University Calculus: Early Transcendentals, Loose-leaf Edition (4th Edition)
4th Edition
ISBN: 9780135164860
Author: Joel R. Hass, Christopher Heil, Przemyslaw Bogacki, Maurice D. Weir, George B. Thomas Jr.
Publisher: PEARSON
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Chapter 3.6, Problem 17E
To determine
Provide the function in the form of
Calculate the value of
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3. We'd like to know the first time when the population reaches 7000 people. First, graph the
function from part (a) on your calculator or Desmos. In the same window, graph the line y =
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7000! Investigate the intersection of the two graphs. (This video shows you how to find the
intersection on your calculator, or in Desmos just hover the cursor over the point.) At what
value t> 0 does the line intersect with your exponential function? Round your answer to two
decimal places. (You don't need to show work for this part.) (2 points)
Suppose the planet of Tattooine currently has a population of 6500 people and an annual growth rate of
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A house was valued at $95,000 in the year 1988. The value appreciated to $170,000 by the year 2007.
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Round the growth rate to 4 decimal places.
r =
B) What is the correct answer to part A written in percentage form?
r = 3
%.
Chapter 3 Solutions
University Calculus: Early Transcendentals, Loose-leaf Edition (4th Edition)
Ch. 3.1 - In Exercises 14, use the grid and a straight edge...Ch. 3.1 - In Exercises 1-4, use the grid and a straight edge...Ch. 3.1 - In Exercises 1−4, use the grid and a straight edge...Ch. 3.1 - In Exercises 1−4, use the grid and a straight edge...Ch. 3.1 - In Exercises510, find an equation for the tangent...Ch. 3.1 - In Exercises 510, find an equation for the tangent...Ch. 3.1 - In Exercises 5(10, find an equation for the...Ch. 3.1 - In Exercises 510, find an equation for the tangent...Ch. 3.1 - Prob. 9ECh. 3.1 - Prob. 10E
Ch. 3.1 - In Exercises 1118, find the slope of the...Ch. 3.1 - In Exercises 11–18, find the slope of the...Ch. 3.1 - Prob. 13ECh. 3.1 - Prob. 14ECh. 3.1 - Prob. 15ECh. 3.1 - In Exercises 11–18, find the slope of the...Ch. 3.1 - Prob. 17ECh. 3.1 - Prob. 18ECh. 3.1 - In Exercises 19–22, find the slope of the curve at...Ch. 3.1 - In Exercises 19–22, find the slope of the curve at...Ch. 3.1 - Prob. 21ECh. 3.1 - Prob. 22ECh. 3.1 - Prob. 23ECh. 3.1 - Effectiveness of a drug On a scale from 0 to 1,...Ch. 3.1 - Prob. 25ECh. 3.1 - Prob. 26ECh. 3.1 - Prob. 27ECh. 3.1 - Prob. 28ECh. 3.1 - Prob. 29ECh. 3.1 - Speed of a rocket At t sec after liftoff, the...Ch. 3.1 - Prob. 31ECh. 3.1 - Prob. 32ECh. 3.1 - Prob. 33ECh. 3.1 - Prob. 34ECh. 3.1 - Prob. 35ECh. 3.1 - Prob. 36ECh. 3.1 - We say that a continuous curve y = f(x) has a...Ch. 3.1 - Prob. 38ECh. 3.1 - Prob. 39ECh. 3.1 - Prob. 40ECh. 3.1 - Prob. 41ECh. 3.1 - Prob. 42ECh. 3.1 - Prob. 43ECh. 3.1 - Graph the curves in Exercises 39–48.
Where do the...Ch. 3.1 - Prob. 45ECh. 3.1 - Prob. 46ECh. 3.1 - Prob. 47ECh. 3.1 - Prob. 48ECh. 3.2 - Using the definition, calculate the derivatives of...Ch. 3.2 - Using the definition, calculate the derivatives of...Ch. 3.2 - Using the definition, calculate the derivatives of...Ch. 3.2 - Prob. 4ECh. 3.2 - Using the definition, calculate the derivatives of...Ch. 3.2 - Prob. 6ECh. 3.2 - In Exercises 712, find the indicated derivatives....Ch. 3.2 - In Exercises 7–12, find the indicated...Ch. 3.2 - Prob. 9ECh. 3.2 - Prob. 10ECh. 3.2 - Prob. 11ECh. 3.2 - In Exercises 7–12, find the indicated...Ch. 3.2 - Prob. 13ECh. 3.2 - Prob. 14ECh. 3.2 - Prob. 15ECh. 3.2 - In Exercises 13–16, differentiate the functions...Ch. 3.2 - In Exercises 17–18, differentiate the functions....Ch. 3.2 - Prob. 18ECh. 3.2 - In Exercises 19–22, find the values of the...Ch. 3.2 - Prob. 20ECh. 3.2 - In Exercises 19–22, find the values of the...Ch. 3.2 - Prob. 22ECh. 3.2 - Prob. 23ECh. 3.2 - Use the formula
to find the derivative of the...Ch. 3.2 - Prob. 25ECh. 3.2 - Use the formula
