Chapter 3.7, Problem 33E
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Single Variable Calculus: Early Tr...
8th Edition
James Stewart
ISBN: 9781305270343
Solutions
Chapter
Section
BuyFindarrow_forward
Single Variable Calculus: Early Tr...
8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem
If p(x) is the total value of the production when there are x workers in a plant, then the average productivity of the workforce at the plant is
(a) Find A′(x). Why does the company want to hire more workers if A′(x) > 0?
(b) Show that A′(x) > 0 if p′(x) is greater than the average productivity.
(a)
To determine
To find: The value of
Explanation
Given:
The average productivity of the workforce at the plant is shown below with an equation.
Calculation:
Calculate the value of
Differentiate equation (1) with respect to
Apply the quotient rule below.
Substitute
(b)
To determine
To show: The condition
Chapter 3 Solutions
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Intermediate Algebra
Graphing Polar Equations Use a graphing utility to graph the polar equation r=cos5+ncos for 0 and for the integ...
Calculus: Early Transcendental Functions (MindTap Course List)
Finding and Checking an Integral In Exercises 69-74, (a) integrate to find F as a function of x, and (b) demons...
Calculus of a Single Variable
Prove the identity. 54. sin2x sin2y = sin(x + y) sin(x y)
Single Variable Calculus: Early Transcendentals
Verify that each point lies on the graph of the unit circle. (23,53)
Trigonometry (MindTap Course List)
True or False Label each of the following statements as either true or false. 5. The set of all integers is wel...
Elements Of Modern Algebra
Evaluate 6 8 24 30
Study Guide for Stewart's Multivariable Calculus, 8th
The graph of x = 2 + 3t, y = 4 − t is a: circle ellipse line parabola
Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th
In Exercise 35-38, let A, B, and C be subset of a universal set U And suppose n(U)=100, n(A)=28, n(B)=30, n(C)=...
Finite Mathematics for the Managerial, Life, and Social Sciences
Prove: If ab=cd where b0 and d0, then a+bb=c+dd.
Elementary Geometry for College Students
Graphing a Parametric Surface In Exercises 1316, use a computer algebra system to graph the surface represented...
Calculus (MindTap Course List)
Finding the Principal Unit Normal Vector In Exercises 47-50, find the principal unit normal vector to the curse...
Multivariable Calculus
Given the cutting speed and the tool or workpiece diameter, determine the revolutions per minute in the followi...
Mathematics For Machine Technology
Define induction and deduction and explain the role of each in the scientific method.
Research Methods for the Behavioral Sciences (MindTap Course List)
Fowle Marketing Research, Inc., bases charges to a client on the assumption that telephone surveys can be compl...
STATISTICS F/BUSINESS+ECONOMICS-TEXT
A financial manager made two new investmentsone in the oil industry and one in municipal bonds. After a one-yea...
Statistics for Business & Economics, Revised (MindTap Course List)
Getting Ready You should be able to complete these vocabulary and concept statements before you proceed to the ...
College Algebra (MindTap Course List)
Explain how a correlation describes the direction, form, and strength of a relationship and identify these char...
Research Methods for the Behavioral Sciences (MindTap Course List)
The authors of the paper Influence of Biofeedback Weight Bearing Training in Sit to Stand to Sit and the Limits...
Introduction To Statistics And Data Analysis
