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The land area of a country is about 5.5 million square? miles, and the population is about 600 million people. What is the average population? density?
Find the value of theta that maximizes g(theta) and find the maximum value. Write the directional derivative at P as a function of theta; call this function g(theta).
A survey by the pwe research center ( snapshots: goals of Gen Next Vs. Gen X, USA today, March 27, 2007, P. 1A) indicated that 81% of 18_ to 25_ year _ olds had getting rich as a goal, as compared to 62% of 26_ of 40_ year_ olds. suppose that ..
Assume you are evaluating the purchase of one of two bonds. Bond A is a municipal bond with a yield to maturity of 5.75 percent.
A train is heading due west from St. Louis. At noon, a plane flying horizontally due north at a fixed altitude of 4 miles passes directly over the train.
A cantilever beam of length l carrying a distributed load varies uniformly from zero at the free end to w per unit run at the fixed end. Find the slope and downward deflection of the free end B.
In Exercises, find the angle between the given pairs of n-vectors and the unit n-vector associated with each vector.
At the end of t years, the future value of an investment of $9000 in an account that pays 9% APR compounded monthly is 9000(1+.09/12)12t dollars. Assuming no withdrawals or additional deposits,
Flying against the jetstream, a jet travels 4550km in 7 hours. Flying with the jetstream, the same jet travels 5340km in 6 hours. What is the speed of the jet in still air, and what is the speed of the jetstream?
Using your technology, compute A5 and use it to ?nd u5 and y5.4. Explain why A is diagonalizable. Find (by hand) a matrix P and a diagonal matrix D for which A = PDP-1. Use your technology to calculate D10, and use it to ?nd A10, u10, and y10. Con?rm..
What would your monthly savings have to be (how much would you have to deposit into the account each month) to achieve this goal? You may use trial-and-error in Excel or find the algebraic solution with Maple or by hand to obtain your answer.
A study of freeway flow at a particular site has resulted in a flow-density relationship.
A functional relationship between x and y such that y is a function of x is defined by a rule such that for every x there exists a unique y.Functions seem like they have a language of their own.
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