International Ecology—India CO2 Emissions: One country that has been aware of its increasing emission of fossil fuel emissions is India. “India’s carbon dioxide emissions will increase by nearly three-fold to 3200 million metric tons by 2030,” according to an economic survey that has been tabled in Parliament. (Source: The Hindu News.) The amount of carbon dioxide emissions from fossil fuels in India from 1990 to 2011 can be modeled by
f(x) = 0.91x2 + 28x + 629.6 0 ≤ x ≤ 21
where x represents the number of years since 1990 and f(x) represents the amount of carbon dioxide emissions emitted annually, measured in millions of metric tons. (Source: The International Energy Statistics Database.)
(a) According to the model, is the 2030 estimate for CO2 emissions accurate?
(b) Determine the derivative f′(x).
(c) Write the equation of the tangent line of f when x = 20.
(d) Find the y-value on the tangent line when x = 40. Explain what this value means in terms of the CO2 emissions.
We need at least 10 more requests to produce the solution.
0 / 10 have requested this problem solution
The more requests, the faster the answer.