Student Solutions Manual for Waner/Costenoble's Finite Math and Applied Calculus, 7th
7th Edition
ISBN: 9781337275972
Author: Waner, Stefan; Costenoble, Steven
Publisher: Cengage Learning
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Chapter 12.5, Problem 54E
To determine
The type of information an individual is needed if it is known that how fast quantity is changing and needs to determine how fast second quantity is changing.
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2. [-/1 Points]
DETAILS
MY NOTES
SESSCALCET2 6.5.015.
Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule to approximate the given integral with the specified value of n. (Round your answers to six decimal places.)
ASK YOUR TEACHER
3
1
3 +
dy, n = 6
(a) the Trapezoidal Rule
(b) the Midpoint Rule
(c) Simpson's Rule
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This question builds on an earlier problem. The randomized numbers may have changed, but have your work for the previous problem available to help with this one.
A 4-centimeter rod is attached at one end to a point A rotating counterclockwise on a wheel of radius 2 cm. The other end B is free to move back and forth along a horizontal bar that goes through the center of the wheel. At time t=0 the rod is situated as in the diagram at the left below. The
wheel rotates counterclockwise at 1.5 rev/sec. At some point, the rod will be tangent to the circle as shown in the third picture.
B
A
B
at some instant, the piston will be tangent to the circle
(a) Express the x and y coordinates of point A as functions of t:
x= 2 cos(3πt)
and y= 2 sin(3πt)
(b) Write a formula for the slope of the tangent line to the circle at the point A at time t seconds:
-cot (3πt)
(c) Express the x-coordinate of the right end of the rod at point B as a function of t: 2 cos(3πt) +41/1
(d) Express the slope of the rod…
4. [-/1 Points]
DETAILS
MY NOTES
SESSCALCET2 6.5.024.
Find the approximations Tη, Mn, and S, to the integral
computer algebra system.)
ASK YOUR TEACHER
PRACTICE ANOTHER
4 39
√
dx for n = 6 and 12. Then compute the corresponding errors ET, EM, and Es. (Round your answers to six decimal places. You may wish to use the sum command on a
n
Tn
Mn
Sp
6
12
n
ET
EM
Es
6
12
What observations can you make? In particular, what happens to the errors when n is doubled?
As n is doubled, ET and EM are decreased by a factor of about
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'
and Es is decreased by a factor of about
Chapter 12 Solutions
Student Solutions Manual for Waner/Costenoble's Finite Math and Applied Calculus, 7th
Ch. 12.1 - In Exercises 112, locate and classify all extrema...Ch. 12.1 - In Exercises 112, locate and classify all extrema...Ch. 12.1 - In Exercises 112, locate and classify all extrema...Ch. 12.1 - In Exercises 112, locate and classify all extrema...Ch. 12.1 - In Exercises 112, locate and classify all extrema...Ch. 12.1 - In Exercises 112, locate and classify all extrema...Ch. 12.1 - In Exercises 112, locate and classify all extrema...Ch. 12.1 - In Exercises 112, locate and classify all extrema...Ch. 12.1 - In Exercises 112, locate and classify all extrema...Ch. 12.1 - In Exercises 112, locate and classify all extrema...
