CALCULUS I & II EPCC >CI<
11th Edition
ISBN: 9781337910743
Author: Larson
Publisher: CENGAGE L
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Textbook Question
Chapter 4.1, Problem 70E
Deceleration A car traveling at 45 miles per hour is brought to a stop, at constant deceleration, 132 feet from where the brakes are applied.
(a) How far has the car moved when its speed has been reduced to 30 miles per hour?
(b) How far has the car moved when its speed has been reduced to 15 miles per hour?
(c) Draw the real number line from 0 to 132. Plot the points found in parts (a) and (b). What can you conclude?
Expert Solution & Answer
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Chapter 4 Solutions
CALCULUS I & II EPCC >CI<
Ch. 4.1 - CONCEPT CHECK Antiderivative What does it mean for...Ch. 4.1 - Antiderivatives Can two different functions both...Ch. 4.1 - Particular Solution What is a particular solution...Ch. 4.1 - Prob. 4ECh. 4.1 - Integration and Differentiation In Exercises 5 and...Ch. 4.1 - Integration and Differentiation In Exercises 5 and...Ch. 4.1 - Solving a Differential Equation In Exercises 7-10,...Ch. 4.1 - Prob. 8ECh. 4.1 - Prob. 9ECh. 4.1 - Solving a Differential Equation In Exercises 7-10,...
Ch. 4.1 - Prob. 11ECh. 4.1 - Rewriting Before Integrating In Exercises 11-14,...Ch. 4.1 - Rewriting Before Integrating In Exercises 11-14,...Ch. 4.1 - Prob. 14ECh. 4.1 - Prob. 15ECh. 4.1 - Finding an Indefinite Integral In Exercises 15-36,...Ch. 4.1 - Finding an Indefinite Integral In Exercises 15-36,...Ch. 4.1 - Prob. 19ECh. 4.1 - Prob. 20ECh. 4.1 - Finding an Indefinite Integral In Exercises 15-36,...Ch. 4.1 - Finding an Indefinite Integral In Exercises 15-36,...Ch. 4.1 - Prob. 28ECh. 4.1 - Prob. 23ECh. 4.1 - Prob. 24ECh. 4.1 - Prob. 25ECh. 4.1 - Finding an Indefinite Integral In Exercises 15-36,...Ch. 4.1 - Finding an Indefinite Integral In Exercises 15-36,...Ch. 4.1 - Prob. 30ECh. 4.1 - Prob. 21ECh. 4.1 - Prob. 22ECh. 4.1 - Prob. 33ECh. 4.1 - Prob. 34ECh. 4.1 - Finding an Indefinite Integral In Exercises 15-36,...Ch. 4.1 - Prob. 36ECh. 4.1 - Prob. 31ECh. 4.1 - Prob. 32ECh. 4.1 - Finding a Particular Solution In Exercises 37-44,...Ch. 4.1 - Finding a Particular Solution In Exercises 37-44,...Ch. 4.1 - Prob. 39ECh. 4.1 - Prob. 40ECh. 4.1 - Prob. 41ECh. 4.1 - Finding a Particular Solution In Exercises 37-44,...Ch. 4.1 - Prob. 43ECh. 4.1 - Prob. 44ECh. 4.1 - Slope Field In Exercises 45 and 46, a differential...Ch. 4.1 - Prob. 46ECh. 4.1 - Prob. 47ECh. 4.1 - Prob. 48ECh. 4.1 - EXPLORING CONCEPTS Sketching a Graph In Exercises...Ch. 4.1 - Sketching a Graph In Exercises 49 and 50, the...Ch. 4.1 - Prob. 51ECh. 4.1 - HOW DO YOU SEE IT? Use the graph of f shown in the...Ch. 4.1 - Horizontal Tangent Find a function f such that the...Ch. 4.1 - Prob. 54ECh. 4.1 - Tree Growth An