The consumption of tungsten​ (in metric​ tons) in a country is given approximately by ​p(t)= 138t2 + 1,079t + 14,910​. where t is time in years and t=0 corresponds to 2010.   ​(A) Use the​ four-step process to find p′(t)=  ​(B) Find the annual consumption in 2030........metric tons. ​(Simplify your​ answer.) and the instantaneous rate of change of consumption in .........2030​,​(Simplify your​ answer.) and write a brief verbal interpretation of these results.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 29PT: A radiation safety officer is working with 112 grams of a radioactive substance. After 17 days,...
icon
Related questions
Question
The consumption of tungsten​ (in metric​ tons) in a country is given approximately by
​p(t)= 138t2 + 1,079t + 14,910​.
where t is time in years and t=0 corresponds to 2010.
 
​(A) Use the​ four-step process to find
p′(t)= 
​(B) Find the annual consumption in
2030........metric tons.
​(Simplify your​ answer.)
and the instantaneous rate of change of consumption in
.........2030​,​(Simplify your​ answer.)
and write a brief verbal interpretation of these results.
In
2030​........metric tons of tungsten are consumed and this quantity is decreasing or increasing at the rate of
.....metric tons per year.
​(Simplify your​ answers.)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
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