Ch. 12.1 - In Exercises 112, locate and classify all extrema...Ch. 12.1 - In Exercises 112, locate and classify all extrema...Ch. 12.1 - In Exercises 13-44, find the exact location of all...Ch. 12.1 - In Exercises 13-44, find the exact location of all...Ch. 12.1 - Prob. 15ECh. 12.1 - Prob. 16ECh. 12.1 - In Exercises 13-44, find the exact location of all...Ch. 12.1 - In Exercises 13-44, find the exact location of all...Ch. 12.1 - Prob. 19ECh. 12.1 - In Exercises 13-44, find the exact location of all...Ch. 12.1 - In Exercises 13-44, find the exact location of all...Ch. 12.1 - In Exercises 13-44, find the exact location of all...Ch. 12.1 - In Exercises 13-44, find the exact location of all...Ch. 12.1 - Prob. 24ECh. 12.1 - In Exercises 13-44, find the exact location of all...Ch. 12.1 - Prob. 26ECh. 12.1 - Prob. 27ECh. 12.1 - Prob. 28ECh. 12.1 - In Exercises 13-44, find the exact location of all...Ch. 12.1 - In Exercises 13-44, find the exact location of all...Ch. 12.1 - In Exercises 13-44, find the exact location of all...Ch. 12.1 - Prob. 32ECh. 12.1 - In Exercises 13-44, find the exact location of all...Ch. 12.1 - Prob. 34ECh. 12.1 - Prob. 35ECh. 12.1 - Prob. 36ECh. 12.1 - In Exercises 13-44, find the exact location of all...Ch. 12.1 - Prob. 38ECh. 12.1 - In Exercises 13-44, find the exact location of all...Ch. 12.1 - Prob. 40ECh. 12.1 - In Exercises 13-44, find the exact location of all...Ch. 12.1 - Prob. 42ECh. 12.1 - In Exercises 13-44, find the exact location of all...Ch. 12.1 - Prob. 44ECh. 12.1 - In Exercises 4548, use graphing technology and the...Ch. 12.1 - Prob. 46ECh. 12.1 - Prob. 47ECh. 12.1 - Prob. 48ECh. 12.1 - In Exercises 4956 the graph of the derivative of a...Ch. 12.1 - Prob. 50ECh. 12.1 - In Exercises 4956 the graph of the derivative of a...Ch. 12.1 - Prob. 52ECh. 12.1 - In Exercises 4956 the graph of the derivative of a...Ch. 12.1 - Prob. 54ECh. 12.1 - Prob. 55ECh. 12.1 - Prob. 56ECh. 12.1 - Prob. 57ECh. 12.1 - Prob. 58ECh. 12.1 - Draw the graph of a function that has stationary...Ch. 12.1 - Prob. 60ECh. 12.1 - Prob. 61ECh. 12.1 - Prob. 62ECh. 12.1 - We said that if f is continuous on a closed...Ch. 12.1 - Prob. 64ECh. 12.1 - Prob. 65ECh. 12.1 - Prob. 66ECh. 12.2 - In Exercises 1-8, solve the given optimization...Ch. 12.2 - In Exercises 1-8, solve the given optimization...Ch. 12.2 - In Exercises 1-8, solve the given optimization...Ch. 12.2 - In Exercises 1-8, solve the given optimization...Ch. 12.2 - In Exercises 1-8, solve the given optimization...Ch. 12.2 - Prob. 6ECh. 12.2 - Prob. 7ECh. 12.2 - Prob. 8ECh. 12.2 - For a rectangle with perimeter 20 to have the...Ch. 12.2 - Prob. 10ECh. 12.2 - Advertising Costs The cost, in thousands of...Ch. 12.2 - Advertising Costs The cost, in billions of...Ch. 12.2 - Average Cost: iPhones Assume that it costs Apple...Ch. 12.2 - Prob. 14ECh. 12.2 - Prob. 15ECh. 12.2 - Prob. 16ECh. 12.2 - Prob. 17ECh. 12.2 - Prob. 18ECh. 12.2 - Fences I would like to create a rectangular...Ch. 12.2 - Fences I would like to create a rectangular orchid...Ch. 12.2 - Prob. 21ECh. 12.2 - Prob. 22ECh. 12.2 - Fences (Compare Exercise 19.) For tax reasons I...Ch. 12.2 - Fences (Compare Exercise 20.) For reasons too...Ch. 12.2 - Revenue Hercules Films is deciding on the price of...Ch. 12.2 - Prob. 26ECh. 12.2 - Prob. 27ECh. 12.2 - Projected Revenue: Smartphones Worldwide annual...Ch. 12.2 - Revenue: Monorail Service The demand for monorail...Ch. 12.2 - Prob. 30ECh. 12.2 - Prob. 31ECh. 12.2 - Prob. 32ECh. 12.2 - Prob. 33ECh. 12.2 - Prob. 34ECh. 12.2 - Profit: Smartphones (Compare Exercise 27.)...Ch. 12.2 - Projected Profit: Smartphones (Compare Exercise...Ch. 12.2 - Prob. 37ECh. 12.2 - Profit Because of sales by a competing company,...Ch. 12.2 - Prob. 39ECh. 12.2 - Metal Drums A company manufactures cylindrical...Ch. 12.2 - Tin Cans A company manufactures cylindrical tin...Ch. 12.2 - Prob. 42ECh. 12.2 - Prob. 43ECh. 12.2 - Prob. 44ECh. 12.2 - Box Design A packaging company is going to make...Ch. 12.2 - Prob. 46ECh. 12.2 - Prob. 47ECh. 12.2 - Carry-on Dimensions American Airlines requires...Ch. 12.2 - Prob. 49ECh. 12.2 - Prob. 50ECh. 12.2 - Package Dimensions The U.S. Postal Service (USPS)...Ch. 12.2 - Prob. 52ECh. 12.2 - Prob. 53ECh. 12.2 - Cellphone Revenues (Refer to Exercise 53.) If we...Ch. 12.2 - Prob. 55ECh. 12.2 - Prob. 56ECh. 12.2 - Prob. 57ECh. 12.2 - Prob. 58ECh. 12.2 - Prob. 59ECh. 12.2 - Prob. 60ECh. 12.2 - Average Profit The FeatureRich Software Company...Ch. 12.2 - Prob. 62ECh. 12.2 - Prob. 63ECh. 12.2 - Resource Allocation Your company is the largest...Ch. 12.2 - Prob. 65ECh. 12.2 - Prob. 66ECh. 12.2 - Prob. 67ECh. 12.2 - Prison Population The prison population in the...Ch. 12.2 - Prob. 69ECh. 12.2 - Prob. 70ECh. 12.2 - Prob. 71ECh. 12.2 - Prob. 72ECh. 12.2 - Prob. 73ECh. 12.2 - Prob. 74ECh. 12.2 - Prob. 75ECh. 12.2 - Agriculture Two years ago, your orange orchard...Ch. 12.2 - Prob. 77ECh. 12.2 - Prob. 78ECh. 12.2 - Prob. 79ECh. 12.2 - Prob. 80ECh. 12.2 - Prob. 81ECh. 12.2 - Prob. 82ECh. 12.2 - Prob. 83ECh. 12.2 - Prob. 84ECh. 12.2 - Prob. 85ECh. 12.2 - Explain how you would solve an optimization...Ch. 12.3 - In Exercises 1-10, calculate d2ydx2. [HINT: See...Ch. 12.3 - Prob. 2ECh. 12.3 - In Exercises 1-10, calculate d2ydx2. [HINT: See...Ch. 12.3 - Prob. 4ECh. 12.3 - In Exercises 1-10, calculate d2ydx2. [HINT: See...Ch. 12.3 - Prob. 6ECh. 12.3 - In Exercises 1-10, calculate d2ydx2. [HINT: See...Ch. 12.3 - In Exercises 1-10, calculate d2ydx2. [HINT: See...Ch. 12.3 - In Exercises 1-10, calculate d2ydx2. [HINT: See...Ch. 12.3 - Prob. 10ECh. 12.3 - In Exercises 1116 the position s of a point (in...Ch. 12.3 - In Exercises 1116 the position s of a point (in...Ch. 12.3 - Prob. 13ECh. 12.3 - In Exercises 1116 the position s of a point (in...Ch. 12.3 - In Exercises 1116 the position s of a point (in...Ch. 12.3 - Prob. 16ECh. 12.3 - Prob. 17ECh. 12.3 - Prob. 18ECh. 12.3 - Prob. 19ECh. 12.3 - Prob. 20ECh. 12.3 - Prob. 21ECh. 12.3 - Prob. 22ECh. 12.3 - In Exercises 1724 the graph of a function is...Ch. 12.3 - Prob. 24ECh. 12.3 - Prob. 25ECh. 12.3 - Prob. 26ECh. 12.3 - Prob. 27ECh. 12.3 - Prob. 28ECh. 12.3 - Prob. 29ECh. 12.3 - Prob. 30ECh. 12.3 - Prob. 31ECh. 12.3 - Prob. 32ECh. 12.3 - Prob. 33ECh. 12.3 - In Exercises 3344, find the x-coordinates of all...Ch. 12.3 - Prob. 35ECh. 12.3 - Prob. 36ECh. 12.3 - Prob. 37ECh. 12.3 - Prob. 38ECh. 12.3 - Prob. 39ECh. 12.3 - Prob. 40ECh. 12.3 - Prob. 41ECh. 12.3 - Prob. 42ECh. 12.3 - Prob. 43ECh. 12.3 - Prob. 44ECh. 12.3 - Prob. 45ECh. 12.3 - Prob. 46ECh. 12.3 - Prob. 47ECh. 12.3 - Prob. 48ECh. 12.3 - Prob. 49ECh. 12.3 - Prob. 50ECh. 12.3 - Prob. 51ECh. 12.3 - Prob. 52ECh. 12.3 - Prob. 53ECh. 12.3 - Prob. 54ECh. 12.3 - Acceleration on Mars If a stone is dropped from a...Ch. 12.3 - Prob. 56ECh. 12.3 - Motion in a Straight Line The position of a...Ch. 12.3 - Motion in a Straight Line The position of a...Ch. 12.3 - Bottled Water Sales Annual sales of bottled water...Ch. 12.3 - Bottled Water Sales Annual U.S. per capita sales...Ch. 12.3 - Embryo Development The daily oxygen consumption of...Ch. 12.3 - Embryo Development The daily oxygen consumption of...Ch. 12.3 - Inflation The following graph shows the...Ch. 12.3 - Prob. 64ECh. 12.3 - Inflation The following graph shows the...Ch. 12.3 - Inflation The following graph shows the...Ch. 12.3 - Prob. 67ECh. 12.3 - Scientific Research: 19832003 The percentage of...Ch. 12.3 - Prob. 69ECh. 12.3 - Prob. 70ECh. 12.3 - Prob. 71ECh. 12.3 - Prob. 72ECh. 12.3 - Epidemics The following graph shows the total...Ch. 12.3 - Prob. 74ECh. 12.3 - Prob. 75ECh. 12.3 - Prob. 76ECh. 12.3 - Prob. 77ECh. 12.3 - Prob. 78ECh. 12.3 - Prob. 79ECh. 12.3 - Prob. 80ECh. 12.3 - Oil Imports from Mexico Daily oil production in...Ch. 12.3 - Oil Imports from Mexico Repeat Exercises 81 using...Ch. 12.3 - Prob. 83ECh. 12.3 - Prob. 84ECh. 12.3 - Prob. 85ECh. 12.3 - Prob. 86ECh. 12.3 - Prob. 87ECh. 12.3 - Prob. 88ECh. 12.3 - Prob. 89ECh. 12.3 - Prob. 90ECh. 12.3 - Prob. 91ECh. 12.3 - Prob. 92ECh. 12.3 - Prob. 93ECh. 12.3 - Prob. 94ECh. 12.3 - Prob. 95ECh. 12.3 - Prob. 96ECh. 12.3 - Prob. 97ECh. 12.3 - Prob. 98ECh. 12.4 - In Exercises 126, sketch the graph of the given...Ch. 12.4 - In Exercises 126, sketch the graph of the given...Ch. 12.4 - In Exercises 126, sketch the graph of the given...Ch. 12.4 - Prob. 4ECh. 12.4 - Prob. 5ECh. 12.4 - Prob. 6ECh. 12.4 - Prob. 7ECh. 12.4 - Prob. 8ECh. 12.4 - Prob. 9ECh. 12.4 - Prob. 10ECh. 12.4 - Prob. 11ECh. 12.4 - Prob. 12ECh. 12.4 - In Exercises 126, sketch the graph of