Business
Engineering
Math
Science
Social Science
Chapter 7.P, Problem 12P
BuyFindarrow_forward
Calculus (MindTap Course List)
8th Edition
James Stewart
ISBN: 9781285740621
BuyFindarrow_forward
Calculus (MindTap Course List)
8th Edition
James Stewart
ISBN: 9781285740621
Textbook Problem
1 views
Graph
To determine
To Find: The value of
Explanation
Calculation: The graph of the function is given below
From the graph it seems that when t is taken around 0, the area under the graph from t to t+1 will be maximum. So we guess that the maximum of the given integral shall occur when
Chapter 7 Solutions
Show all chapter solutions
addSect-7.1 P-1ESect-7.1 P-2ESect-7.1 P-3ESect-7.1 P-4ESect-7.1 P-5ESect-7.1 P-6ESect-7.1 P-7ESect-7.1 P-8ESect-7.1 P-9ESect-7.1 P-10E
Sect-7.1 P-11ESect-7.1 P-12ESect-7.1 P-13ESect-7.1 P-14ESect-7.1 P-15ESect-7.1 P-16ESect-7.1 P-17ESect-7.1 P-18ESect-7.1 P-19ESect-7.1 P-20ESect-7.1 P-21ESect-7.1 P-22ESect-7.1 P-23ESect-7.1 P-24ESect-7.1 P-25ESect-7.1 P-26ESect-7.1 P-27ESect-7.1 P-28ESect-7.1 P-29ESect-7.1 P-30ESect-7.1 P-31ESect-7.1 P-32ESect-7.1 P-33ESect-7.1 P-34ESect-7.1 P-35ESect-7.1 P-36ESect-7.1 P-37ESect-7.1 P-38ESect-7.1 P-39ESect-7.1 P-40ESect-7.1 P-41ESect-7.1 P-42ESect-7.1 P-43ESect-7.1 P-44ESect-7.1 P-45ESect-7.1 P-46ESect-7.1 P-47ESect-7.1 P-48ESect-7.1 P-49ESect-7.1 P-50ESect-7.1 P-51ESect-7.1 P-52ESect-7.1 P-53ESect-7.1 P-54ESect-7.1 P-55ESect-7.1 P-56ESect-7.1 P-57ESect-7.1 P-58ESect-7.1 P-59ESect-7.1 P-60ESect-7.1 P-61ESect-7.1 P-62ESect-7.1 P-63ESect-7.1 P-64ESect-7.1 P-65ESect-7.1 P-66ESect-7.1 P-67ESect-7.1 P-68ESect-7.1 P-69ESect-7.1 P-70ESect-7.1 P-71ESect-7.1 P-72ESect-7.1 P-73ESect-7.1 P-74ESect-7.2 P-1ESect-7.2 P-2ESect-7.2 P-3ESect-7.2 P-4ESect-7.2 P-5ESect-7.2 P-6ESect-7.2 P-7ESect-7.2 P-8ESect-7.2 P-9ESect-7.2 P-10ESect-7.2 P-11ESect-7.2 P-12ESect-7.2 P-13ESect-7.2 P-14ESect-7.2 P-15ESect-7.2 P-16ESect-7.2 P-17ESect-7.2 P-18ESect-7.2 P-19ESect-7.2 P-20ESect-7.2 P-21ESect-7.2 P-22ESect-7.2 P-23ESect-7.2 P-24ESect-7.2 P-25ESect-7.2 P-26ESect-7.2 P-27ESect-7.2 P-28ESect-7.2 P-29ESect-7.2 P-30ESect-7.2 P-31ESect-7.2 P-32ESect-7.2 P-33ESect-7.2 P-34ESect-7.2 P-35ESect-7.2 P-36ESect-7.2 P-37ESect-7.2 P-38ESect-7.2 P-39ESect-7.2 P-40ESect-7.2 P-41ESect-7.2 P-42ESect-7.2 P-43ESect-7.2 P-44ESect-7.2 P-45ESect-7.2 P-46ESect-7.2 P-47ESect-7.2 P-48ESect-7.2 P-49ESect-7.2 P-50ESect-7.2 P-51ESect-7.2 P-52ESect-7.2 P-53ESect-7.2 P-54ESect-7.2 P-55ESect-7.2 P-56ESect-7.2 P-57ESect-7.2 P-58ESect-7.2 P-59ESect-7.2 P-60ESect-7.2 P-61ESect-7.2 P-62ESect-7.2 P-63ESect-7.2 P-64ESect-7.2 P-65ESect-7.2 P-66ESect-7.2 P-67ESect-7.2 P-68ESect-7.2 P-69ESect-7.2 P-70ESect-7.3 P-1ESect-7.3 P-2ESect-7.3 P-3ESect-7.3 P-4ESect-7.3 P-5ESect-7.3 P-6ESect-7.3 P-7ESect-7.3 P-8ESect-7.3 P-9ESect-7.3 P-10ESect-7.3 P-11ESect-7.3 P-12ESect-7.3 P-13ESect-7.3 P-14ESect-7.3 P-15ESect-7.3 P-16ESect-7.3 P-17ESect-7.3 P-18ESect-7.3 P-19ESect-7.3 P-20ESect-7.3 P-21ESect-7.3 P-22ESect-7.3 P-23ESect-7.3 P-24ESect-7.3 P-25ESect-7.3 P-26ESect-7.3 P-27ESect-7.3 P-28ESect-7.3 P-29ESect-7.3 P-30ESect-7.3 P-31ESect-7.3 P-32ESect-7.3 P-33ESect-7.3 P-34ESect-7.3 P-35ESect-7.3 P-36ESect-7.3 P-37ESect-7.3 P-38ESect-7.3 P-39ESect-7.3 P-40ESect-7.3 P-41ESect-7.3 P-42ESect-7.3 P-43ESect-7.3 P-44ESect-7.4 P-1ESect-7.4 P-2ESect-7.4 P-3ESect-7.4 P-4ESect-7.4 P-5ESect-7.4 P-6ESect-7.4 P-7ESect-7.4 P-8ESect-7.4 P-9ESect-7.4 P-10ESect-7.4 P-11ESect-7.4 P-12ESect-7.4 P-13ESect-7.4 P-14ESect-7.4 P-15ESect-7.4 P-16ESect-7.4 P-17ESect-7.4 P-18ESect-7.4 P-19ESect-7.4 P-20ESect-7.4 P-21ESect-7.4 P-22ESect-7.4 P-23ESect-7.4 P-24ESect-7.4 P-25ESect-7.4 P-26ESect-7.4 P-27ESect-7.4 P-28ESect-7.4 P-29ESect-7.4 P-30ESect-7.4 P-31ESect-7.4 P-32ESect-7.4 P-33ESect-7.4 P-34ESect-7.4 P-35ESect-7.4 P-36ESect-7.4 P-37ESect-7.4 P-38ESect-7.4 P-39ESect-7.4 P-40ESect-7.4 P-41ESect-7.4 P-42ESect-7.4 P-43ESect-7.4 P-44ESect-7.4 P-45ESect-7.4 P-46ESect-7.4 P-47ESect-7.4 P-48ESect-7.4 P-49ESect-7.4 P-50ESect-7.4 P-51ESect-7.4 P-52ESect-7.4 P-53ESect-7.4 P-54ESect-7.4 P-55ESect-7.4 P-56ESect-7.4 P-57ESect-7.4 P-58ESect-7.4 P-59ESect-7.4 P-60ESect-7.4 P-61ESect-7.4 P-62ESect-7.4 P-63ESect-7.4 P-64ESect-7.4 P-65ESect-7.4 P-66ESect-7.4 P-67ESect-7.4 P-68ESect-7.4 P-69ESect-7.4 P-70ESect-7.4 P-71ESect-7.4 P-72ESect-7.4 P-73ESect-7.4 P-74ESect-7.4 P-75ESect-7.5 P-1ESect-7.5 P-2ESect-7.5 P-3ESect-7.5 P-4ESect-7.5 P-5ESect-7.5 P-6ESect-7.5 P-7ESect-7.5 P-8ESect-7.5 P-9ESect-7.5 P-10ESect-7.5 P-11ESect-7.5 P-12ESect-7.5 