The following table gives the the approximate amount of emissions, E, of nitrogen oxides in millions of metric tons per year in the US. Let t be the number of years since 1940 and E=f(t).   t 1940 1950 1960 1970 1980 1990 E 7 9.8 13.2 18.1 20.5 19.6 (a) Using left endpoints, estimate the integral: ∫50 0 f(t)dt≈? (b) Using right endpoints, estimate the integral: ∫50 0 f(t)dt≈? please answer ASAP and write neatly please  Thank You.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.4: Total Differentials And Approximations
Problem 9E: Use the total differential to approximate each quantity. Then use a calculator to approximate the...
icon
Related questions
Question

The following table gives the the approximate amount of emissions, E, of nitrogen oxides in millions of metric tons per year in the US. Let t be the number of years since 1940 and E=f(t).

 

t 1940 1950 1960 1970 1980 1990
E 7 9.8 13.2 18.1 20.5 19.6

(a) Using left endpoints, estimate the integral:
∫50 0 f(t)dt≈?

(b) Using right endpoints, estimate the integral:
∫50 0 f(t)dt≈?

please answer ASAP and write neatly please 

Thank You. 

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps

Blurred answer
Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question

The answer is not shown for the 2

Solution
Bartleby Expert
SEE SOLUTION
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning