Calculus
10th Edition
ISBN: 9781285057095
Author: Ron Larson, Bruce H. Edwards
Publisher: Cengage Learning
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Question
Chapter 4.4, Problem 99E
(a)
To determine
To calculate: The displacement of the car travelling in straight line.
(b)
To determine
To calculate: The distance of the car travelling in straight line.
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The velocity (in m/s) of a hopping bunny is shown in the graph below.
V
3+
2+
1+
(a)
Describe, in words, the motion of the bunny over the interval 0
Pls help ASAP
The table shows the position of a motorcyclist after accelerating from rest.
t (seconds)
s (feet)
(i) [2, 4]
19.85
(ii) [3, 4]
27.2
(iii) [4, 5]
59.1
0 1
(iv) [4, 6]
93.85
(a) Find the average velocity (in ft/s) for each time period.
0 4.9 10.6 23.1
✓ ft/s
ft/s
2
ft/s
3
ft/s
4
5
50.3 109.4
6
238.0
(b) Plot the points in the table to create a graph of s as a function of t to estimate the instantaneous velocity (in ft/s)
when t = 3. (Round your answer to one decimal place.)
93
X ft/s
Enhanced Feedback
Please try again. When calculating the average velocity, you are actually calculating the slope of the secant line between
the two given points. Use the table to calculate the difference in distance for the given time period, and divide by the
change in time. To estimate the instantaneous velocity, look for a trend in average velocity and find a value matching the
trend for the given time.
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vel
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Chapter 4 Solutions
Calculus
Ch. 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. 4ECh. 4.1 - Prob. 5ECh. 4.1 - Solving a Differential Equation In Exercises 7-10,...Ch. 4.1 - Prob. 7ECh. 4.1 - Rewriting Before Integrating In Exercises 11-14,...Ch. 4.1 - Rewriting Before Integrating In Exercises 11-14,...Ch. 4.1 - Prob. 10E
Ch. 4.1 - Prob. 11ECh. 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. 14ECh. 4.1 - Prob. 15ECh. 4.1 - Prob. 16ECh. 4.1 - Prob. 17ECh. 4.1 - Prob. 18ECh. 4.1 - Prob. 19ECh. 4.1 - Prob. 20ECh. 4.1 - Prob. 21ECh. 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. 24ECh. 4.1 - Finding an Indefinite Integral In Exercises 15-36,...Ch. 4.1 - Prob. 26ECh. 4.1 - Finding an Indefinite Integral In Exercises 1132,...Ch. 4.1 - Prob. 28ECh. 4.1 - Prob. 29ECh. 4.1 - Prob. 30ECh. 4.1 - Finding an Indefinite Integral In Exercises 15-36,...Ch. 4.1 - Prob. 32ECh. 4.1 - EXPLORING CONCEPTS Sketching a Graph In Exercises...Ch. 4.1 - Sketching a Graph In Exercises 49 and 50, the...Ch. 4.1 - Finding a Particular Solution In Exercises 37-44,...Ch. 4.1 - Finding a Particular Solution In Exercises 37-44,...Ch. 4.1 - Finding a Particular Solution In Exercises 35-42,...Ch. 4.1 - Prob. 38ECh. 4.1 - Prob. 39ECh. 4.1 - Finding a Particular Solution In Exercises 37-44,...Ch. 4.1 - Prob. 41ECh. 4.1 - Prob. 42ECh. 4.1 - Slope Field In Exercises 45 and 46, a differential...Ch. 4.1 - Prob. 44ECh. 4.1 - Prob. 45ECh. 4.1 - Prob. 46ECh. 4.1 - Prob. 47ECh. 4.1 - Prob. 48ECh. 4.1 - Prob. 49ECh. 4.1 - HOW DO YOU SEE IT? Use the graph of f shown in the...Ch. 