, then accept the whole batch if there is only one or none that doesn't work
In 2005, the average commuting time to work in New York was 31.2 min. The average commuting time in North Dakota was 14.9 min shorter. How long was the average commute in North Dakota?
Choose h and k such that the system has (a) no solution, (b) a unique solution and (c) many solutions.
A stone dropped in a still pond creates a circular ripple whose radius increases at a constant rate of 3 ft/s. At what rate is the area enclosed by the ripple increasing 8 s after the stone strikes the pond?
The surface area of this pyramid is 189 cm The area of the square base is 49 cm sq . What is the area of one triangular face of the lateral surface? Show the steps of your solution and explain your work.
The assembly line that produces an electronic component of a missile system has historically resulted in a 2% defective rate. A random sample of 50 components is drawn. What is the standard error of the proportion?
Find the amount of work in joules required to empty the trough by pumping the water over the top. (Note: Use g=9.8 m/s^2 as the acceleration due to gravity.)
About 35.9% of all charitable contributions are made to religious organizations. In 2003, about $86.4 billion was given to religious organizaions. How much was given to charities in general, given the aforementioned data?
When you subtract one number from another, the answer is always less than both of the numbers in the subtraction problem. Support or disprove this statement with examples.
Find how much radioactive material remains after 8 hours. Round your answer to the nearest thousandth.
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