to find the derivative of the...Ch. 3.2 - Prob. 27ECh. 3.2 - Prob. 28ECh. 3.2 - Prob. 29ECh. 3.2 - Prob. 30ECh. 3.2 - Prob. 31ECh. 3.2 - Prob. 32ECh. 3.2 - Prob. 33ECh. 3.2 - Prob. 34ECh. 3.2 - Prob. 35ECh. 3.2 - Prob. 36ECh. 3.2 - Compute the right-hand and left-hand derivatives...Ch. 3.2 - Prob. 38ECh. 3.2 - Prob. 39ECh. 3.2 - Prob. 40ECh. 3.2 - Prob. 41ECh. 3.2 - Prob. 42ECh. 3.2 - Prob. 43ECh. 3.2 - Prob. 44ECh. 3.2 - Each figure in Exercises 45-50 shows the graph of...Ch. 3.2 - Each figure in Exercises 45-50 shows the graph of...Ch. 3.2 - Each figure in Exercises 45-50 shows the graph of...Ch. 3.2 - Each figure in Exercises 45–50 shows the graph of...Ch. 3.2 - Prob. 49ECh. 3.2 - Prob. 50ECh. 3.2 - Prob. 51ECh. 3.2 - Prob. 52ECh. 3.2 - Prob. 53ECh. 3.2 - Prob. 54ECh. 3.2 - Prob. 55ECh. 3.2 - Prob. 56ECh. 3.2 - Prob. 57ECh. 3.2 - Prob. 58ECh. 3.2 - Prob. 59ECh. 3.2 - Prob. 60ECh. 3.2 - Prob. 61ECh. 3.2 - Prob. 62ECh. 3.2 - Prob. 63ECh. 3.2 - Prob. 64ECh. 3.3 - Derivative Calculations In Exercises 112, find the...Ch. 3.3 - Derivative Calculations
In Exercises 112, find the...Ch. 3.3 - Derivative Calculations In Exercises 112, find the...Ch. 3.3 - Prob. 4ECh. 3.3 - Derivative Calculations In Exercises 112, find the...Ch. 3.3 - Derivative Calculations
In Exercises 112, find the...Ch. 3.3 - Derivative Calculations In Exercises 112, find the...Ch. 3.3 - Prob. 8ECh. 3.3 - Derivative Calculations
In Exercises 112, find the...Ch. 3.3 - Prob. 10ECh. 3.3 - Derivative Calculations
In Exercises 112, find the...Ch. 3.3 - Prob. 12ECh. 3.3 - In Exercises 1316, find y'(a) by applying the...Ch. 3.3 - Prob. 14ECh. 3.3 - In Exercises 1316, find y' (a) by applying the...Ch. 3.3 - Prob. 16ECh. 3.3 - Find the derivatives of the functions in Exercises...Ch. 3.3 - Prob. 18ECh. 3.3 - Find the derivatives of the functions in Exercises...Ch. 3.3 - Find the derivatives of the functions in Exercises...Ch. 3.3 - Find the derivatives of the functions in Exercises...Ch. 3.3 - Find the derivatives of the functions in Exercises...Ch. 3.3 - Find the derivatives of the functions in Exercises...Ch. 3.3 - Prob. 24ECh. 3.3 - Find the derivatives of the functions in Exercises...Ch. 3.3 - Prob. 26ECh. 3.3 - Find the derivatives of the functions in Exercises...Ch. 3.3 - Prob. 28ECh. 3.3 - Prob. 29ECh. 3.3 - Find the derivatives of the functions in Exercises...Ch. 3.3 - Find the derivatives of the functions in Exercises...Ch. 3.3 - Prob. 32ECh. 3.3 - Prob. 33ECh. 3.3 - Prob. 34ECh. 3.3 - Prob. 35ECh. 3.3 - Prob. 36ECh. 3.3 - Prob. 37ECh. 3.3 - Prob. 38ECh. 3.3 - Prob. 39ECh. 3.3 - Find the derivatives of the functions in Exercises...Ch. 3.3 - Find the derivatives of all orders of the...Ch. 3.3 - Find the derivatives of all orders of the...Ch. 3.3 - Prob. 43ECh. 3.3 - Prob. 44ECh. 3.3 - Find the first and second derivatives of the...Ch. 3.3 - Prob. 46ECh. 3.3 - Prob. 47ECh. 3.3 - Prob. 48ECh. 3.3 - Prob. 49ECh. 3.3 - Prob. 50ECh. 3.3 - Prob. 51ECh. 3.3 - Prob. 52ECh. 3.3 - Prob. 53ECh. 3.3 - Prob. 54ECh. 3.3 - Prob. 55ECh. 3.3 - Prob. 56ECh. 3.3 - Prob. 57ECh. 3.3 - Prob. 58ECh. 3.3 - Prob. 59ECh. 3.3 - Prob. 60ECh. 3.3 - Prob. 61ECh. 3.3 - Prob. 62ECh. 3.3 - Prob. 63ECh. 3.3 - Prob. 64ECh. 3.3 - Prob. 65ECh. 3.3 - Prob. 66ECh. 3.3 - Prob. 67ECh. 3.3 - Prob. 68ECh. 3.3 - Prob. 69ECh. 3.3 - Prob. 70ECh. 3.3 - Prob. 71ECh. 3.3 - Prob. 72ECh. 3.3 - Prob. 73ECh. 3.3 - Prob. 74ECh. 3.3 - Prob. 75ECh. 3.3 - The Reciprocal Rule
The Reciprocal Rule says that...Ch. 3.3 - Prob. 77ECh. 3.3 - Prob. 78ECh. 3.3 - Prob. 79ECh. 3.3 - Prob. 80ECh. 3.4 - Exercises 16 give the positions s = f(t) of a body...Ch. 3.4 - Exercises 1–6 give the positions s = f(t) of a...Ch. 3.4 - Prob. 3ECh. 3.4 - Exercises 1–6 give the positions s = f(t) of a...Ch. 3.4 - Prob. 5ECh. 3.4 - Prob. 6ECh. 3.4 - Particle motion At time t, the position of a body...Ch. 3.4 - Particle motion At time t ≥ 0, the velocity of a...Ch. 3.4 - Free fall on Mars and Jupiter The equations for...Ch. 3.4 - Prob. 10ECh. 3.4 - Prob. 11ECh. 3.4 - Speeding bullet A 45-caliber bullet shot straight...Ch. 3.4 - Free fall from the Tower of Pisa Had Galileo...Ch. 3.4 - Prob. 14ECh. 3.4 - Prob. 15ECh. 3.4 - A particle P moves on the number line shown in...Ch. 3.4 - Prob. 17ECh. 3.4 - Prob. 18ECh. 3.4 - Prob. 19ECh. 3.4 - Prob. 20ECh. 3.4 - Prob. 21ECh. 3.4 - Prob. 22ECh. 3.4 - Prob. 23ECh. 3.4 - Body surface area A typical male’s body surface...Ch. 3.4 - Prob. 25ECh. 3.4 - Prob. 26ECh. 3.4 - Prob. 27ECh. 3.4 - Inflating a balloon The volume V = (4/3)πr3 of a...Ch. 3.4 - Prob. 29ECh. 3.4 - Volcanic lava fountains Although the November 1959...Ch. 3.4 - Prob. 31ECh. 3.4 - Prob. 32ECh. 3.4 - Exercises 31–34 give the position function s =...Ch. 3.4 - Prob. 34ECh. 3.5 - In Exercises 1–18, find dy/dx.