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. 55ECh. 4.1 - Vertical Motion In Exercises 60-62, assume the...Ch. 4.1 - Prob. 57ECh. 4.1 - Prob. 58ECh. 4.1 - Lunar Gravity On the moon, the acceleration of a...Ch. 4.1 - Prob. 60ECh. 4.1 - Prob. 61ECh. 4.1 - Prob. 62ECh. 4.1 - Prob. 63ECh. 4.1 - Prob. 64ECh. 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. 67ECh. 4.1 - Prob. 68ECh. 4.1 - True or False? In Exercises 73 and 74, determine...Ch. 4.1 - Prob. 70ECh. 4.1 - True or False? In Exercises 73-78, determine...Ch. 4.1 - Prob. 72ECh. 4.1 - Prob. 73ECh. 4.1 - Prob. 74ECh. 4.1 - Horizontal Tangent Find a function f such that the...Ch. 4.1 - Finding a Function The graph of f' is shown. Find...Ch. 4.1 - Prob. 77ECh. 4.1 - Prob. 78ECh. 4.2 - Finding a Sum In Exercises 5-10, find the sum by...Ch. 4.2 - Prob. 2ECh. 4.2 - Finding a Sum In Exercises 5-10, find the sum by...Ch. 4.2 - Finding a Sum In Exercises 16, find the sum. Use...Ch. 4.2 - Finding a Sum In Exercises 5-10, find the sum by...Ch. 4.2 - Prob. 6ECh. 4.2 - Prob. 7ECh. 4.2 - Using Sigma Notation In Exercises 712, use sigma...Ch. 4.2 - Prob. 9ECh. 4.2 - Prob. 10ECh. 4.2 - Prob. 11ECh. 4.2 - Prob. 12ECh. 4.2 - Prob. 13ECh. 4.2 - Prob. 14ECh. 4.2 - Evaluating a Sum In Exercises 17-24, use the...Ch. 4.2 - Prob. 16ECh. 4.2 - Prob. 17ECh. 4.2 - Prob. 18ECh. 4.2 - Prob. 19ECh. 4.2 - Evaluating a Sum In Exercises 1724, use the...Ch. 4.2 - Prob. 21ECh. 4.2 - Prob. 22ECh. 4.2 - Prob. 23ECh. 4.2 - Evaluating a Sum In Exercises 25-28, use the...Ch. 4.2 - Prob. 25ECh. 4.2 - Approximating the Area of a Plane Region In...Ch. 4.2 - Prob. 27ECh. 4.2 - Prob. 28ECh. 4.2 - Prob. 29ECh. 4.2 - Prob. 30ECh. 4.2 - Prob. 31ECh. 4.2 - Using Upper and Lower Sums In Exercises 35 and 36,...Ch. 4.2 - Prob. 33ECh. 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. 36ECh. 4.2 - Prob. 37ECh. 4.2 - Prob. 38ECh. 4.2 - Finding a Limit In Exercises 3742, find a formula...Ch. 4.2 - Finding a Limit In Exercises 3742, find a formula...Ch. 4.2 - Prob. 41ECh. 4.2 - Prob. 42ECh. 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. 45ECh. 4.2 - Prob. 46ECh. 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 - Finding Area by the Limit Definition In Exercises...Ch. 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 - Prob. 68ECh. 4.2 - Graphical Reasoning Consider the region bounded by...Ch. 4.2 - Prob. 70ECh. 4.2 - Prob. 71ECh. 4.2 - Prob. 72ECh. 4.2 - Prob. 73ECh. 4.2 - Prob. 74ECh. 4.2 - Building Blocks A child places n cubic building...Ch. 4.2 - Proof Prove each formula by mathematical...Ch. 4.2 - PUTNAM EXAM CHALLENGE A dart, thrown at random,...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. 5ECh. 4.3 - Prob. 6ECh. 4.3 - Prob. 7ECh. 4.3 - Prob. 8ECh. 4.3 - Prob. 9ECh. 4.3 - Writing a Limit as a Definite Integral In...Ch. 4.3 - Prob. 11ECh. 4.3 - Writing a Limit as a Definite Integral In...Ch. 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 - Prob. 24ECh. 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 - Using Properties of Definite Integrals In...Ch. 4.3 - Prob. 38ECh. 4.3 - Prob. 39ECh. 4.3 - Using Properties of Definite Integrals In...Ch. 