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.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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.
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) =
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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