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Train A, traveling 70 miles per hour (mph), leaves Westford heading toward Eastford, 260 miles away. At the same time Train B, traveling 60 mph, leaves Eastford heading toward Westford. When do the two trains meet? How far from each city do they meet?
Ever since Euclid proved that there is no largest prime number, mathematicians have spent a lot of time and energy searching for massive prime numbers. What is a prime number
Factorize the given expression - Evaluate the perfect square
A person deposited 500dollars in a savings account that pays 5% annual interest that is compound yearly. at the end of 10 years, how much money will be join the savings account.
Obtain a relation for the variation of temperature in the wall by solving the differential equation. Evaluate the temperatures at the inner and outer surfaces of the wall
a metal storage tank with volume 1000 ft^3 is to be contructed in the shape of a right cylinder surmounted by a hemisphere. what dimensions will require the least amount of metal?
Let R be the set of all real numbers of the form a + b √3, where a and b are rational numbers. Show that every nonzero element of R has a multiplicative inverse and use the result of exercise 27 in Section 8.4 to conclude that R is a field.
Mr. Bell invested some money at 5% APR and twice as much at 6%. If his total annual interest was $255, how much was invested at each rate?
Consider the Poisson equation uxx = f on the interval (0,1) subject to the boundary conditions ux(0) = α (Neumann), and u(1)= β (Dirichlet). Find the solution using Green's Function approach.
Find an equation for the material surface for t > 0 and show that its "volume" (i.e., area) is conserved. What property of the velocity guarantees that the volume must be conserved?
What are the asymptotes?
find the probability that among six companies surveyed at random, the number that give employees 4 weeks of vacation after 15 years of employment is anywhere from 2 to 5.
Prove the quotient rule. Hint: you can do this directly, but it may be easier to find the derivative of 1/x and then use the chain rule and the product rule.
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