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 - Prob. 76ECh. 4.3 - Prob. 77ECh. 4.3 - Prob. 78ECh. 4.4 - Graphical Reasoning In Exercises 58, use a...Ch. 4.4 - Prob. 2ECh. 4.4 - Prob. 3ECh. 4.4 - Prob. 4ECh. 4.4 - Prob. 5ECh. 4.4 - Prob. 6ECh. 4.4 - Prob. 7ECh. 4.4 - Prob. 8ECh. 4.4 - Prob. 9ECh. 4.4 - Prob. 10ECh. 4.4 - Evaluating a Definite Integral In Exercises 936,...Ch. 4.4 - Prob. 12ECh. 4.4 - Prob. 13ECh. 4.4 - Prob. 14ECh. 4.4 - Evaluating a Definite Integral In Exercises 936,...Ch. 4.4 - Evaluating a Definite Integral In Exercises 936,...Ch. 4.4 - Prob. 17ECh. 4.4 - Prob. 18ECh. 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 - Evaluating a Definite Integral In Exercises 534,...Ch. 4.4 - Prob. 28ECh. 4.4 - Prob. 29ECh. 4.4 - Evaluating a Definite Integral In Exercises 936,...Ch. 4.4 - Prob. 31ECh. 4.4 - Prob. 32ECh. 4.4 - Prob. 33ECh. 4.4 - Prob. 34ECh. 4.4 - Prob. 35ECh. 4.4 - Finding the Area of a Region In Exercises 3740,...Ch. 4.4 - Prob. 37ECh. 4.4 - Prob. 38ECh. 4.4 - Finding the Area of a Region In Exercises 41-46,...Ch. 4.4 - Prob. 40ECh. 4.4 - Prob. 41ECh. 4.4 - Prob. 42ECh. 4.4 - Finding the Area of a Region In Exercises 41-46,...Ch. 4.4 - Prob. 44ECh. 4.4 - Prob. 45ECh. 4.4 - Prob. 46ECh. 4.4 - Prob. 47ECh. 4.4 - Prob. 48ECh. 4.4 - Using the Mean Value Theorem for Integrals In...Ch. 4.4 - Using the Mean Value Theorem for Integrals In...Ch. 4.4 - Prob. 51ECh. 4.4 - Finding the Average Value of a Function In...Ch. 4.4 - Prob. 53ECh. 4.4 - Prob. 54ECh. 4.4 - Prob. 55ECh. 4.4 - Prob. 56ECh. 4.4 - Prob. 57ECh. 4.4 - Velocity The graph shows the velocity, in feet per...Ch. 4.4 - Prob. 59ECh. 4.4 - Rate of Growth Let r'(t) represent the rate of...Ch. 4.4 - Force The force F (in newtons) of a hydraulic...Ch. 4.4 - Blood Flow The velocity v of the flow of blood at...Ch. 4.4 - Respiratory Cycle The volume V in liters, of air...Ch. 4.4 - Prob. 64ECh. 4.4 - Prob. 65ECh. 4.4 - HOW DO YOU SEE IT? The graph of f is shown in the...Ch. 4.4 - Prob. 67ECh. 4.4 - Evaluating a Definite Integral In Exercises 6772,...Ch. 4.4 - Prob. 69ECh. 4.4 - Evaluating a Definite Integral In Exercises 6772,...Ch. 4.4 - Prob. 71ECh. 4.4 - Evaluating a Definite Integral In Exercises 6772,...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. 75ECh. 4.4 - Prob. 76ECh. 4.4 - Prob. 77ECh. 4.4 - Prob. 78ECh. 4.4 - Prob. 79ECh. 4.4 - Prob. 80ECh. 4.4 - Using the Second Fundamental Theorem of Calculus...Ch. 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 - Prob. 89ECh. 4.4 - Prob. 90ECh. 4.4 - Prob. 91ECh. 4.4 - Finding a Derivative In Exercises 8792, find...Ch. 4.4 - Prob. 93ECh. 4.4 - Prob. 94ECh. 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. 95ECh. 4.4 - Prob. 96ECh. 4.4 - Prob. 97ECh. 4.4 - Prob. 98ECh. 4.4 - Prob. 99ECh. 4.4 - Prob. 100ECh. 4.4 - Prob. 101ECh. 