Posted by **Jane** on Monday, December 6, 2010 at 11:41pm.

assume the rate at which the world's oil is being consumed is

r = 27 e^0.06 t.

Here, just as in your book, r is in billions of barrels per year, t is in years, and t = 0 is January 1, 1990.

(a) Fill in the blanks below to express the definite integral which measures the total quantity of oil used between the start of 1990 and the start of 1996:

∫ab dt,

where a = and b = .

(b) Use the Fundamental Theorem of Calculus to evaluate the integral.

Answer: billion barrels.

## Answer This Question

## Related Questions

- Calculus - According to the US Census, the world population P, in billions, is ...
- geography - What is the significance of this and what are the consquences. I don...
- Economics - What is the significance of this and what are the consquences. I ...
- economics - What is the significance of this and what are the consquences. I don...
- Math - Based on a preliminary report by a geological survey team, it is ...
- Calculus II - For some constants A and B, the rate of production, R(t), of oil ...
- Corporate Finance - You can insulate your home for $7,200. You figure you can ...
- math - An oil company operates two Southern refineries. The Alabama facility ...
- Chemistry - The estimated proven world oil reserves in 2013 were 1526 billion ...
- Vba - I'm trying to write a sub that asks how much oil I made, and then gives me...

More Related Questions