Finite Mathematics and Applied Calculus (MindTap Course List)
7th Edition
ISBN: 9781337274203
Author: Stefan Waner, Steven Costenoble
Publisher: Cengage Learning
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Chapter 12.3, Problem 2E
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Chapter 12 Solutions
Finite Mathematics and Applied Calculus (MindTap Course List)
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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- f'(x)arrow_forwardA body of mass m at the top of a 100 m high tower is thrown vertically upward with an initial velocity of 10 m/s. Assume that the air resistance FD acting on the body is proportional to the velocity V, so that FD=kV. Taking g = 9.75 m/s2 and k/m = 5 s, determine: a) what height the body will reach at the top of the tower, b) how long it will take the body to touch the ground, and c) the velocity of the body when it touches the ground.arrow_forwardA chemical reaction involving the interaction of two substances A and B to form a new compound X is called a second order reaction. In such cases it is observed that the rate of reaction (or the rate at which the new compound is formed) is proportional to the product of the remaining amounts of the two original substances. If a molecule of A and a molecule of B combine to form a molecule of X (i.e., the reaction equation is A + B ⮕ X), then the differential equation describing this specific reaction can be expressed as: dx/dt = k(a-x)(b-x) where k is a positive constant, a and b are the initial concentrations of the reactants A and B, respectively, and x(t) is the concentration of the new compound at any time t. Assuming that no amount of compound X is present at the start, obtain a relationship for x(t). What happens when t ⮕∞?arrow_forwardConsider a body of mass m dropped from rest at t = 0. The body falls under the influence of gravity, and the air resistance FD opposing the motion is assumed to be proportional to the square of the velocity, so that FD = kV2. Call x the vertical distance and take the positive direction of the x-axis downward, with origin at the initial position of the body. Obtain relationships for the velocity and position of the body as a function of time t.arrow_forwardAssuming that the rate of change of the price P of a certain commodity is proportional to the difference between demand D and supply S at any time t, the differential equations describing the price fluctuations with respect to time can be expressed as: dP/dt = k(D - s) where k is the proportionality constant whose value depends on the specific commodity. Solve the above differential equation by expressing supply and demand as simply linear functions of price in the form S = aP - b and D = e - fParrow_forwardFind the area of the surface obtained by rotating the circle x² + y² = r² about the line y = r.arrow_forward1) Find the equation of the tangent line to the graph y=xe at the point (1, 1).arrow_forward3) Suppose that f is differentiable on [0, 5], and f'(x) ≤ 3 over this interval. If f(0) = −1, what is the maximum possible value of f(5)?arrow_forward2) Find the maximum value of f(x, y) = x - y on the circle x² + y² - 4x - 2y - 4 = 0.arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
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