P-13ESect-7.5 P-14ESect-7.5 P-15ESect-7.5 P-16ESect-7.5 P-17ESect-7.5 P-18ESect-7.5 P-19ESect-7.5 P-20ESect-7.5 P-21ESect-7.5 P-22ESect-7.5 P-23ESect-7.5 P-24ESect-7.5 P-25ESect-7.5 P-26ESect-7.5 P-27ESect-7.5 P-28ESect-7.5 P-29ESect-7.5 P-30ESect-7.5 P-31ESect-7.5 P-32ESect-7.5 P-33ESect-7.5 P-34ESect-7.5 P-35ESect-7.5 P-36ESect-7.5 P-37ESect-7.5 P-38ESect-7.5 P-39ESect-7.5 P-40ESect-7.5 P-41ESect-7.5 P-42ESect-7.5 P-43ESect-7.5 P-44ESect-7.5 P-45ESect-7.5 P-46ESect-7.5 P-47ESect-7.5 P-48ESect-7.5 P-49ESect-7.5 P-50ESect-7.5 P-51ESect-7.5 P-52ESect-7.5 P-53ESect-7.5 P-54ESect-7.5 P-55ESect-7.5 P-56ESect-7.5 P-57ESect-7.5 P-58ESect-7.5 P-59ESect-7.5 P-60ESect-7.5 P-61ESect-7.5 P-62ESect-7.5 P-63ESect-7.5 P-64ESect-7.5 P-65ESect-7.5 P-66ESect-7.5 P-67ESect-7.5 P-68ESect-7.5 P-69ESect-7.5 P-70ESect-7.5 P-71ESect-7.5 P-72ESect-7.5 P-73ESect-7.5 P-74ESect-7.5 P-75ESect-7.5 P-76ESect-7.5 P-77ESect-7.5 P-78ESect-7.5 P-79ESect-7.5 P-80ESect-7.5 P-81ESect-7.5 P-82ESect-7.5 P-83ESect-7.5 P-84ESect-7.6 P-1ESect-7.6 P-2ESect-7.6 P-3ESect-7.6 P-4ESect-7.6 P-5ESect-7.6 P-6ESect-7.6 P-7ESect-7.6 P-8ESect-7.6 P-9ESect-7.6 P-10ESect-7.6 P-11ESect-7.6 P-12ESect-7.6 P-13ESect-7.6 P-14ESect-7.6 P-15ESect-7.6 P-16ESect-7.6 P-17ESect-7.6 P-18ESect-7.6 P-19ESect-7.6 P-20ESect-7.6 P-21ESect-7.6 P-22ESect-7.6 P-23ESect-7.6 P-24ESect-7.6 P-25ESect-7.6 P-26ESect-7.6 P-27ESect-7.6 P-28ESect-7.6 P-29ESect-7.6 P-30ESect-7.6 P-31ESect-7.6 P-32ESect-7.6 P-33ESect-7.6 P-34ESect-7.6 P-35ESect-7.6 P-36ESect-7.6 P-37ESect-7.6 P-38ESect-7.6 P-39ESect-7.6 P-40ESect-7.6 P-41ESect-7.6 P-42ESect-7.6 P-43ESect-7.6 P-44ESect-7.6 P-45ESect-7.6 P-46ESect-7.7 P-1ESect-7.7 P-2ESect-7.7 P-3ESect-7.7 P-4ESect-7.7 P-5ESect-7.7 P-6ESect-7.7 P-7ESect-7.7 P-8ESect-7.7 P-9ESect-7.7 P-10ESect-7.7 P-11ESect-7.7 P-12ESect-7.7 P-13ESect-7.7 P-14ESect-7.7 P-15ESect-7.7 P-16ESect-7.7 P-17ESect-7.7 P-18ESect-7.7 P-19ESect-7.7 P-20ESect-7.7 P-21ESect-7.7 P-22ESect-7.7 P-23ESect-7.7 P-24ESect-7.7 P-25ESect-7.7 P-26ESect-7.7 P-27ESect-7.7 P-28ESect-7.7 P-29ESect-7.7 P-30ESect-7.7 P-31ESect-7.7 P-32ESect-7.7 P-33ESect-7.7 P-34ESect-7.7 P-35ESect-7.7 P-36ESect-7.7 P-37ESect-7.7 P-38ESect-7.7 P-39ESect-7.7 P-40ESect-7.7 P-41ESect-7.7 P-42ESect-7.7 