The per capita consumption of breakfast cereal in the US has the following model that appears above C( t ) = −0.0031ť³ + 0.12t² – 0.354t + 11.5 pounds, where t is the number of years since 1990. Decide whether the rate of consumption was changing more rapidly in 2003 or 2007. (13) = lbs/year C'(17) = lbs/year The rate was changing more rapidly in 2003 2007.
The per capita consumption of breakfast cereal in the US has the following model that appears above C( t ) = −0.0031ť³ + 0.12t² – 0.354t + 11.5 pounds, where t is the number of years since 1990. Decide whether the rate of consumption was changing more rapidly in 2003 or 2007. (13) = lbs/year C'(17) = lbs/year The rate was changing more rapidly in 2003 2007.
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 3CC: If xis large, which function grows faster, f(x)=2x or g(x)=x2?
Related questions
Question
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The per capita consumption of breakfast cereal in the US has the following model that appears above
C(t) = −0.0031ť³ + 0.12t² – 0.354t + 11.5 pounds, where t is the number of years since 1990.
Decide whether the rate of consumption was changing more rapidly in 2003 or 2007.
C'(13) =
lbs/year
lbs/year
C'(17) =
The rate was changing more rapidly in 2003 2007.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F14091e10-ee9c-4802-b3a9-c5244b7b11bc%2F5c1551b1-0cb6-41ca-a39d-24545a173d04%2Fy591ndq_processed.png&w=3840&q=75)
Transcribed Image Text:30
28-
26
24-
22
20-
18
16
14
12
10
2 4
10 12
16 18 20 22
The per capita consumption of breakfast cereal in the US has the following model that appears above
C(t) = −0.0031ť³ + 0.12t² – 0.354t + 11.5 pounds, where t is the number of years since 1990.
Decide whether the rate of consumption was changing more rapidly in 2003 or 2007.
C'(13) =
lbs/year
lbs/year
C'(17) =
The rate was changing more rapidly in 2003 2007.
![Let
f(x)
=
- 3x³ - 3x
4
Use the limit definition of the derivative to calculate the derivative of f:
ƒ'(x) =
Use the same formula from above to calculate the derivative of this new function (i.e. the second derivative
of f):
ƒ''(x) =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F14091e10-ee9c-4802-b3a9-c5244b7b11bc%2F5c1551b1-0cb6-41ca-a39d-24545a173d04%2Fbfxcspli_processed.png&w=3840&q=75)
Transcribed Image Text:Let
f(x)
=
- 3x³ - 3x
4
Use the limit definition of the derivative to calculate the derivative of f:
ƒ'(x) =
Use the same formula from above to calculate the derivative of this new function (i.e. the second derivative
of f):
ƒ''(x) =
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