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1. A 50 g mass oscillates at a frequency of 0.13 Hz. Assume that t = 0 when the mass is at its maximum displacement. At what time will its displacement be zero? At what time will its amplitude be located at half of its amplitude?
2.A light spring and a 0.65 kg block are placed on a horizontal frictionless surface. The spring is compressed a distance of 6 cm and released to vibrate with SHM. If the spring constant is 10 N/m, what is the initial acceleration of the block? What is the initial force on the block?
The radius of the tank is 3 feet. How fast is the level of the water in the tank rising when the tank is half full? The level of the water is rising at feet per minute.
Wilson's Auto, Inc., has 37 employees and a weekly payroll of $10,878. If each employee makes the same amount, how much does each make?
How can you represent a pedigree for a mixed breed of dog (a Schnoodle, for example) using set theory? Create (describe) a Venn diagram and a numeric sentence to describe the set.
alice and bob want to agree on a shared secret key using the diffie-hellman protocol. they decide to use 11 as the
What the traffic flow pattern is like before any street closures. Whether the remaining network will be able to handle the traffic flow if the planned street closures are carried out
A set A is call a partially-ordered set if there is a relation R on A such that R is reflexive and transitive. If A is any set, prove that the power set P(A) is a partially ordered set under the relation "is a subset of".
to determine the number of deer in a game preserve, a conservatioist catches 569 deer, tags them and lets them loose. Later, 400 deer are caught; 200 of them are tagged. How many deer are in the preserve?
The base of an aquarium with volume V = 220 is made of slate and the sides are made of glass. If slate costs five times as much (per unit area) as glass, find the dimensions of the aquarium that minimize the cost of the materials.
How many employees by type does the clinic currently need? How many employees by type will the clinic need if it signs the contract for pre-employment physicals
A bookstore placed an order for 2000 copies of Harry Potter and the Deathly Hallows, the seventh and final volume in the hugely popular Harry Potter series.
Find a vector function whose graph is the curve of intersection of the elliptical cylinder (1/9)x^2 + z^2 = 1 and the parabolic cylinder y = x^2.
In a recent study of 92 eighth graders, the mean number of hours per week that they watched television was 22.6. Assume the population standard deviation.
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