evergreen nursery usually sells a...Ch. 4.1 - Population Growth The rate of growth dP/dt of a...Ch. 4.1 - Vertical Motion In Exercises 57-59, assume the...Ch. 4.1 - Vertical Motion In Exercises 57-59, assume the...Ch. 4.1 - Prob. 59ECh. 4.1 - Vertical Motion In Exercises 60-62, assume the...Ch. 4.1 - Prob. 61ECh. 4.1 - Prob. 62ECh. 4.1 - Lunar Gravity On the moon, the acceleration of a...Ch. 4.1 - Prob. 64ECh. 4.1 - Prob. 65ECh. 4.1 - Prob. 66ECh. 4.1 - Prob. 67ECh. 4.1 - Prob. 68ECh. 4.1 - Acceleration The maker of an automobile advertises...Ch. 4.1 - Deceleration A car traveling at 45 miles per hour...Ch. 4.1 - Prob. 71ECh. 4.1 - Prob. 72ECh. 4.1 - True or False? In Exercises 73 and 74, determine...Ch. 4.1 - Prob. 74ECh. 4.1 - Prob. 79ECh. 4.1 - Prob. 80ECh. 4.1 - True or False? In Exercises 73-78, determine...Ch. 4.1 - Prob. 76ECh. 4.1 - Prob. 77ECh. 4.1 - Prob. 81ECh. 4.1 - Prob. 78ECh. 4.2 - CONCEPT CHECK Sigma Notation What are the index of...Ch. 4.2 - Prob. 2ECh. 4.2 - Prob. 3ECh. 4.2 - Prob. 4ECh. 4.2 - Finding a Sum In Exercises 5-10, find the sum by...Ch. 4.2 - Prob. 6ECh. 4.2 - Finding a Sum In Exercises 5-10, find the sum by...Ch. 4.2 - Prob. 8ECh. 4.2 - Finding a Sum In Exercises 5-10, find the sum by...Ch. 4.2 - Prob. 10ECh. 4.2 - Prob. 11ECh. 4.2 - Prob. 12ECh. 4.2 - Prob. 13ECh. 4.2 - Prob. 14ECh. 4.2 - Prob. 15ECh. 4.2 - Prob. 16ECh. 4.2 - Prob. 17ECh. 4.2 - Prob. 18ECh. 4.2 - Evaluating a Sum In Exercises 17-24, use the...Ch. 4.2 - Prob. 20ECh. 4.2 - Prob. 21ECh. 4.2 - Prob. 22ECh. 4.2 - Prob. 23ECh. 4.2 - Evaluating a Sum In Exercises 1724, use the...Ch. 4.2 - Prob. 25ECh. 4.2 - Prob. 26ECh. 4.2 - Prob. 27ECh. 4.2 - Evaluating a Sum In Exercises 25-28, use the...Ch. 4.2 - Prob. 29ECh. 4.2 - Approximating the Area of a Plane Region In...Ch. 4.2 - Prob. 31ECh. 4.2 - Prob. 32ECh. 4.2 - Prob. 33ECh. 4.2 - Prob. 34ECh. 4.2 - Prob. 35ECh. 4.2 - Using Upper and Lower Sums In Exercises 35 and 36,...Ch. 4.2 - Prob. 37ECh. 4.2 - Finding Upper and Lower Sums for a Region In...Ch. 4.2 - Finding Upper and Lower Sums for a Region In...Ch. 4.2 - Prob. 40ECh. 4.2 - Finding Upper and Lower Sums for a Region In...Ch. 4.2 - Finding Upper and Lower Sums for a Region In...Ch. 4.2 - Finding Upper and Lower Sums for a Region In...Ch. 4.2 - Finding Upper and Lower Sums for a Region In...Ch. 4.2 - Numerical Reasoning Consider a triangle of area 2...Ch. 4.2 - Numerical Reasoning Consider a triangle of area 4...Ch. 4.2 - Prob. 47ECh. 4.2 - Prob. 48ECh. 4.2 - Prob. 49ECh. 4.2 - Prob. 50ECh. 4.2 - Prob. 51ECh. 4.2 - Prob. 52ECh. 4.2 - Prob. 53ECh. 4.2 - Prob. 54ECh. 4.2 - Prob. 55ECh. 4.2 - Prob. 56ECh. 4.2 - Prob. 57ECh. 4.2 - Prob. 58ECh. 4.2 - Prob. 59ECh. 4.2 - Prob. 60ECh. 4.2 - Prob. 61ECh. 4.2 - Prob. 62ECh. 4.2 - Prob. 63ECh. 4.2 - Prob. 64ECh. 4.2 - Prob. 65ECh. 4.2 - Prob. 