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a pendulum hangs from a ceiling and swings back and forth towards a wall. Harry starts timing the and at t=4 seconds the pendulum hangs closest to the wall, 25 cm away. Three seconds later the pendulum hangs farthest away from the wall (83 cm). Find an equation for the distance the pendulum is from the wall at any time t.
A light-year is a measure of length equal to the distance that light travels in 1 year. Compute the conversion factor between light-years and meters, and find the distance to the star Proxima Centauri 4 1016 m in light-years.
Use excel solver to find solution for LP problem A couple has agreed to attend a "Casino Night" as part of a fundraiser for the local hospital. They do not like to gamble because they believe that gambling is generally a losing proposition.
Prove that there is a positive integer that equals the sum of the positive integers not exceeding it. Is your proof constructive or nonconstructive?
A quick setting grout made from a mixture of cement/sandwater and an additive is needed for a tunnelling project
Formulate a Linear Program (LP) that can be used to maximize the revenue. Solve the LP graphically.
A pole 70 feet tall is situated at the bottom of a hill that slopes up at an angle of 9.9 degrees. A guy wire fromthe top of the pole to the hillside forms an angle of 25 degrees eighths top of the pole. Find the distance of the pole to the guy wi..
You are reducing a map of dimensions 2 feet by 3 feet to fit to a piece of paper 8 inches by 10 inches. What are the dimmensions of the largest possible map that can fit on the page?
A steady stream of water flows into a partially-filled rectangular tank. After 6 minutes, there are 87 gallons of water in the tank. After 21 minutes, there are 222 gallons. Write an equation to represent the volume of water in the tank y after x ..
What is the probability of drawing three queens in a row from a deck of cards when the drawn card is returned each time?
In rectangle ABDF above, C and E are midpoints of sides BD and DF , respectively. What fraction of the area of the rectangle is shaded?
Find the correlation between External and Internal attributions significant?
Approximate f by a taylor polynomial with degree n at the number a, and use taylors inequality to estimate the accuracy of the approximation f(x)=T(x) when x lies in the given interval
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