4) Let x = the years after Jan 1, 2000; Let y = f(x) = 50000+1200x² be the size of a town in year x in people; Let z = g(y) = 100*In(y) be the amount of electricity used in Gigawatts by a town of y people. Describe 2021: USE CORRECT UNITS! x- y= z= In year 2021, dy/dx = ? (write a sentence too) In 2021, dz/dy = ? (write a sentence too) In 2021, dz/dx = ? (write a sentence too)( use the 2 answers immediately above) Show the composition z = h(x) and find its derivative in 2021 using the chain rule ( get the same answer as above):

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 16EQ
icon
Related questions
Question
4) Let x = the years after Jan 1, 2000; Let y = f(x) = 50000+1200x² be the size of a town in year
x in people; Let z= g(y) = 100*In(y) be the amount of electricity used in Gigawatts by a town of
y people. Describe 2021: USE CORRECT UNITS!
X=
y=
z=
In year 2021, dy/dx = ? (write a sentence too)
In 2021, dz/dy = ? (write a sentence too)
In 2021, dz/dx = ? (write a sentence too)( use the 2 answers immediately above)
Show the composition z = h(x) and find its derivative in 2021 using the chain rule ( get the same
answer as above):
Transcribed Image Text:4) Let x = the years after Jan 1, 2000; Let y = f(x) = 50000+1200x² be the size of a town in year x in people; Let z= g(y) = 100*In(y) be the amount of electricity used in Gigawatts by a town of y people. Describe 2021: USE CORRECT UNITS! X= y= z= In year 2021, dy/dx = ? (write a sentence too) In 2021, dz/dy = ? (write a sentence too) In 2021, dz/dx = ? (write a sentence too)( use the 2 answers immediately above) Show the composition z = h(x) and find its derivative in 2021 using the chain rule ( get the same answer as above):
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Cylinders and Cones
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
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
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
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,