1. y = −10x + 3 cos...Ch. 3.5 - In Exercises 1–18, find dy/dx.
2.
Ch. 3.5 - In Exercises 118, find dy/dx. 3. y = x2cos xCh. 3.5 - Prob. 4ECh. 3.5 - In Exercises 118, find dy/dx. 5. y=cscx4x+7exCh. 3.5 - Prob. 6ECh. 3.5 - In Exercises 118, find dy/dx. 7. f(x) = sin x tan...Ch. 3.5 - Prob. 8ECh. 3.5 - In Exercises 1–18, find dy/dx.
9.
Ch. 3.5 - Prob. 10ECh. 3.5 - Prob. 11ECh. 3.5 - Prob. 12ECh. 3.5 - Prob. 13ECh. 3.5 - Prob. 14ECh. 3.5 - Prob. 15ECh. 3.5 - Prob. 16ECh. 3.5 - Prob. 17ECh. 3.5 - Prob. 18ECh. 3.5 - Prob. 19ECh. 3.5 - Prob. 20ECh. 3.5 - Prob. 21ECh. 3.5 - Prob. 22ECh. 3.5 - Prob. 23ECh. 3.5 - Prob. 24ECh. 3.5 - Prob. 25ECh. 3.5 - Prob. 26ECh. 3.5 - Prob. 27ECh. 3.5 - Prob. 28ECh. 3.5 - Prob. 29ECh. 3.5 - Prob. 30ECh. 3.5 - Prob. 31ECh. 3.5 - Prob. 32ECh. 3.5 - Prob. 33ECh. 3.5 - Prob. 34ECh. 3.5 - Prob. 35ECh. 3.5 - Prob. 36ECh. 3.5 - Prob. 37ECh. 3.5 - Prob. 38ECh. 3.5 - Do the graphs of the functions in Exercises 39–44...Ch. 3.5 - Do the graphs of the functions in Exercises 39–44...Ch. 3.5 - Do the graphs of the functions in Exercises 39–44...Ch. 3.5 - Prob. 42ECh. 3.5 - Prob. 43ECh. 3.5 - Prob. 44ECh. 3.5 - Prob. 45ECh. 3.5 - Prob. 46ECh. 3.5 - Prob. 47ECh. 3.5 - Prob. 48ECh. 3.5 - Prob. 49ECh. 3.5 - Prob. 50ECh. 3.5 - Prob. 51ECh. 3.5 - Prob. 52ECh. 3.5 - Prob. 53ECh. 3.5 - Prob. 54ECh. 3.5 - Prob. 55ECh. 3.5 - Prob. 56ECh. 3.5 - The equations in Exercises 57 and 58 give the...Ch. 3.5 - Prob. 58ECh. 3.5 - Prob. 59ECh. 3.5 - Prob. 60ECh. 3.5 - Prob. 61ECh. 3.5 - Prob. 62ECh. 3.5 - Prob. 63ECh. 3.5 - Prob. 64ECh. 3.5 - Prob. 65ECh. 3.5 - Prob. 66ECh. 3.5 - Prob. 67ECh. 3.5 - Prob. 68ECh. 3.5 - Prob. 69ECh. 3.5 - Prob. 70ECh. 3.6 - Derivative Calculations In Exercises 18, given y =...Ch. 3.6 - Derivative Calculations
In Exercises 1–8, given y...Ch. 3.6 - Derivative Calculation
In Exercises 1–8, given y =...Ch. 3.6 - Derivative Calculations
In Exercises 1–8, given y...Ch. 3.6 - Derivation Calculations
In Exercises 1–8, given y...Ch. 3.6 - Prob. 6ECh. 3.6 - Prob. 7ECh. 3.6 - Derivative Calculations
In Exercises 1–8, given y...Ch. 3.6 - In Exercises 922, write the function in the form y...Ch. 3.6 - Prob. 10ECh. 3.6 - In Exercises 922, write the function in the form y...Ch. 3.6 - In Exercises 9–22, write the function in the form...Ch. 3.6 - In Exercises 922, write the function in the form y...Ch. 3.6 - Prob. 14ECh. 3.6 - In Exercises 922, write the function in the form y...Ch. 3.6 - In Exercises 9–22, write the function in the form...Ch. 3.6 - Prob. 17ECh. 3.6 - Prob. 18ECh. 3.6 - Prob. 19ECh. 3.6 - In Exercises 9–22, write the function in the form...Ch. 3.6 - In Exercises 922, write the function in the form y...Ch. 3.6 - Prob. 22ECh. 3.6 - Find the derivatives of the functions in Exercises...Ch. 3.6 - Find the derivatives of the functions in Exercises...Ch. 3.6 - Find the derivatives of the functions in Exercises...Ch. 3.6 - Find the derivatives of the functions in Exercises...Ch. 3.6 - Find the derivatives of the functions in Exercises...Ch. 3.6 - Find the derivatives of the functions in Exercises...Ch. 3.6 - Find the derivatives of the functions in Exercises...Ch. 3.6 - Find the derivatives of the functions in Exercises...Ch. 3.6 - Find the derivatives of the functions in Exercises...Ch. 3.6 - Find the derivatives of the functions in Exercises...Ch. 3.6 - Find the derivatives of the functions in Exercises...Ch. 3.6 - Prob. 34ECh. 3.6 - Find the derivatives of the functions in Exercises...Ch. 3.6 - Find the derivatives of the functions in Exercises...Ch. 3.6 - Find the derivatives of the functions in Exercises...Ch. 3.6 - Prob. 38ECh. 3.6 - Find the derivatives of the functions in Exercises...Ch. 3.6 - Find the derivatives of the functions in Exercises...Ch. 3.6 - Prob. 41ECh. 3.6 - Prob. 42ECh. 3.6 - Find the derivatives of the functions in Exercises...Ch. 3.6 - Find the derivatives of the functions in Exercises...Ch. 3.6 - Prob. 45ECh. 3.6 - Prob. 46ECh. 3.6 - Prob. 47ECh. 3.6 - Find the derivatives of the functions in Exercises...Ch. 3.6 - Prob. 49ECh. 3.6 - Prob. 50ECh. 3.6 - Prob. 51ECh. 3.6 - In Exercises 51–70, find dy/dt.