the given...Ch. 12.4 - Prob. 14ECh. 12.4 - Prob. 15ECh. 12.4 - Prob. 16ECh. 12.4 - Prob. 17ECh. 12.4 - Prob. 18ECh. 12.4 - Prob. 19ECh. 12.4 - In Exercises 126, sketch the graph of the given...Ch. 12.4 - Prob. 21ECh. 12.4 - Prob. 22ECh. 12.4 - Prob. 23ECh. 12.4 - Prob. 24ECh. 12.4 - Prob. 25ECh. 12.4 - Prob. 26ECh. 12.4 - Prob. 27ECh. 12.4 - Prob. 28ECh. 12.4 - Prob. 29ECh. 12.4 - Prob. 30ECh. 12.4 - Prob. 31ECh. 12.4 - Prob. 32ECh. 12.4 - Prob. 33ECh. 12.4 - Prob. 34ECh. 12.4 - Consumer Price Index The following graph shows the...Ch. 12.4 - Prob. 36ECh. 12.4 - Prob. 37ECh. 12.4 - Prob. 38ECh. 12.4 - Average Cost: iPhone Assume that is costs Apple...Ch. 12.4 - Average Cost: PlayStation 4s Assume that it costs...Ch. 12.4 - Prob. 41ECh. 12.4 - Subprime Mortgage Debt during the Housing Bubble...Ch. 12.4 - Prob. 43ECh. 12.4 - Prob. 44ECh. 12.4 - Prob. 45ECh. 12.4 - Prob. 46ECh. 12.4 - Prob. 47ECh. 12.4 - Prob. 48ECh. 12.4 - Prob. 49ECh. 12.4 - Prob. 50ECh. 12.5 - Rewrite the statements and questions in Exercises...Ch. 12.5 - Rewrite the statements and questions in Exercises...Ch. 12.5 - Rewrite the statements and questions in Exercises...Ch. 12.5 - Rewrite the statements and questions in Exercises...Ch. 12.5 - Prob. 5ECh. 12.5 - Prob. 6ECh. 12.5 - Prob. 7ECh. 12.5 - Prob. 8ECh. 12.5 - Sunspots The area of a circular sunspot is growing...Ch. 12.5 - Puddles The radius of a circular puddle is growing...Ch. 12.5 - Prob. 11ECh. 12.5 - Prob. 12ECh. 12.5 - End of the Earth In 5 billion years the Sun will...Ch. 12.5 - Prob. 14ECh. 12.5 - Sliding Ladders The base of a 50-foot ladder is...Ch. 12.5 - Prob. 16ECh. 12.5 - Prob. 17ECh. 12.5 - Prob. 18ECh. 12.5 - Prob. 19ECh. 12.5 - Average Cost Repeat Exercise 19, using the revised...Ch. 12.5 - Prob. 21ECh. 12.5 - Supply The number of retro portable CD players you...Ch. 12.5 - Revenue You can now sell 50 cups of lemonade per...Ch. 12.5 - Prob. 24ECh. 12.5 - Prob. 25ECh. 12.5 - Oil Expenditures Daily oil imports to the United...Ch. 12.5 - Resource Allocation Your company manufactures...Ch. 12.5 - Prob. 28ECh. 12.5 - Prob. 29ECh. 12.5 - Prob. 30ECh. 12.5 - Prob. 31ECh. 12.5 - Demand The demand equation for rubies at Royal...Ch. 12.5 - Prob. 33ECh. 12.5 - Prob. 34ECh. 12.5 - Baseball A baseball diamond is a square with side...Ch. 12.5 - Prob. 36ECh. 12.5 - Movement along a Graph A point on the graph of...Ch. 12.5 - Prob. 38ECh. 12.5 - Prob. 39ECh. 12.5 - Prob. 40ECh. 12.5 - Prob. 41ECh. 12.5 - Prob. 42ECh. 12.5 - Cones A right circular conical vessel is being...Ch. 12.5 - More Cones A circular conical vessel is being...Ch. 12.5 - Prob. 45ECh. 12.5 - Prob. 46ECh. 12.5 - Prob. 47ECh. 12.5 - Computers vs. Income Refer back to the model in...Ch. 12.5 - Prob. 49ECh. 12.5 - Prob. 50ECh. 12.5 - Prob. 51ECh. 12.5 - Prob. 52ECh. 12.5 - Prob. 53ECh. 12.5 - Prob. 54ECh. 12.5 - Prob. 55ECh. 12.5 - Prob. 56ECh. 12.5 - Prob. 57ECh. 12.5 - Prob. 58ECh. 12.5 - Prob. 59ECh. 12.5 - Prob. 60ECh. 12.5 - Prob. 61ECh. 12.5 - Prob. 62ECh. 12.6 - Demand for Oranges The weekly sales of Honolulu...Ch. 12.6 - Demand for Oranges Repeat Exercise 1 for weekly...Ch. 12.6 - Demand for Smartphones Worldwide annual sales of...Ch. 12.6 - Prob. 4ECh. 12.6 - Prob. 5ECh. 12.6 - Monorail Services The demand for monorail service...Ch. 12.6 - Tissues The consumer demand equation for tissues...Ch. 12.6 - Bodybuilding The consumer demand curve for...Ch. 12.6 - T-Shirts The Physics Club sells E=mc2 T-shirts at...Ch. 12.6 - Comics The demand curve for original Iguanawoman...Ch. 12.6 - E-Readers The demand for Amazons Kindle e-reader...Ch. 12.6 - Monorail Service on Mars The demand for monorail...Ch. 12.6 - Corn In the 1930s the economist Henry Schultz...Ch. 12.6 - Demand for Fried Chicken A fried chicken franchise...Ch. 12.6 - Paint-By-Number The estimated monthly sales of...Ch. 12.6 - Prob. 16ECh. 12.6 - Prob. 17ECh. 12.6 - Prob. 18ECh. 12.6 - Hyperbolic Demand Functions A general hyperbolic...Ch. 12.6 - Quadratic Demand Functions A general quadratic...Ch. 12.6 - Modeling Linear Demand You have been hired as a...Ch. 12.6 - Modeling Linear Demand You have been hired as a...Ch. 12.6 - Modeling Exponential Demand As the new owner of a...Ch. 12.6 - Prob. 24ECh. 12.6 - Income Elasticity of Demand: Live Drama The...Ch. 12.6 - Prob. 26ECh. 12.6 - Income Elasticity of Demand: Broadband in 2010 The...Ch. 12.6 - Prob. 28ECh. 12.6 - Income Elasticity of Demand: Computer Usage in the...Ch. 12.6 - Prob. 30ECh. 12.6 - Prob. 31ECh. 12.6 - Price Elasticity of Supply Given a supply equation...Ch. 12.6 - Income Elasticity of Demand (based on a question...Ch. 12.6 - Prob. 34ECh. 12.6 - Prob. 35ECh. 12.6 - Prob. 36ECh. 12.6 - Prob. 37ECh. 12.6 - Prob. 38ECh. 12.6 - Prob. 39ECh. 12.6 - Prob. 40ECh. 12 - In Exercises 18, find all the relative and...Ch. 12 - Prob. 2RECh. 12 - Prob. 3RECh. 12 - Prob. 4RECh. 12 - Prob. 5RECh. 12 - Prob. 6RECh. 12 - Prob. 7RECh. 12 - Prob. 8RECh. 12 - Prob. 9RECh. 12 - Prob. 10RECh. 12 - Prob. 11RECh. 12 - Prob. 12RECh. 12 - Prob. 13RECh. 12 - Prob. 14RECh. 12 - Prob. 15RECh. 12 - Prob. 16RECh. 12 - Prob. 17RECh. 12 - Prob. 18RECh. 12 - Prob. 19RECh. 12 - Prob. 20RECh. 12 - Prob. 21RECh. 12 - Prob. 22RECh. 12 - Revenue Demand for the latest best-seller at...Ch. 12 - Prob. 24RECh. 12 - Prob. 25RECh. 12 - Prob. 26RECh. 12 - Office Space Although still a sophomore at...Ch. 12 - Prob. 28RECh. 12 - Box Design The sales department at...Ch. 12 - Prob. 30RECh. 12 - Prob. 31RECh. 12 - Prob. 32RECh. 12 - Prob. 33RECh. 12 - Prob. 34RECh. 12 - Elasticity of Demand (Compare Exercise 23.) Demand...Ch. 12 - Prob. 36RECh. 12 - Prob. 37RECh. 12 - Prob. 38RE
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