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):
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
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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):](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F40b5c3e8-aff6-4ca8-9440-ec653335db80%2F9d8ede76-0bba-4f4c-aa39-314460d4366e%2F2dhh8th_processed.png&w=3840&q=75)
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):
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