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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Question
![Price-Demand The market research department of a supermarket chain has de-
termined that, for one store, the marginal price p'(x) at x tubes per week for a
certain brand of toothpaste is given by
p'(x)
= -0.015e 0.01 x
Find the price-demand equation if the weekly demand is 50 tubes when the price
of a tube is $4.35. Find the weekly demand when the price of a tube is $3.89.
Problems 1–8 refer to the following graph of y = f(x). Identi fy
the points or intervals on the x axis that produce the indicated
behavior.
%3D
1. (x) is increasing.
2. f'(x) < 0
3. The graph of fis concave downward.
fx)
C2
CA
C5
C6
C7
a
Figure for 1-8
5. Absolute maxima
4. Local minima
7. f'(x) does not exist.
6. f'(x) appears to be 0.
8. Inflection points](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7c7b14be-49be-4193-952a-a6d3f4a18290%2Fc75bd5df-a1f8-4330-974f-3d7d270e4632%2Fbvdjwb_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Price-Demand The market research department of a supermarket chain has de-
termined that, for one store, the marginal price p'(x) at x tubes per week for a
certain brand of toothpaste is given by
p'(x)
= -0.015e 0.01 x
Find the price-demand equation if the weekly demand is 50 tubes when the price
of a tube is $4.35. Find the weekly demand when the price of a tube is $3.89.
Problems 1–8 refer to the following graph of y = f(x). Identi fy
the points or intervals on the x axis that produce the indicated
behavior.
%3D
1. (x) is increasing.
2. f'(x) < 0
3. The graph of fis concave downward.
fx)
C2
CA
C5
C6
C7
a
Figure for 1-8
5. Absolute maxima
4. Local minima
7. f'(x) does not exist.
6. f'(x) appears to be 0.
8. Inflection points
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