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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.
There are 3 suspects, A, B, and C, for a robbery that presumably happened in a shop. We know that the following facts are true:
Use the binomial series to expand the function as a power series. Find the radius of convergence :
6. 23% of the seniors at a high school failed pre-calculus. If 1138 students failed pre-calculus, how many seniors are at this high school?
In planning for a major redesign, Beth collected data at her store on several consecutive Saturday mornings. She noticed that customers arrived at the checkout at a rate of approximately 100 per hour. Fully 20 percent of the customers had 10 items..
There are 45 participants in the triathlon. The first three finishers will receive prizes. How many ways can the three prizes be given?
Test hypothesis for variance.
Please provide your own real-world example from your work or life using the slope and y-intercept. What are the slope and y-intercept in your example?
Show that these topologies are the same and What is the resulting space and identify the familiar quotient space given by this relation and then show precisely that the quotient topology on this space is the same as the usual one.
A market research organization has found that 40 percent of all supermarket shoppers refuse to cooperate when questioned by its pollsters. If 1,000 shoppers are approached, Find the probability that fewer than 500 will refuse to cooperate?
Do you always use the distributive property when multiplying monomials and polynomials? Explain why or why not. In what situations would distribution become important?
Let f be a surjection. Then f is an isomorphism iff the order of the element f(a) is equal to the order of the element a , for all a belong to G.
Let F be a field, let R be a ring with more than one element, and let phi:F->R be a surjective homomorphism.
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