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A spring with a 2 kg mass attached to it has spring constant 8 N/m and no damping. There is an external force given by F(t) = 24 sin 2t N, where t is time. The mass is initially stretched 2 m beyond the equilibrium position and released with an initial velocity of 1 m/s.
Find the position of the mass measured from the equilibrium position.
The minute hand of a clock is 4 inches long and the hour hand is 3 inches long. How fast is the distance between the tips of the hands changing at 4pm?
The Chi square test
Let R be the elliptical region in the first quadrant bounded by x^2/3^2 +y^2/2^2 =1. Use the change of variables, x =3u , y =2v , to evaluate the area of R .
A study of freeway flow at a particular site has resulted in a flow-density relationship.
Write an equation representing the amount of money the class will make based on the number of tons of newspapers collected.
Calculate the probability of rolling dice and obtaining a 3 or a 5 consecutively three times?
A cylindrical drill with radius 2 is used to bore a hole throught the center of a sphere of radius 7. Find the volume of the ring shaped solid that remains using polar coordinates.
Calculate the sample proportion, µ for the proportion of offspring peas with yellow pods.
A new fashion in clothes is introduced. It spreads slowly through the population at first but then speeds up as more people become aware of it.
A landscaper blends his own fertilizer which consists of four compounds at the listed price per lb: Formulate an LP problem to determine what blend of these compounds will minimize the cost of a 50lb bag of fertilizer given the following:
Allison is saving money to buy a video game system. In the first week, her savings were $8 less than 2/5 the price of the system. In the second week, she saved 50 cents more than 1/2 the price of the system.
U sing an equal number of participants, find how many subjects will you need in each group
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