66ECh. 4.2 - Prob. 67ECh. 4.2 - EXPLORING CONCEPTS Approximation A function is...Ch. 4.2 - Prob. 69ECh. 4.2 - EXPLORING CONCEPTS Midpoint Rule Does the Midpoint...Ch. 4.2 - Graphical Reasoning Consider the region bounded by...Ch. 4.2 - Prob. 72ECh. 4.2 - Prob. 73ECh. 4.2 - Prob. 74ECh. 4.2 - Prob. 75ECh. 4.2 - Prob. 76ECh. 4.2 - Seating Capacity A teacher places n scats to form...Ch. 4.2 - Proof Prove each formula by mathematical...Ch. 4.2 - PUTNAM EXAM CHALLENGE A dart, thrown at random,...Ch. 4.3 - CONCEPT CHECK Riemann Sum What does a Riemann Mini...Ch. 4.3 - CONCEPT CHECK Definite Integral Explain how to...Ch. 4.3 - Evaluating a Limit In Exercises 3 and 4, use...Ch. 4.3 - Evaluating a Limit In Exercises 3 and 4, use...Ch. 4.3 - Evaluating a Definite Integral as a Limit In...Ch. 4.3 - Evaluating a Definite Integral as a Limit In...Ch. 4.3 - Prob. 7ECh. 4.3 - Prob. 8ECh. 4.3 - Prob. 9ECh. 4.3 - Prob. 10ECh. 4.3 - Prob. 11ECh. 4.3 - Prob. 12ECh. 4.3 - Prob. 13ECh. 4.3 - Writing a Definite Integral In Exercises 13-22,...Ch. 4.3 - Writing a Definite Integral In Exercises 13-22,...Ch. 4.3 - Prob. 16ECh. 4.3 - Prob. 17ECh. 4.3 - Prob. 18ECh. 4.3 - Prob. 19ECh. 4.3 - Prob. 20ECh. 4.3 - Prob. 21ECh. 4.3 - Prob. 22ECh. 4.3 - Evaluating a Definite Integral Using a Geometric...Ch. 4.3 - Evaluating a Definite Integral Using a Geometric...Ch. 4.3 - Evaluating a Definite Integral Using a Geometric...Ch. 4.3 - Evaluating a Definite Integral Using a Geometric...Ch. 4.3 - Prob. 27ECh. 4.3 - Prob. 28ECh. 4.3 - Prob. 29ECh. 4.3 - Prob. 30ECh. 4.3 - Prob. 31ECh. 4.3 - Prob. 32ECh. 4.3 - Prob. 33ECh. 4.3 - Prob. 34ECh. 4.3 - Prob. 35ECh. 4.3 - Prob. 36ECh. 4.3 - Prob. 37ECh. 4.3 - Prob. 38ECh. 4.3 - Prob. 39ECh. 4.3 - Prob. 40ECh. 4.3 - Using Properties of Definite Integrals Given...Ch. 4.3 - Using Properties of Definite Integrals Given...Ch. 4.3 - Prob. 43ECh. 4.3 - Using Properties of Definite Integrals Given...Ch. 4.3 - Prob. 45ECh. 4.3 - Estimating a Definite Integral Use the table of...Ch. 4.3 - Think About It The graph of f consists of line...Ch. 4.3 - Think About It The graph of f consists of line...Ch. 4.3 - Think About It Consider a function f that is...Ch. 4.3 - HOW DO YOU SEE IT? Use the figure to fill in the...Ch. 4.3 - Prob. 51ECh. 4.3 - Think About It A function f is defined below. Use...Ch. 4.3 - Prob. 53ECh. 4.3 - Prob. 54ECh. 4.3 - Prob. 55ECh. 4.3 - Prob. 56ECh. 4.3 - Prob. 57ECh. 4.3 - Prob. 58ECh. 4.3 - Finding Values In Exercises 59-62, find possible...Ch. 4.3 - Prob. 60ECh. 4.3 - Prob. 61ECh. 4.3 - Prob. 62ECh. 4.3 - Prob. 63ECh. 4.3 - Prob. 64ECh. 4.3 - Prob. 65ECh. 4.3 - True or False? In Exercises 63-68, determine...Ch. 4.3 - Prob. 67ECh. 4.3 - Prob. 68ECh. 4.3 - Prob. 69ECh. 4.3 - Prob. 70ECh. 4.3 - Prob. 71ECh. 4.3 - Prob. 72ECh. 4.3 - Prob. 73ECh. 4.3 - Prob. 74ECh. 