P-43ESect-7.7 P-44ESect-7.7 P-45ESect-7.7 P-46ESect-7.7 P-47ESect-7.7 P-48ESect-7.7 P-49ESect-7.7 P-50ESect-7.8 P-1ESect-7.8 P-2ESect-7.8 P-3ESect-7.8 P-4ESect-7.8 P-5ESect-7.8 P-6ESect-7.8 P-7ESect-7.8 P-8ESect-7.8 P-9ESect-7.8 P-10ESect-7.8 P-11ESect-7.8 P-12ESect-7.8 P-13ESect-7.8 P-14ESect-7.8 P-15ESect-7.8 P-16ESect-7.8 P-17ESect-7.8 P-18ESect-7.8 P-19ESect-7.8 P-20ESect-7.8 P-21ESect-7.8 P-22ESect-7.8 P-23ESect-7.8 P-24ESect-7.8 P-25ESect-7.8 P-26ESect-7.8 P-27ESect-7.8 P-28ESect-7.8 P-29ESect-7.8 P-30ESect-7.8 P-31ESect-7.8 P-32ESect-7.8 P-33ESect-7.8 P-34ESect-7.8 P-35ESect-7.8 P-36ESect-7.8 P-37ESect-7.8 P-38ESect-7.8 P-39ESect-7.8 P-40ESect-7.8 P-41ESect-7.8 P-42ESect-7.8 P-43ESect-7.8 P-44ESect-7.8 P-45ESect-7.8 P-46ESect-7.8 P-47ESect-7.8 P-48ESect-7.8 P-49ESect-7.8 P-50ESect-7.8 P-51ESect-7.8 P-52ESect-7.8 P-53ESect-7.8 P-54ESect-7.8 P-55ESect-7.8 P-56ESect-7.8 P-57ESect-7.8 P-58ESect-7.8 P-59ESect-7.8 P-60ESect-7.8 P-61ESect-7.8 P-62ESect-7.8 P-63ESect-7.8 P-64ESect-7.8 P-65ESect-7.8 P-66ESect-7.8 P-67ESect-7.8 P-68ESect-7.8 P-69ESect-7.8 P-70ESect-7.8 P-71ESect-7.8 P-72ESect-7.8 P-73ESect-7.8 P-74ESect-7.8 P-75ESect-7.8 P-76ESect-7.8 P-77ESect-7.8 P-78ESect-7.8 P-79ESect-7.8 P-80ESect-7.8 P-81ESect-7.8 P-82ESect-7.R P-1CCSect-7.R P-2CCSect-7.R P-3CCSect-7.R P-4CCSect-7.R P-5CCSect-7.R P-6CCSect-7.R P-7CCSect-7.R P-8CCSect-7.R P-1TFQSect-7.R P-2TFQSect-7.R P-3TFQSect-7.R P-4TFQSect-7.R P-5TFQSect-7.R P-6TFQSect-7.R P-7TFQSect-7.R P-8TFQSect-7.R P-9TFQSect-7.R P-10TFQSect-7.R P-11TFQSect-7.R P-12TFQSect-7.R P-13TFQSect-7.R P-14TFQSect-7.R P-1ESect-7.R P-2ESect-7.R P-3ESect-7.R P-4ESect-7.R P-5ESect-7.R P-6ESect-7.R P-7ESect-7.R P-8ESect-7.R P-9ESect-7.R P-10ESect-7.R P-11ESect-7.R P-12ESect-7.R P-13ESect-7.R P-14ESect-7.R P-15ESect-7.R P-16ESect-7.R P-17ESect-7.R P-18ESect-7.R P-19ESect-7.R P-20ESect-7.R P-21ESect-7.R P-22ESect-7.R P-23ESect-7.R P-24ESect-7.R P-25ESect-7.R P-26ESect-7.R P-27ESect-7.R P-28ESect-7.R P-29ESect-7.R P-30ESect-7.R P-31ESect-7.R P-32ESect-7.R P-33ESect-7.R P-34ESect-7.R P-35ESect-7.R P-36ESect-7.R P-37ESect-7.R P-38ESect-7.R P-39ESect-7.R P-40ESect-7.R P-41ESect-7.R P-42ESect-7.R P-43ESect-7.R P-44ESect-7.R P-45ESect-7.R P-46ESect-7.R