52. y = sec2 πt
Ch. 3.6 - Prob. 53ECh. 3.6 - Prob. 54ECh. 3.6 - Prob. 55ECh. 3.6 - In Exercises 51–70, find dy/dt.
56. y = (t−3/4 sin...Ch. 3.6 - Prob. 57ECh. 3.6 - Prob. 58ECh. 3.6 - Prob. 59ECh. 3.6 - In Exercises 51–70, find dy/dt.
60.
Ch. 3.6 - Prob. 61ECh. 3.6 - Prob. 62ECh. 3.6 - Prob. 63ECh. 3.6 - In Exercises 51–70, find dy/dt.
64.
Ch. 3.6 - Prob. 65ECh. 3.6 - Prob. 66ECh. 3.6 - Prob. 67ECh. 3.6 - In Exercises 51–70, find dy/dt.
68. y = cos4(sec2...Ch. 3.6 - Prob. 69ECh. 3.6 - Prob. 70ECh. 3.6 - Prob. 71ECh. 3.6 - Second Derivatives
Find y″ in Exercises 71–78.
72....Ch. 3.6 - Prob. 73ECh. 3.6 - Prob. 74ECh. 3.6 - Prob. 75ECh. 3.6 - Second Derivatives
Find y″ in Exercises 71–78.
76....Ch. 3.6 - Prob. 77ECh. 3.6 - Prob. 78ECh. 3.6 - Prob. 79ECh. 3.6 - For each of the following functions, solve both...Ch. 3.6 - Finding Derivative values
In Exercises 81–86, find...Ch. 3.6 - Prob. 82ECh. 3.6 - Prob. 83ECh. 3.6 - Finding Derivative values
In Exercises 81–86, find...Ch. 3.6 - Prob. 85ECh. 3.6 - Prob. 86ECh. 3.6 - Prob. 87ECh. 3.6 - If r = sin(f(t)), f(0) = π/3, and f′(0) = 4, then...Ch. 3.6 - Prob. 89ECh. 3.6 - Prob. 90ECh. 3.6 - Prob. 91ECh. 3.6 - Prob. 92ECh. 3.6 - Prob. 93ECh. 3.6 - Prob. 94ECh. 3.6 - Prob. 95ECh. 3.6 - Find the tangent line to at x = 2.
Ch. 3.6 - Find the tangent line to the curve at x =...Ch. 3.6 - Prob. 98ECh. 3.6 - Prob. 99ECh. 3.6 - The graph in the accompanying figure shows the...Ch. 3.6 - Prob. 101ECh. 3.6 - Prob. 102ECh. 3.6 - Prob. 103ECh. 3.6 - Prob. 104ECh. 3.6 - Prob. 105ECh. 3.6 - Prob. 106ECh. 3.6 - Prob. 107ECh. 3.6 - Prob. 108ECh. 3.6 - Using the Chain Rule, show that the Power Rule...Ch. 3.6 - Prob. 110ECh. 3.6 - Prob. 111ECh. 3.6 - Prob. 112ECh. 3.6 - Verify each of the following statements.
If f is...Ch. 3.6 - Prob. 114ECh. 3.6 - Prob. 115ECh. 3.7 - Differentiating Implicitly
Use implicit...Ch. 3.7 - Differentiating Implicitly
Use implicit...Ch. 3.7 - Differentiating Implicitly
Use implicit...Ch. 3.7 - Differentiating Implicitly
Use implicit...Ch. 3.7 - Prob. 5ECh. 3.7 - Differentiating Implicitly
Use implicit...Ch. 3.7 - Differentiating Implicitly
Use implicit...Ch. 3.7 - Differentiating Implicitly
Use implicit...Ch. 3.7 - Differentiating implicitly
Use implicit...Ch. 3.7 - Prob. 10ECh. 3.7 - Prob. 11ECh. 3.7 - Use implicit differentiation to find dy/dx in...Ch. 3.7 - Prob. 13ECh. 3.7 - Prob. 14ECh. 3.7 - Prob. 15ECh. 3.7 - Differentiating Implicitly
Use implicit...Ch. 3.7 - Find dr/dθ in Exercises 17-20.
Ch. 3.7 - Prob. 18ECh. 3.7 - Find dr / d in Exercises 17–20.
