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Question: The theory of relativity predicts that an object whose mass is m0 when it is at rest will appear heavier when moving at speeds near the speed of light. When the object is moving at speed v, its mass m is given by
Where c is the speed of light.
(a) Find dm/dv.
(b) In terms of physics, what does dm/dv tell you?
A meteorologist sketched the path of the jet stream on a map of the northern United States and southern Canada on which all latitudes were parallel.
Set up appropriate systems of two linear equations and solve the systems algebraically. All data are accurate to at least two significant digits.
In parts (a)-(d), let U be the matrix formed by normalizing each column of the matrix A in Exercise.
In triangle ABC, a = 8, b = 9, and m<C = 135 degree. What is the area of triangle ABC?
In a bag are three red marbles and three green marbles. I
A soup bowl can be modeled as a solid of revolution formed by revolving the graph of y=(x/2)^0.5+1,0≤x≤4,about the x-axis. Use this model, where x and y are measured in inches, to find the volume of the soup bowl.
Do you think that ithe current level of government regulations too high or too low? Do you generally support a laissez-faire approach to regulation.
The list price of an iPod speaker is $67.50. It is on sale for 20% off, and there is a 6% sales tax. The store calculates the sales tax on $67.50, and then takes 20% off the total. Jonathan wants them to take the discount first and then calculate the..
Write an equation representing the amount of money the class will make based on the number of tons of newspapers collected.
Maria spends $18 on lottery tickets every week and spends $140 per month on food. On an annual basis, the money spent on lottery tickets is what % of the money spent to buy food.
With a yearly inflation rate of 7%, prices are given by P=p(1.05)^t, where p is the price in dollars when t=0 and t is the time in years. Suppose p=1. How fast (in cents/ year) are prices rising when t=12?
What is the difference between inequality of incomes and inequality of "capabilities"? How are the two related? Which one do you think deserves more attention from policymakers?
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