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1. A country has 120 years of iron reserves at the current rate of consumption. Suppose that the demand for iron in the country is

1. A country has 120 years of iron reserves at the current rate of consumption. Suppose that the demand for iron in the country is 6,000,000 tons per year. Furthermore the iron is consumed at a rate that increases 6.1% per year. (a) How long will the iron reserves last? (b) Suppose a recent discovery has doubled the quantity of iron reserves. Now how long will the iron reserves last? 2. Use Newton's method to approximate a root of the equation cos(x2+3)=x3 Let x1=2x1=2 be the initial approximation. The second approximation x2 is? 3. Let f(x)=8x2/(x-8) . f(x) is decreasing on the intervals? 4. f(x)=xexp(7x ) . 2 Find Smaller and larger critical Point

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