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 - Buffon's Needle Experiment A horizontal plane is...Ch. 4.4 - Prob. 110ECh. 4.4 - Prob. 111ECh. 4.4 - Prob. 112ECh. 4.4 - Analyzing a Function Show that the function...Ch. 4.4 - Prob. 114ECh. 4.4 - Prob. 115ECh. 4.5 - CONCEPT CHECK Analyzing the Integrand Without...Ch. 4.5 - Finding u and du In Exercises 14, complete the...Ch. 4.5 - Prob. 2ECh. 4.5 - Prob. 3ECh. 4.5 - Prob. 4ECh. 4.5 - Finding an Indefinite Integral In Exercises 9-30,...Ch. 4.5 - Prob. 6ECh. 4.5 - Prob. 7ECh. 4.5 - Prob. 8ECh. 4.5 - Prob. 9ECh. 4.5 - Prob. 10ECh. 4.5 - Finding an Indefinite Integral In Exercises 526,...Ch. 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. 18ECh. 4.5 - Prob. 19ECh. 4.5 - Finding an Indefinite Integral In Exercises 9-30,...Ch. 4.5 - Prob. 21ECh. 4.5 - Prob. 22ECh. 4.5 - Prob. 23ECh. 4.5 - Prob. 24ECh. 4.5 - Finding an Indefinite Integral In Exercises 9-30,...Ch. 4.5 - Prob. 26ECh. 4.5 - Prob. 27ECh. 4.5 - Prob. 28ECh. 4.5 - Prob. 29ECh. 4.5 - Differential Equation In Exercises 2730, solve the...Ch. 4.5 - Slope Field In Exercises 35 and 36, a differential...Ch. 4.5 - Prob. 32ECh. 4.5 - Prob. 63ECh. 4.5 - Differential Equation In Exercises 37 and 38, the...Ch. 4.5 - Prob. 33ECh. 4.5 - Prob. 34ECh. 4.5 - Prob. 35ECh. 4.5 - Prob. 36ECh. 4.5 - Prob. 37ECh. 4.5 - Prob. 38ECh. 4.5 - Prob. 39ECh. 4.5 - Prob. 40ECh. 4.5 - Prob. 41ECh. 4.5 - Prob. 42ECh. 4.5 - Prob. 43ECh. 4.5 - Prob. 44ECh. 4.5 - Prob. 45ECh. 4.5 - Prob. 46ECh. 4.5 - Prob. 47ECh. 4.5 - Prob. 48ECh. 4.5 - Prob. 49ECh. 4.5 - Change of Variables In Exercises 53-60, find the...Ch. 4.5 - Prob. 51ECh. 4.5 - Prob. 52ECh. 4.5 - Prob. 53ECh. 4.5 - Prob. 54ECh. 4.5 - Prob. 55ECh. 4.5 - Prob. 56ECh. 4.5 - Prob. 57ECh. 4.5 - Prob. 58ECh. 4.5 - Prob. 59ECh. 4.5 - Prob. 60ECh. 4.5 - Prob. 61ECh. 4.5 - Evaluating a Definite Integral In Exercises 5562,...Ch. 4.5 - Prob. 65ECh. 4.5 - Finding the Area of a Region In Exercises 69-72,...Ch. 4.5 - Prob. 67ECh. 4.5 - Prob. 68ECh. 4.5 - Prob. 69ECh. 4.5 - Prob. 70ECh. 4.5 - Prob. 72ECh. 4.5 - Even and Odd Functions In Exercises 73-76,...Ch. 4.5 - Prob. 73ECh. 4.5 - Prob. 74ECh. 4.5 - Prob. 75ECh. 4.5 - Prob. 76ECh. 4.5 - Prob. 77ECh. 4.5 - Prob. 79ECh. 4.5 - Prob. 80ECh. 4.5 - Prob. 81ECh. 4.5 - Prob. 82ECh. 4.5 - Sales The sales S (in thousands of units) of a...Ch. 4.5 - Prob. 84ECh. 4.5 - Prob. 85ECh. 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. 4.6 - Using the Trapezoidal Rule and Simpson's Rule In...Ch. 4.6 - Using the Trapezoidal Rule and Simpson's Rule In...Ch. 4.6 - Using the Trapezoidal Rule and Simpson's Rule In...Ch. 4.6 - Prob. 4ECh. 4.6 - Prob. 5ECh. 4.6 - Using the Trapezoidal Rule and Simpson's Rule In...Ch. 4.6 - Prob. 7ECh. 4.6 - Prob. 8ECh. 4.6 - Prob. 9ECh. 4.6 - Prob. 10ECh. 4.6 - Prob. 11ECh. 4.6 - Prob. 12ECh. 4.6 - Prob. 13ECh. 4.6 - Prob. 14ECh. 4.6 - Prob. 15ECh. 4.6 - Prob. 16ECh. 4.6 - Prob. 17ECh. 4.6 - Using the Trapezoidal Rule and Simpson's Rule In...Ch. 4.6 - Using the Trapezoidal Rule and Simpson's Rule In...Ch. 4.6 - Prob. 20ECh. 4.6 - Prob. 21ECh. 4.6 - Prob. 22ECh. 4.6 - Estimating Errors In Exercises 2326, use the error...Ch. 4.6 - Estimating Errors In Exercises 2326, use the error...Ch. 4.6 - Prob. 25ECh. 4.6 - Prob. 26ECh. 4.6 - Estimating Errors In Exercises 2730, use the error...Ch. 4.6 - Prob. 28ECh. 4.6 - Prob. 29ECh. 4.6 - Estimating Errors In Exercises 2730, use the error...Ch. 4.6 - Estimating Errors Using Technology In Exercises...Ch. 4.6 - Estimating Errors Using Technology In Exercises...Ch. 4.6 - Estimating Errors Using Technology In Exercises...Ch. 4.6 - Estimating Errors Using Technology In Exercises...Ch. 4.6 - Finding the Area of a Region Approximate the area...Ch. 4.6 - Finding the Area of a Region Approximate the area...Ch. 4.6 - Area Use Simpsons Rule with n = 14 to approximate...Ch. 4.6 - Circumference The elliptic integral 830/2123sin2d...Ch. 4.6 - Surveying Use the Trapezoidal Rule to estimate the...Ch. 4.6 - HOW DO YOU SEE IT? The function f(x) isconcave...Ch. 4.6 - Work To determine the size of the motor required...Ch. 4.6 - Prob. 42ECh. 4.6 - Approximation of Pi In Exercises 43 and 44, use...Ch. 4.6 - Approximation of Pi In Exercises 43 and 44, use...Ch. 4.6 - Using Simpson's Rule Use Simpsons Rule with n = 10...Ch. 4.6 - Prob. 46ECh. 4.6 - Proof Prove that you can find a polynomial p(x) =...Ch. 4 - Finding an Indefinite Integral In Exercises 18,...Ch. 4 - Finding an Indefinite Integral In Exercises 1-8,...Ch. 4 - Prob. 3RECh. 4 - Prob. 4RECh. 4 - Prob. 5RECh. 4 - Prob. 6RECh. 4 - Prob. 7RECh. 4 - Prob. 8RECh. 4 - Prob. 9RECh. 4 - Prob. 10RECh. 4 - Prob. 11RECh. 4 - Prob. 12RECh. 4 - Prob. 13RECh. 4 - Prob. 14RECh. 4 - Velocity and Acceleration A ball is thrown...Ch. 4 - Velocity and Acceleration The speed of a car...Ch. 4 - Velocity and Acceleration An airplane taking off...Ch. 4 - Modeling Data The table shows the velocities (in...Ch. 4 - Prob. 19RECh. 4 - Prob. 20RECh. 4 - Using Sigma Notation In Exercises 21 and 22, use...Ch. 4 - Prob. 22RECh. 4 - Prob. 23RECh. 4 - Prob. 24RECh. 4 - Prob. 25RECh. 4 - Prob. 26RECh. 4 - Prob. 27RECh. 4 - Prob. 28RECh. 4 - Prob. 29RECh. 4 - Prob. 30RECh. 4 - Prob. 31RECh. 4 - Prob. 32RECh. 4 - Prob. 33RECh. 4 - Prob. 34RECh. 4 - Prob. 35RECh. 4 - Prob. 36RECh. 4 - Prob. 37RECh. 4 - Prob. 38RECh. 4 - Prob. 39RECh. 4 - Prob. 40RECh. 4 - Prob. 41RECh. 4 - Prob. 42RECh. 4 - Prob. 43RECh. 4 - Prob. 44RECh. 4 - Prob. 45RECh. 4 - Prob. 46RECh. 4 - Prob. 47RECh. 4 - Prob. 48RECh. 4 - Prob. 49RECh. 4 - Prob. 50RECh. 4 - Prob. 51RECh. 4 - Prob. 52RECh. 4 - Prob. 53RECh. 4 - Prob. 54RECh. 4 - Prob. 55RECh. 4 - Prob. 56RECh. 4 - Prob. 57RECh. 4 - Prob. 58RECh. 4 - Prob. 59RECh. 4 - Using the Second Fundamental Theorem of Calculus...Ch. 4 - Prob. 61RECh. 4 - Prob. 62RECh. 4 - Prob. 63RECh. 4 - Finding an Indefinite Integral In Exercises 59-66,...Ch. 4 - Prob. 65RECh. 4 - Prob. 66RECh. 4 - Prob. 67RECh. 4 - Prob. 68RECh. 4 - Prob. 69RECh. 4 - Prob. 70RECh. 4 - Prob. 71RECh. 4 - Prob. 72RECh. 4 - Prob. 73RECh. 4 - Prob. 74RECh. 4 - Prob. 75RECh. 4 - Prob. 76RECh. 4 - Prob. 77RECh. 4 - Prob. 78RECh. 4 - Prob. 79RECh. 4 - Prob. 80RECh. 4 - Prob. 81RECh. 4 - Prob. 82RECh. 4 - Prob. 83RECh. 4 - Prob. 84RECh. 4 - Prob. 85RECh. 4 - 86. 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- helparrow_forwardA car going 70 ft/sec brakes to a stop in five seconds. Assume the deceleration is constant. (a) Graph the velocity against time t for 0 ≤ t ≤ 5 seconds. Then represent, as an area, the total distance traveled from the time the brakes are applied until the car comes to a stop. V V 70 ft/sec V 70 ft/sec (b) Find the total distance traveled. ft 5 sec 5 sec 70 ft/sec V 70 ft/sec 5 sec 5 secarrow_forwardpls help asaparrow_forward
