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In an experiment, a 5-kg mass is suspended from a spring. The displacement of the spring-mass equilibrium from the spring equilibrium is measured to be 75 cm. The mass is then displaced 36 cm upward from its spring-mass equilibrium and then given a sharp downward tap, imparting an instantaneous downward velocity of 0.45 m/s. Set up (but do not solve) the initial value problem that models this experiment. Assume no damping is present.
What is the probability that a plain pencil from the first box and a color pencil from the second box are selected? Write your answer as a fraction in simplest form.
With the resulting matrix from part (a), add column 1 to column 2, then add this new column 2 to column 3, and so on, and explain why this does not change the determinant.
Write down the Green's function G0(ω) for free propagation of the boson. What is the potential in real space? Give a physical interpretation of the potential
the distance from a college to a students home follows a right skewed distribution with a mean if 15 miles and a
A rancher wants to fence in a rectangular area of 124416 square feet and then divide the enclosed area in half with a fence down the middle parallel to one side. What is the shortest length of fence that the rancher can use?
Show that the following quadrature formula has degree of precision equal to 3, -1∫1 f(x) dx = f(-√3 / 3) + f( -√3 / 3).
A lumbar spine specimen from L1 to L3 is tested under a flexion moment with L3 fixed and L1 and L2 free to move. Using the values given below calculate rotation about and translation along a helical axis for L1 and L2
the volume of a rectangular prism is 208 cm3. If the area of one end is 16 cm2, what is the lenght of the prism?
A ball is thrown vertically upward. After t seconds, its height h (in feet) is given by the function h(t)=88t-16t^2. What is the maximum height that the ball will reach?
However, the daily weather is given in the Celsius scale. Use the table to find a way to convert temperatures from the Celsius to the Fahrenheit scale.
Plot different members of the families y1=x2+C1 and y2=-x2+C2. Constuct a piece wise defined function- not a member of the previous two- which is also a solution of the same DE.
Ace Industries has current assets equal to $3 million. The company's current ratio is 1.5, and its quick ratio is 1.0. What is the firm's level of current liabilities? What is the firm's level of inventories?
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