Ch. 3.7 - Find dr / d in Exercises 17–20.
cos r + cot =...Ch. 3.7 - In Exercises 21−28, use implicit differentiation...Ch. 3.7 - Prob. 22ECh. 3.7 - In Exercises 21–28, use implicit differentiation...Ch. 3.7 - In Exercises 21–28, use implicit differentiation...Ch. 3.7 - Prob. 25ECh. 3.7 - Prob. 26ECh. 3.7 - Prob. 27ECh. 3.7 - In Exercises 21–28, use implicit differentiation...Ch. 3.7 - Prob. 29ECh. 3.7 - If , find the value of at the point (0, –1).
Ch. 3.7 - Prob. 31ECh. 3.7 - In Exercises 31 and 32, find the slope of the...Ch. 3.7 - Prob. 33ECh. 3.7 - Prob. 34ECh. 3.7 - Prob. 35ECh. 3.7 - In Exercises 33−42, verify that the given point is...Ch. 3.7 - Prob. 37ECh. 3.7 - Prob. 38ECh. 3.7 - In Exercises 33−42, verify that the given point is...Ch. 3.7 - Exercises 33–42, verify that the given point is on...Ch. 3.7 - Prob. 41ECh. 3.7 - In Exercises 33−42, verify that the given point is...Ch. 3.7 - Prob. 43ECh. 3.7 - Normal lines parallel to a line Find the normal...Ch. 3.7 - Prob. 45ECh. 3.7 - Prob. 46ECh. 3.7 - Prob. 47ECh. 3.7 - Prob. 48ECh. 3.7 - Prob. 49ECh. 3.7 - Prob. 50ECh. 3.7 - Prob. 51ECh. 3.7 - Prob. 52ECh. 3.7 - Prob. 53ECh. 3.7 - Prob. 54ECh. 3.7 - Prob. 55ECh. 3.7 - Prob. 56ECh. 3.7 - Prob. 57ECh. 3.7 - Prob. 58ECh. 3.8 - In Exercises 1–4:
Find f–1(x).
Graph f and f–1...Ch. 3.8 - Prob. 2ECh. 3.8 - Prob. 3ECh. 3.8 - Prob. 4ECh. 3.8 - Prob. 5ECh. 3.8 - Prob. 6ECh. 3.8 - Prob. 7ECh. 3.8 - Prob. 8ECh. 3.8 - Prob. 9ECh. 3.8 - Prob. 10ECh. 3.8 - Derivatives of Logarithms In Exercises 1140, find...Ch. 3.8 - Prob. 12ECh. 3.8 - Derivatives of Logarithms In Exercises 1140, find...Ch. 3.8 - Derivatives of Logarithms
In Exercises 11–40, find...Ch. 3.8 - Derivatives of Logarithms In Exercises 1140, find...Ch. 3.8 - Prob. 16ECh. 3.8 - Prob. 17ECh. 3.8 - Prob. 18ECh. 3.8 - Derivatives of Logarithms In Exercises 11-40, find...Ch. 3.8 - Prob. 20ECh. 3.8 - Derivatives of Logarithms In Exercises 11-40, find...Ch. 3.8 - Prob. 22ECh. 3.8 - Prob. 23ECh. 3.8 - In Exercises 11-40, find the derivative of y with...Ch. 3.8 - Prob. 25ECh. 3.8 - Prob. 26ECh. 3.8 - Prob. 27ECh. 3.8 - Prob. 28ECh. 3.8 - Prob. 29ECh. 3.8 - In Exercises 11-40, find the derivative of y with...Ch. 3.8 - Prob. 31ECh. 3.8 - Prob. 32ECh. 3.8 - Prob. 33ECh. 3.8 - Prob. 34ECh. 3.8 - In Exercises 11-40, find the derivative of y with...Ch. 3.8 - Prob. 36ECh. 3.8 - Prob. 37ECh. 3.8 - In Exercises 11-40, find the derivative of y with...Ch. 3.8 - Prob. 39ECh. 3.8 - Prob. 40ECh. 3.8 - Prob. 41ECh. 3.8 - Prob. 42ECh. 3.8 - Prob. 43ECh. 3.8 - Prob. 44ECh. 3.8 - Prob. 45ECh. 3.8 - Prob. 46ECh. 3.8 - Prob. 47ECh. 3.8 - In Exercises 41-54, use logarithmic...Ch. 3.8 - Prob. 49ECh. 3.8 - Prob. 50ECh. 3.8 - Prob. 51ECh. 3.8 - Prob. 52ECh. 3.8 - Prob. 53ECh. 3.8 - In Exercises 41-54, use logarithmic...Ch. 3.8 - In Exercises 55-62, find the derivative of y with...Ch. 3.8 - In Exercises 55-62, find the derivative of y with...Ch. 3.8 - In Exercises 55-62, find the derivative of y with...Ch. 3.8 - Prob. 58ECh. 3.8 - Prob. 59ECh. 3.8 - Prob. 60ECh. 3.8 - Prob. 61ECh. 3.8 - Prob. 62ECh. 3.8 - Prob. 63ECh. 3.8 - Prob. 64ECh. 3.8 - Prob. 65ECh. 3.8 - Prob. 66ECh. 3.8 - Prob. 67ECh. 3.8 - In Exercises 67-88, find the derivative of y with...Ch. 3.8 - In Exercises 67-88, find the derivative of