- Highway travel A state patrol station is located on a straight north-south freeway. A patrol car leaves the station at 9:00 A.M. heading north with position function s = f(t) that gives its loca tion in miles t hours after 9:00 A.M. (see figure). Assume s is positive when the car is north of the patrol station. a. Determine the average velocity of the car during the first 45 minutes of the trip. b. Find the average velocity of the car over the interval [0.25, 0.75]. Is the average velocity a good estimate of the velocity at 9:30 A.M.? c. Find the average velocity of the car over the interval [1.75, 2.25]. Estimate the velocity of the car at 11:00 A.M. an determine the direction in which the patrol car is moving. d. Describe the motion of the patrol car relative to the patrol station between 9:00 A.M. and noon. 40- 30 s= f(1) 20 10 0.5 1.0 1.5 25 3,0 10- 20 -30 Time (hours) Position (mikes from station)arrow_forwardAn object moves along a line where its velocity function is as described by the graph. What is the total distance that it has traveled between [2, 7]? VCD t O 2 4 08 v(t)arrow_forwardVelocity of a skydiver Assume the graph represents the distance (in m) fallen by a skydiver t seconds after jumping out of a plane. a. Estimate the velocity of the skydiver at t = 15. b. Estimate the velocity of the skydiver at t = 70. c. Estimate the average velocity of the skydiver between t = 20 and t = 90. d. Sketch a graph of the velocity function, for 0 sts 120. e. What significant event occurred at t = 30? y. 1600 1200 800 400 20 40 60 80 100 120 1 Time (seconds) Distance (meters)arrow_forward
- Wheat production in a given year, W, depends on the average temperature T and the annual rainfall R. Scientists estimate that the average temperature is rising at a rate of 0.14°/year and rainfall is decreasing at a rate of 0.1 cm/year. They also estimate that, at current aW production levels, = -2 and aW ƏT ƏR dW production dt = 5. Estimate the current rate of change of wheatarrow_forwardStarting from home, a car drives along a straight east/west highway. The table below gives the car's distance, d, east from home as a function of time, t. t (hours) 0 0.5 1 3.5 4 d (miles) 0 15 49 74 66 32 0o (a) Find the average velocity of the car over the following intervals: (i) O sts0.5 Average velocity i mph (ii) 0,5 sts 1 Average velocity mph (III) 3arrow_forwardThe table shows the position of a motorcyclist after accelerating from rest. t (seconds) (1) [2, 4] () [3, 4] (i) [4, 5] 0 (iv) [4, 6] ft/s s (feet) 0 (a) Find the average velocity (in ft/s) for each time period. ft/s ft/s 1 ft/s 2 3 4.9 10.7 23.2 4 50.3 5 109.4 6 237.6. (b) Plot the points in the table to create a graph of s as a function of t to estimate the instantaneous velocity (in ft/s) when t = 3. (Round your answer to one decimal place.) ft/sarrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
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