1. ALTERNATIVE ENERGY SOURCES Because of the increasingly important role played by coal as a viable alternative energy source, the production of coal has been growing at the rate of f(t) = 3.5e0.05t billion metric tons/year, t years from 1980 (which corresponds to t = 0). Had it not been for the energy crisis, the rate of production of coal since 1

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1. ALTERNATIVE ENERGY SOURCES Because of the increasingly important role played by coal as a viable alternative energy source, the production of coal has been growing at the rate of f(t) = 3.5e0.05t billion metric tons/year, t years from 1980 (which corresponds to t = 0). Had it not been for the energy crisis, the rate of production of coal since 1980 might have been only g(t) = 3.5e0.01t billion metric tons/year, t years from 1980. Determine how much additional coal was produced between 1980 and 2000 as an alternative energy source. 10 0 f(x) = 3.5e0.05x →g(x)=3,5e0.9₁ 20 Complete the problem (SHOW WORK): (²0 (3.5e0.05x 3.5e0.0¹x) dx

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4. ALTERNATIVE ENERGY SOUACES Because of the increasingly important role played by coal as a viable alternative energy source, the production of coal has been growing at the rate of

f (t) = 3.5 e^{0.05 t}

billion metric tons/year,

t

years from 1980 (which corresponds to

t = 0

). Had it not been for the energy crisis, the rate of production of coal since 1980 might have been only

g (t) = 3.5 e^{0.01 t}

billion metrio tonsyear,

t

years from 1980. Determine how much additional coal was produced between 1980 and 2000 as an alternative energy source. Complete the problem (SHOW WORK):

\int_{0}^{20} (3.5 e^{0.05 x} - 3.5 e^{0.01 x}) d x

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