y with...Ch. 3.8 - Prob. 70ECh. 3.8 - Prob. 71ECh. 3.8 - Prob. 72ECh. 3.8 - Prob. 73ECh. 3.8 - Prob. 74ECh. 3.8 - Prob. 75ECh. 3.8 - Prob. 76ECh. 3.8 - Prob. 77ECh. 3.8 - Prob. 78ECh. 3.8 - Prob. 79ECh. 3.8 - Prob. 80ECh. 3.8 - Prob. 81ECh. 3.8 - In Exercises 67-88, find the derivative of y with...Ch. 3.8 - Prob. 83ECh. 3.8 - Prob. 84ECh. 3.8 - Prob. 85ECh. 3.8 - Prob. 86ECh. 3.8 - Prob. 87ECh. 3.8 - Prob. 88ECh. 3.8 - Prob. 89ECh. 3.8 - Prob. 90ECh. 3.8 - Prob. 91ECh. 3.8 - Prob. 92ECh. 3.8 - Prob. 93ECh. 3.8 - Prob. 94ECh. 3.8 - In Exercises 89−100, use logarithmic...Ch. 3.8 - Prob. 96ECh. 3.8 - In Exercises 89−100, use logarithmic...Ch. 3.8 - Prob. 98ECh. 3.8 - Prob. 99ECh. 3.8 - Prob. 100ECh. 3.8 - Prob. 101ECh. 3.8 - Prob. 102ECh. 3.8 - Prob. 103ECh. 3.8 - Prob. 104ECh. 3.9 - Use reference triangles in an appropriate...Ch. 3.9 - Prob. 2ECh. 3.9 - Prob. 3ECh. 3.9 - Prob. 4ECh. 3.9 - Prob. 5ECh. 3.9 - Prob. 6ECh. 3.9 - Prob. 7ECh. 3.9 - Prob. 8ECh. 3.9 - Prob. 9ECh. 3.9 - Prob. 10ECh. 3.9 - Prob. 11ECh. 3.9 - Prob. 12ECh. 3.9 - Prob. 13ECh. 3.9 - Prob. 14ECh. 3.9 - Prob. 15ECh. 3.9 - Prob. 16ECh. 3.9 - Prob. 17ECh. 3.9 - Prob. 18ECh. 3.9 - Prob. 19ECh. 3.9 - Prob. 20ECh. 3.9 - In Exercises 2142, find the derivative of y with...Ch. 3.9 - Prob. 22ECh. 3.9 - Prob. 23ECh. 3.9 - Prob. 24ECh. 3.9 - Prob. 25ECh. 3.9 - Prob. 26ECh. 3.9 - Prob. 27ECh. 3.9 - Prob. 28ECh. 3.9 - Prob. 29ECh. 3.9 - Prob. 30ECh. 3.9 - In Exercises 21–42, find the derivative of y with...Ch. 3.9 - In Exercises 21–42, find the derivative of y with...Ch. 3.9 - Prob. 33ECh. 3.9 - Prob. 34ECh. 3.9 - Prob. 35ECh. 3.9 - Prob. 36ECh. 3.9 - Prob. 37ECh. 3.9 - Prob. 38ECh. 3.9 - Prob. 39ECh. 3.9 - Prob. 40ECh. 3.9 - In Exercises 21–42, find the derivative of y with...Ch. 3.9 - In Exercises 21–42, find the derivative of y with...Ch. 3.9 - For problems 43-46 use implicit differentiation to...Ch. 3.9 - For problems 43-46 use implicit differentiation to...Ch. 3.9 - For problems 43-46 use implicit differentiation to...Ch. 3.9 - Prob. 46ECh. 3.9 - Prob. 47ECh. 3.9 - Prob. 48ECh. 3.9 - Prob. 49ECh. 3.9 - Prob. 50ECh. 3.9 - Prob. 51ECh. 3.9 - Prob. 52ECh. 3.9 - Prob. 53ECh. 3.9 - Prob. 54ECh. 3.9 - Prob. 55ECh. 3.9 - Prob. 56ECh. 3.9 - Prob. 57ECh. 3.9 - Prob. 58ECh. 3.9 - Prob. 59ECh. 3.9 - Prob. 60ECh. 3.9 - Prob. 61ECh. 3.9 - Prob. 62ECh. 3.9 - Prob. 63ECh. 3.9 - Prob. 64ECh. 3.9 - Prob. 65ECh. 3.9 - Prob. 66ECh. 3.9 - Prob. 67ECh. 3.9 - Prob. 68ECh. 3.9 - Prob. 69ECh. 3.9 - Prob. 70ECh. 3.10 - Area Suppose that the radius r and area A = pr2of...Ch. 3.10 - Surface area Suppose that the radius r and surface...Ch. 3.10 - Prob. 3ECh. 3.10 - Prob. 4ECh. 3.10 - Prob. 5ECh. 3.10 - Prob. 6ECh. 3.10 - Prob. 7ECh. 3.10 - Prob. 8ECh. 3.10 - Prob. 9ECh. 3.10 - If r + s2 + v3 = 12, dr/dt = 4, and ds/dt = −3,...Ch. 3.10 - Prob. 11ECh. 3.10 - Prob. 12ECh. 3.10 - Prob. 13ECh. 3.10 - Prob. 14ECh. 3.10 - Prob. 15ECh. 3.10 - Prob. 16ECh. 3.10 - Distance Let x and y be functions of t, and let ...Ch. 3.10 - Diagonals If x, y, and z are lengths of the edges...Ch. 3.10 - Area The area A of a triangle with sides of...Ch. 3.10 - Prob. 20ECh. 3.10 - Changing dimensions in a rectangle The length l of...Ch. 3.10 - Prob. 22ECh. 3.10 - Prob. 23ECh. 3.10 - Prob. 24ECh. 3.10 - Prob. 25ECh. 3.10 - Prob. 26ECh. 3.10 - Prob. 27ECh. 3.10 - A draining conical reservoir Water is flowing at...Ch. 3.10 - Prob. 29ECh. 3.10 - Prob. 30ECh. 3.10 - Prob. 31ECh. 3.10 - Prob. 32ECh. 3.10 - A balloon and a bicycle A balloon is rising...Ch. 3.10 - Prob. 34ECh. 3.10 - Prob. 35ECh. 3.10 - Prob. 36ECh. 3.10 - Prob. 37ECh. 3.10 - Videotaping a moving car You are videotaping a...Ch. 3.10 - Prob. 39ECh. 3.10 - Prob. 40ECh. 3.10 - Prob. 41ECh. 3.10 - Prob. 42ECh. 3.10 - Baseball players A baseball diamond is a square 90...Ch. 3.10 - Prob. 44ECh. 3.10 - Prob. 45ECh. 3.10 - Prob. 46ECh. 3.10 - Prob. 47ECh. 3.11 - Prob. 1ECh. 3.11 - Prob. 2ECh. 3.11 - Prob. 3ECh. 3.11 - Prob. 4ECh. 3.11 - Prob. 5ECh. 3.11 - Prob. 6ECh. 3.11 - Prob. 7ECh. 3.11 - Prob. 8ECh. 3.11 - Prob. 9ECh. 3.11 - Prob. 10ECh. 3.11 - Prob. 11ECh. 3.11 - Prob. 12ECh. 3.11 - Prob. 13ECh. 3.11 - Prob. 14ECh. 3.11 - Prob. 15ECh. 3.11 - Prob. 16ECh. 3.11 - Prob. 17ECh. 3.11 - Prob. 18ECh. 3.11 - Prob. 19ECh. 3.11 - Prob. 20ECh. 3.11 - Prob. 21ECh. 3.11 - Prob. 22ECh. 3.11 - Prob. 23ECh. 3.11 - Prob. 24ECh. 3.11 - Prob. 25ECh. 3.11 - Prob. 26ECh. 3.11 - Prob. 27ECh. 3.11 - Prob. 28ECh. 3.11 - Prob. 29ECh. 3.11 - Prob. 30ECh. 3.11 - Prob. 31ECh. 3.11 - Prob. 32ECh. 3.11 - Prob. 33ECh. 3.11 - Prob. 34ECh. 3.11 - Prob. 35ECh. 3.11 - Prob. 36ECh. 3.11 - Prob. 37ECh. 3.11 - Prob. 38ECh. 3.11 - Prob. 39ECh. 3.11 - Prob. 40ECh. 3.11 - Prob. 41ECh. 3.11 - Prob. 42ECh. 3.11 - Prob. 43ECh. 3.11 - Prob. 44ECh. 3.11 - Prob. 45ECh. 3.11 - Prob. 46ECh. 3.11 - Prob. 47ECh. 3.11 - Prob. 48ECh. 3.11 - Prob. 49ECh. 3.11 - Prob. 50ECh. 3.11 - Prob. 51ECh. 3.11 - Prob. 52ECh. 3.11 - Prob. 53ECh. 3.11 - Prob. 54ECh. 3.11 - Prob. 55ECh. 3.11 - Prob. 56ECh. 3.11 - Prob. 57ECh. 3.11 - Prob. 58ECh. 3.11 - Prob. 59ECh. 3.11 - Prob. 60ECh. 3.11 - Prob. 61ECh. 3.11 - Prob. 62ECh. 3.11 - Prob. 63ECh. 3.11 - Prob. 64ECh. 3.11 - Prob. 65ECh. 3.11 - Prob. 66ECh. 3.11 - Prob. 67ECh. 3.11 - Prob. 68ECh. 3 - Prob. 1GYRCh. 3 - What role does the derivative play in defining...Ch. 3 - Prob. 3GYRCh. 3 - Prob. 4GYRCh. 3 - Prob. 5GYRCh. 3 - Prob. 6GYRCh. 3 - Prob. 7GYRCh. 3 - Prob. 8GYRCh. 3 - Prob. 9GYRCh. 3 - Prob. 10GYRCh. 3 - Prob. 11GYRCh. 3 - Prob. 12GYRCh. 3 - Prob. 13GYRCh. 3 - Prob. 14GYRCh. 3 - Prob. 15GYRCh. 3 - Prob. 16GYRCh. 3 - Prob. 17GYRCh. 3 - Prob. 18GYRCh. 3 - Prob. 19GYRCh. 3 - Prob. 20GYRCh. 3 - Prob. 21GYRCh. 3 - Prob. 22GYRCh. 3 - What is the derivative of the natural logarithm...Ch. 3 - Prob. 24GYRCh. 3 - Prob. 25GYRCh. 3 - Prob. 26GYRCh. 3 - Prob. 27GYRCh. 3 - Prob. 28GYRCh. 3 - Prob. 29GYRCh. 3 - Prob. 30GYRCh. 3 - Outline a strategy for solving related rates...Ch. 3 - Prob. 32GYRCh. 3 - Prob. 33GYRCh. 3 - Prob. 1PECh. 3 - Prob. 2PECh. 3 - Prob. 3PECh. 3 - Prob. 4PECh. 3 - Prob. 5PECh. 3 - Prob. 6PECh. 3 - Prob. 7PECh. 3 - Prob. 8PECh. 3 - Prob. 9PECh. 3 - Prob. 10PECh. 3 - Prob. 11PECh. 3 - Prob. 12PECh. 3 - Find the derivatives of the functions in Exercises...Ch. 3 - Prob. 14PECh. 3 - Prob. 15PECh. 3 - Prob. 16PECh. 3 - Find the derivatives of the functions in Exercises...Ch. 3 - Prob. 18PECh. 3 - Prob. 19PECh. 3 - Prob. 20PECh. 3 - Prob. 21PECh. 3 - Prob. 22PECh. 3 - Prob. 23PECh. 3 - Prob. 24PECh. 3 - Prob. 25PECh. 3 - Prob. 26PECh. 3 - Prob. 27PECh. 3 - Prob. 28PECh. 3 - Prob. 29PECh. 