P-47ESect-7.R P-48ESect-7.R P-49ESect-7.R P-50ESect-7.R P-51ESect-7.R P-52ESect-7.R P-53ESect-7.R P-54ESect-7.R P-55ESect-7.R P-56ESect-7.R P-57ESect-7.R P-58ESect-7.R P-59ESect-7.R P-60ESect-7.R P-61ESect-7.R P-62ESect-7.R P-63ESect-7.R P-64ESect-7.R P-65ESect-7.R P-66ESect-7.R P-67ESect-7.R P-68ESect-7.R P-69ESect-7.R P-70ESect-7.R P-71ESect-7.R P-72ESect-7.R P-73ESect-7.R P-74ESect-7.R P-75ESect-7.R P-76ESect-7.R P-77ESect-7.R P-78ESect-7.R P-79ESect-7.R P-80ESect-7.P P-1PSect-7.P P-2PSect-7.P P-3PSect-7.P P-4PSect-7.P P-5PSect-7.P P-6PSect-7.P P-7PSect-7.P P-8PSect-7.P P-9PSect-7.P P-10PSect-7.P P-11PSect-7.P P-12PSect-7.P P-13PSect-7.P P-14PSect-7.P P-15PSect-7.P P-16P
Additional Math Solutions
Find more solutions based on key concepts
Show solutions addFraming a Painting Ali paints with watercolors on a sheet of paper 20 in. wide by 15 in. high. He then places t...
Precalculus: Mathematics for Calculus (Standalone Book)
Evaluate the integral. 19.01x2+x+1(x+1)2(x+2)dx
Calculus: Early Transcendentals
Solve the equations in Exercises 126. (x+1)(x+2)+(x+1)(x+3)=0
Applied Calculus
Find the radius of convergence and interval of convergence of the series. 3. n=1(1)nnxn
Multivariable Calculus
Determining Conditions Determine conditions on the constants a. b. and c such that the graph of (x) f(x)=ax+bcx...
Calculus: Early Transcendental Functions
Finding Derivatives In Exercises 1-24, find the derivative of the function. See Examples 1, 2, 4, 5, and 8. g(x...
Calculus: An Applied Approach (MindTap Course List)
Evaluate the integral by interpreting it in terms of areas. 55(x=25x2)dx
Single Variable Calculus: Early Transcendentals, Volume I
Solve the equations in Exercises 112 for x (mentally, if possible). x+5=0
Finite Mathematics and Applied Calculus (MindTap Course List)
SW A large counseling center needs to evaluate several experimental programs. Write a paragraph summarizing the...
Essentials Of Statistics
The following table shows four rows from a frequency distribution table for a sample of n = 25 scores. Use inte...
Statistics for The Behavioral Sciences (MindTap Course List)
One sample has a mean of M 6 anti h second sample has a mean of M 12. The two samples are combined into a sin...
