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Differential equation:
A mass weighing 4 lb stretches a spring 1.5 in. the mass is displaced 2 in. in the positive direction form its equilibrium position and released with no initial velocity. assuming that there is no damping and that the has is aced on by an external force of 2 cos3t lb, formulate the initial value problem describing the most ion of the mass.
How many 3-letter code words are possible using the first 10 letters of the alphabet if a) no letter can repeated, b) letters can be repeated, c) adjacent letters cannot be the same?
Evaluate the exact value of the trigonometric functions - Use common trigonometric identities for the functions given to find the indicated trigonometric functions.
Among the N = 18 doctors in a healthcare group, A=7 of them are board certified. A team of n= 4 doctors is going to be selected at random to staff a new clinic. Use X to represent the number of doctors selected into the team who are board certifie..
A volcano fills the volume between the graphs z=0 and z=1/(x^2+y^2)^9 and outside the cylinder x^2+y^2=1. Find the volume of the volcano.
In your own words, explain the difference between intersecting and perpendicular lines. Can two lines exist that are not intersecting or parallel? Explain your answer.
F ind the probability that the mean of the number of hours they watch television will be greater than 27.3 hours. Give your answer to 2 decimal places.
You have just graduated from college, and you have started your first big project at your new job. Your boss informs you that you are responsible for the Equations and Inequalities section of the project and for presenting your ideas to the team.
Utilize the table below to evaluate the various credit card offers. It is possible that not all information is available for all cards.
Find a matrix A that admits no LU decomposition, even if we only require that L is lower triangular ( not necessarily unit!) and U is upper triangular.
Explain the importance of Euclid's parallel postulate in the development of hyperbolic and spherical geometry.
Assume S is a subset of the complex number set. Please make the explanations clear and give examples.
specify the sequence of transformations that will yield the graph of the given function from the graph of f(x) =x^3
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