3 - Prob. 30PECh. 3 - Prob. 31PECh. 3 - Prob. 32PECh. 3 - Find the derivatives of the functions in Exercises...Ch. 3 - Prob. 34PECh. 3 - Prob. 35PECh. 3 - Prob. 36PECh. 3 - Prob. 37PECh. 3 - Prob. 38PECh. 3 - Prob. 39PECh. 3 - Prob. 40PECh. 3 - Prob. 41PECh. 3 - Prob. 42PECh. 3 - Prob. 43PECh. 3 - Prob. 44PECh. 3 - Prob. 45PECh. 3 - Prob. 46PECh. 3 - Prob. 47PECh. 3 - Prob. 48PECh. 3 - Prob. 49PECh. 3 - Prob. 50PECh. 3 - Prob. 51PECh. 3 - Prob. 52PECh. 3 - Prob. 53PECh. 3 - Find the derivatives of the functions in Exercises...Ch. 3 - Prob. 55PECh. 3 - Prob. 56PECh. 3 - Prob. 57PECh. 3 - Prob. 58PECh. 3 - Prob. 59PECh. 3 - Prob. 60PECh. 3 - Prob. 61PECh. 3 - Prob. 62PECh. 3 - Prob. 63PECh. 3 - Prob. 64PECh. 3 - Prob. 65PECh. 3 - Prob. 66PECh. 3 - Prob. 67PECh. 3 - Prob. 68PECh. 3 - Prob. 69PECh. 3 - Prob. 70PECh. 3 - Prob. 71PECh. 3 - Prob. 72PECh. 3 - Prob. 73PECh. 3 - Prob. 74PECh. 3 - Prob. 75PECh. 3 - Prob. 76PECh. 3 - Prob. 77PECh. 3 - Prob. 78PECh. 3 - Prob. 79PECh. 3 - Prob. 80PECh. 3 - In Exercises 81 and 82, find dr / ds.
81. r cos 2s...Ch. 3 - Prob. 82PECh. 3 - Prob. 83PECh. 3 - Prob. 84PECh. 3 - Prob. 85PECh. 3 - Prob. 86PECh. 3 - Prob. 87PECh. 3 - Prob. 88PECh. 3 - Prob. 89PECh. 3 - Prob. 90PECh. 3 - Prob. 91PECh. 3 - Prob. 92PECh. 3 - Prob. 93PECh. 3 - Prob. 94PECh. 3 - Prob. 95PECh. 3 - Prob. 96PECh. 3 - Prob. 97PECh. 3 - Prob. 98PECh. 3 - Prob. 99PECh. 3 - Prob. 100PECh. 3 - Prob. 101PECh. 3 - Prob. 102PECh. 3 - Prob. 103PECh. 3 - Prob. 104PECh. 3 - Prob. 105PECh. 3 - Prob. 106PECh. 3 - Prob. 107PECh. 3 - Prob. 108PECh. 3 - Prob. 109PECh. 3 - Prob. 110PECh. 3 - Prob. 111PECh. 3 - Prob. 112PECh. 3 - Prob. 113PECh. 3 - Prob. 114PECh. 3 - Prob. 115PECh. 3 - Prob. 116PECh. 3 - Prob. 117PECh. 3 - Prob. 118PECh. 3 - Prob. 119PECh. 3 - Prob. 120PECh. 3 - Prob. 121PECh. 3 - Prob. 122PECh. 3 - Prob. 123PECh. 3 - Prob. 124PECh. 3 - Prob. 125PECh. 3 - Prob. 126PECh. 3 - Prob. 127PECh. 3 - Prob. 128PECh. 3 - Prob. 129PECh. 3 - Prob. 130PECh. 3 - Prob. 131PECh. 3 - Prob. 132PECh. 3 - Prob. 133PECh. 3 - Prob. 134PECh. 3 - Prob. 135PECh. 3 - Prob. 136PECh. 3 - Prob. 137PECh. 3 - Prob. 138PECh. 3 - Prob. 139PECh. 3 - Prob. 140PECh. 3 - Prob. 141PECh. 3 - Prob. 142PECh. 3 - Prob. 143PECh. 3 - Prob. 144PECh. 3 - Prob. 145PECh. 3 - Prob. 146PECh. 3 - Draining a tank Water drains from the conical tank...Ch. 3 - Prob. 148PECh. 3 - Prob. 149PECh. 3 - Prob. 150PECh. 3 - Prob. 151PECh. 3 - Prob. 152PECh. 3 - Prob. 153PECh. 3 - Prob. 154PECh. 3 - Prob. 155PECh. 3 - Prob. 156PECh. 3 - Prob. 157PECh. 3 - Prob. 158PECh. 3 - Prob. 1AAECh. 3 - Prob. 2AAECh. 3 - Prob. 3AAECh. 3 - Prob. 4AAECh. 3 - Prob. 5AAECh. 3 - Prob. 6AAECh. 3 - Prob. 7AAECh. 3 - Prob. 8AAECh. 3 - Prob. 9AAECh. 3 - Prob. 10AAECh. 3 - Prob. 11AAECh. 3 - Prob. 12AAECh. 3 - Prob. 13AAECh. 3 - Prob. 14AAECh. 3 - Prob. 15AAECh. 3 - Prob. 16AAECh. 3 - Prob. 17AAECh. 3 - Prob. 18AAECh. 3 - Prob. 19AAECh. 3 - Prob. 20AAECh. 3 - Prob. 21AAECh. 3 - Prob. 22AAECh. 3 - Suppose that the functions f and g are defined...Ch. 3 - (Continuation of Exercise 23.) Use the result of...Ch. 3 - Prob. 25AAECh. 3 - Prob. 26AAECh. 3 - Prob. 27AAECh. 3 - Prob. 28AAECh. 3 - Prob. 29AAECh. 3 - Prob. 30AAECh. 3 - Prob. 31AAECh. 3 - Prob. 32AAE
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