Essentials of Statistics for The Behavioral Sciences (MindTap Course List)
Prove the statement using the precise definition of a limit. 42. limx0x3=0
Single Variable Calculus
In Exercises 1-8, use the graph of the given function f to determine limxaf(x) at the indicated value of a, if ...
Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach
Convert each expression in Exercises 25-50 into its technology formula equivalent as in the table in the text. ...
Finite Mathematics
Expand Your Knowledge: Linear Functions and Combinations of Independent Random Variables: Insurance Risk Insura...
Understanding Basic Statistics
In Problems 5-10, use integration to find the general solution to each differential equation.
Mathematical Applications for the Management, Life, and Social Sciences
Gasoline Prices The following bar graph shows the average U.S. unleaded regular gasoline prices for the years f...
Mathematical Excursions (MindTap Course List)
Let X1,..., Xn be a random sample from a pdf that is symmetric about . An estimator for that has been found to...
Probability and Statistics for Engineering and the Sciences
Simplify the algebraic expressions in Problems 15-34 by removing parentheses and combining similar terms. Objec...
Intermediate Algebra
Change each percent to a decimal: 814
Elementary Technical Mathematics
For Exercises 1 and 2, let A={1,2,3,4,5},B={2,4,6,8,10},andC={2,3,5,7,11}. Find (AB)(AC)
Elementary Geometry For College Students, 7e
Finding Points of Inflection In Exercises 17-32, find the points of inflection and discuss the concavity of the...
Calculus of a Single Variable
If f(x)=limtxsectsecxtx, find the value of f'(/4).
Single Variable Calculus: Early Transcendentals
Calculate the annual interest and current yield of the following bonds. Company CouponRate AnnualInterest Marke...
Contemporary Mathematics for Business & Consumers
Use the Cofunction Theorem to fill in the blanks so that each expression becomes a true statement. tan8=cot
Trigonometry (MindTap Course List)
Label each of the following statements as either true or false. 1. Mapping composition is a commutative operati...
Elements Of Modern Algebra
Proof In Exercises 93 and 94, let f and g represent| differentiable functions such that f0andg0. Show that if f...
Calculus: Early Transcendental Functions (MindTap Course List)
The fourth term of {an} defined by a1 = 3, and for n = 1, 2, 3, … is:
Study Guide for Stewart's Multivariable Calculus, 8th
True or False: .
Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th
COMPANY SALES JCN Media had sales of 1,750, 000 in the first year of operation. If the sales increased by 7/yea...
Finite Mathematics for the Managerial, Life, and Social Sciences
In Exercises 23 to 32, give the indirect proof for each problem or statement. There is exactly one line perpend...
Elementary Geometry for College Students
Using the Direct Comparison Test In Exercises 5-16, use the Direct Comparison Test to determine the convergence...
Calculus (MindTap Course List)
Finding a Vector In Exercises 83-86, And the sector v with the given magnitude and the same direction as n. Mag...
Multivariable Calculus
Write each expression without using absolute value symbols. x-7, when x0
College Algebra (MindTap Course List)
Suppose that we have two events, A and B, with P(A) = .50, P(B) = .60, and P(A B) = .40. a. Find P(A B). b. F...
Statistics for Business & Economics, Revised (MindTap Course List)
A company studied the number of lost-time accidents occurring at its Brownsville, Texas, plant. Historical reco...
STATISTICS F/BUSINESS+ECONOMICS-TEXT
For each of the following, identify which of the three basic principles of the Belmont Report is being violated...
Research Methods for the Behavioral Sciences (MindTap Course List)
Find the value of n!(nr)!, when n=r.
Mathematics: A Practical Odyssey
The report Raising Kids and Running a Household: How Working Parents Share the Load (November 4, 2015, Pew Rese...
Introduction To Statistics And Data Analysis
Express the following decimal fractions as common fractions. Reduce to lowest terms. 32. 0.875
Mathematics For Machine Technology
Describe how individual differences can produce large variance within treatments and explain why this is a prob...
Research Methods for the Behavioral Sciences (MindTap Course List)