4.3 - Prob. 75ECh. 4.3 - Finding Values Find the constants a and b, where...Ch. 4.3 - Prob. 77ECh. 4.3 - Prob. 78ECh. 4.3 - Prob. 79ECh. 4.4 - CONCEPT CHECK Fundamental Theorem of Calculus...Ch. 4.4 - CONCEPT CHECK Mean Value Theorem Describe the...Ch. 4.4 - CONCEPT CHECK Average Value of a Function...Ch. 4.4 - Prob. 4ECh. 4.4 - Graphical Reasoning In Exercises 58, use a...Ch. 4.4 - Prob. 6ECh. 4.4 - Prob. 7ECh. 4.4 - Prob. 8ECh. 4.4 - Prob. 9ECh. 4.4 - Prob. 12ECh. 4.4 - Prob. 10ECh. 4.4 - Prob. 11ECh. 4.4 - Evaluating a Definite Integral In Exercises 936,...Ch. 4.4 - Prob. 14ECh. 4.4 - Prob. 15ECh. 4.4 - Prob. 16ECh. 4.4 - Evaluating a Definite Integral In Exercises 936,...Ch. 4.4 - Evaluating a Definite Integral In Exercises 936,...Ch. 4.4 - Prob. 19ECh. 4.4 - Prob. 20ECh. 4.4 - Prob. 21ECh. 4.4 - Prob. 22ECh. 4.4 - Prob. 23ECh. 4.4 - Prob. 24ECh. 4.4 - Prob. 25ECh. 4.4 - Prob. 26ECh. 4.4 - Prob. 27ECh. 4.4 - Prob. 28ECh. 4.4 - Prob. 29ECh. 4.4 - Prob. 30ECh. 4.4 - Prob. 31ECh. 4.4 - Evaluating a Definite Integral In Exercises 936,...Ch. 4.4 - Prob. 33ECh. 4.4 - Prob. 34ECh. 4.4 - Prob. 35ECh. 4.4 - Prob. 36ECh. 4.4 - Prob. 37ECh. 4.4 - Finding the Area of a Region In Exercises 3740,...Ch. 4.4 - Prob. 39ECh. 4.4 - Prob. 40ECh. 4.4 - Finding the Area of a Region In Exercises 41-46,...Ch. 4.4 - Prob. 42ECh. 4.4 - Prob. 43ECh. 4.4 - Finding the Area of a Region In Exercises 41-46,...Ch. 4.4 - Prob. 44ECh. 4.4 - Prob. 46ECh. 4.4 - Prob. 47ECh. 4.4 - Prob. 48ECh. 4.4 - Prob. 49ECh. 4.4 - Prob. 50ECh. 4.4 - Using the Mean Value Theorem for Integrals In...Ch. 4.4 - Using the Mean Value Theorem for Integrals In...Ch. 4.4 - Finding the Average Value of a Function In...Ch. 4.4 - Finding the Average Value of a Function In...Ch. 4.4 - Prob. 55ECh. 4.4 - Prob. 56ECh. 4.4 - Prob. 57ECh. 4.4 - Prob. 58ECh. 4.4 - Force The force F (in newtons) of a hydraulic...Ch. 4.4 - Respiratory Cycle The volume V in liters, of air...Ch. 4.4 - Buffons Needle Experiment A horizontal plane is...Ch. 4.4 - HOW DO YOU SEE IT? The graph of f is shown in the...Ch. 4.4 - Prob. 63ECh. 4.4 - Prob. 64ECh. 4.4 - Prob. 65ECh. 4.4 - Evaluating a Definite Integral In Exercises 65 and...Ch. 4.4 - Analyzing a Function Let g(x)=0xf(t)dt where f is...Ch. 4.4 - Analyzing a Function Let g(x)=0xf(t)dt where f is...Ch. 4.4 - Prob. 69ECh. 4.4 - Prob. 70ECh. 4.4 - Prob. 71ECh. 4.4 - Prob. 72ECh. 4.4 - Prob. 73ECh. 4.4 - Prob. 74ECh. 4.4 - Using the Second Fundamental Theorem of Calculus...Ch. 4.4 - Prob. 76ECh. 4.4 - Prob. 77ECh. 4.4 - Prob. 78ECh. 4.4 - Prob. 79ECh. 4.4 - Prob. 80ECh. 4.4 - Prob. 81ECh. 4.4 - Prob. 82ECh. 4.4 - Prob. 83ECh. 4.4 - Prob. 84ECh. 4.4 - Prob. 85ECh. 4.4 - Prob. 86ECh. 4.4 - Prob. 87ECh. 4.4 - Prob. 88ECh. 4.4 - Water Flow Water flows from a storage tank at a...Ch. 4.4 - Oil Leak At 1:00 p.m., oil begins leaking from a...Ch. 4.4 - Prob. 91ECh. 4.4 - Velocity The graph shows the velocity, in feet per...Ch. 4.4 - Prob. 93ECh. 4.4 - Prob. 94ECh. 4.4 - Prob. 95ECh. 4.4 - Prob. 96ECh. 4.4 - Prob. 97ECh. 4.4 - Prob. 98ECh. 4.4 - Prob. 99ECh. 4.4 - EXPLORING CONCEPTS Rate of Growth Let r'(t)...Ch. 4.4 - Prob. 101ECh. 4.4 - Prob. 102ECh. 4.4 - Prob. 103ECh. 4.4 - Particle Motion Repeat Exercise 103 for the...Ch. 4.4 - Prob. 105ECh. 4.4 - Prob. 106ECh. 4.4 - Prob. 107ECh. 4.4 - Prob. 108ECh. 4.4 - Prob. 109ECh. 4.4 - Prob. 110ECh. 4.4 - Analyzing a Function Show that the function...Ch. 4.4 - Prob. 112ECh. 4.4 - Prob. 113ECh. 4.4 - Prob. 114ECh. 4.4 - Prob. 115ECh. 4.5 - CONCEPT CHECK Constant Multiple Rule Explain how...Ch. 4.5 - Prob. 2ECh. 4.5 - Prob. 3ECh. 4.5 - CONCEPT CHECK Analyzing the Integrand Without...Ch. 4.5 - Recognizing Patterns In Exercises 5-8, complete...Ch. 4.5 - Prob. 6ECh. 4.5 - Prob. 7ECh. 4.5 - Prob. 8ECh. 4.5 - Finding an Indefinite Integral In Exercises 9-30,...Ch. 4.5 - Prob. 10ECh. 4.5 - Prob. 11ECh. 4.5 - Prob. 12ECh. 4.5 - Prob. 13ECh. 4.5 - Prob. 14ECh. 4.5 - Prob. 15ECh. 4.5 - Prob. 16ECh. 4.5 - Prob. 17ECh. 4.5 - Prob. 19ECh. 4.5 - Prob. 18ECh. 4.5 - Finding an Indefinite Integral In Exercises 9-30,...Ch. 4.5 - 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Prob. 61ECh. 4.5 - Prob. 62ECh. 4.5 - Prob. 63ECh. 4.5 - Prob. 64ECh. 4.5 - Prob. 65ECh. 4.5 - Prob. 66ECh. 4.5 - Prob. 67ECh. 4.5 - Prob. 68ECh. 4.5 - Prob. 69ECh. 4.5 - Finding the Area of a Region In Exercises 69-72,...Ch. 4.5 - Prob. 73ECh. 4.5 - Prob. 74ECh. 4.5 - Prob. 75ECh. 4.5 - Even and Odd Functions In Exercises 73-76,...Ch. 4.5 - Prob. 77ECh. 4.5 - Prob. 78ECh. 4.5 - Prob. 79ECh. 4.5 - Prob. 80ECh. 4.5 - Prob. 81ECh. 4.5 - Prob. 82ECh. 4.5 - Prob. 83ECh. 4.5 - Prob. 84ECh. 4.5 - Sales The sales S (in thousands of units) of a...Ch. 4.5 - Prob. 86ECh. 4.5 - Prob. 87ECh. 4.5 - Prob. 88ECh. 4.5 - Prob. 89ECh. 4.5 - Prob. 90ECh. 4.5 - Prob. 91ECh. 4.5 - Prob. 92ECh. 4.5 - Prob. 93ECh. 4.5 - Prob. 94ECh. 4.5 - Prob. 95ECh. 4.5 - Prob. 96ECh. 4.5 - Prob. 97ECh. 4.5 - Prob. 98ECh. 4.5 - Prob. 99ECh. 4.5 - Prob. 100ECh. 4.5 - Prob. 101ECh. 4.5 - Prob. 102ECh. 4.5 - Prob. 103ECh. 4.5 - Prob. 104ECh. 4 - Finding an Indefinite Integral In Exercises 1-8,...Ch. 4 - Finding an Indefinite Integral In Exercises 1-8,...Ch. 4 - 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Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:Cengage Learning
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Trigonometry (MindTap Course List)
Trigonometry
ISBN:9781337278461
Author:Ron Larson
Publisher:Cengage Learning
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Limits and Continuity; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=9brk313DjV8;License: Standard YouTube License, CC-BY