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10th Edition

Soo T. Tan

Publisher: Brooks Cole

ISBN: 9781285464640

Chapter 8.4, Problem 26E

Textbook Problem

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**Global Defense Spending** The following table gives the projected global defense spending (in trillions of dollars) from the beginning of 2008 (*t* = 0) through 2015 (*t* = 7):

Year, t |
0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 |

Spending, y |
1.38 | 1.44 | 1.49 | 1.56 | 1.61 | 1.67 | 1.74 | 1.78 |

**a.**Find an equation of the least-squares line for these data.**b.**Use the result of pan (a) to estimate the rate of change in the projected global defense spending from 2008 through 2015.**c.**Assuming that the trend continues, what will the global spending on defense be in 2018?

**a.**

To determine

**To find:** The equation of least-squares line.

**Given:**

The given data is,

Year(t) | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 |

Spending(y) | 1.38 | 1.44 | 1.49 | 1.56 | 1.61 | 1.67 | 1.74 | 1.78 |

**Formula used:**

Suppose that there are *n* data points

Then, the least-squares line for the given data is given by linear equation

The constants *m* and *b* satisfy the normal equations,

And,

**Calculation:**

From the given data, it is observed that

Form the new table is as shown below,

x | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 |

y | 1.38 | 1.44 | 1.49 | 1.56 | 1.61 | 1.67 | 1.74 | 1.78 |

That is,

Thus observe that

Substitute the data points in the normal equation (1) and obtain as,

**b.**

To determine

**To estimate:** The rate of change in the projected global defense spending from 2008 through 2015.

**c.**

To determine

**To find:** The expected global spending on defense in 2018.

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

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How is...Ch. 8.6 - Suppose g1 and g2 are continuous and g1 (x) g2...Ch. 8.6 - PRINTED BY: f0988ba0c4e090b@ placeholder....Ch. 8.6 - What is the average value of f(x, y) over the...Ch. 8.6 - In Exercises 1-25. evaluate the double integral...Ch. 8.6 - In Exercises 1-25. evaluate the double integral...Ch. 8.6 - In Exercises 1-25. evaluate the double integral...Ch. 8.6 - In Exercises 1-25. evaluate the double integral...Ch. 8.6 - In Exercises 1-25. evaluate the double integral...Ch. 8.6 - In Exercises 1-25. evaluate the double integral...Ch. 8.6 - In Exercises 1-25. evaluate the double integral...Ch. 8.6 - In Exercises 1-25. evaluate the double integral...Ch. 8.6 - In Exercises 1-25. evaluate the double integral...Ch. 8.6 - In Exercises 1-25. evaluate the double integral...Ch. 8.6 - In Exercises 1-25. evaluate the double integral...Ch. 8.6 - In Exercises 1-25. evaluate the double integral...Ch. 8.6 - In Exercises 1-25. evaluate the double integral...Ch. 8.6 - In Exercises 1-25. evaluate the double integral...Ch. 8.6 - In Exercises 1-25. evaluate the double integral...Ch. 8.6 - In Exercises 1-25. evaluate the double integral...Ch. 8.6 - In Exercises 1-25. evaluate the double integral...Ch. 8.6 - In Exercises 1-25. evaluate the double integral...Ch. 8.6 - In Exercises 1-25. evaluate the double integral...Ch. 8.6 - In Exercises 1-25. evaluate the double integral...Ch. 8.6 - In Exercises 1-25. evaluate the double integral...Ch. 8.6 - In Exercises 1-25. evaluate the double integral...Ch. 8.6 - In Exercises 1-25. evaluate the double integral...Ch. 8.6 - In Exercises 1-25. evaluate the double integral...Ch. 8.6 - In Exercises 1-25. evaluate the double integral...Ch. 8.6 - In Exercises 26-33, use a double integral to find...Ch. 8.6 - In Exercises 26-33, use a double integral to find...Ch. 8.6 - In Exercises 26-33, use a double integral to find...Ch. 8.6 - In Exercises 26-33, use a double integral to find...Ch. 8.6 - In Exercises 26-33, use a double integral to find...Ch. 8.6 - In Exercises 26-33, use a double integral to find...Ch. 8.6 - In Exercises 26-33, use a double integral to find...Ch. 8.6 - In Exercises 26-33, use a double integral to find...Ch. 8.6 - In Exercises 34-41, find the volume of the solid...Ch. 8.6 - In Exercises 34-41, find the volume of the solid...Ch. 8.6 - In Exercises 34-41, find the volume of the solid...Ch. 8.6 - In Exercises 34-41, find the volume of the solid...Ch. 8.6 - In Exercises 34-41, find the volume of the solid...Ch. 8.6 - In Exercises 34-41, find the volume of the solid...Ch. 8.6 - In Exercises 34-41, find the volume of the solid...Ch. 8.6 - In Exercises 34-41, find the volume of the solid...Ch. 8.6 - In Exercises 42-47, find the average value of the...Ch. 8.6 - In Exercises 42-47, find the average value of the...Ch. 8.6 - In Exercises 42-47, find the average value of the...Ch. 8.6 - In Exercises 42-47, find the average value of the...Ch. 8.6 - In Exercises 42-47, find the average value of the...Ch. 8.6 - In Exercises 42-47, find the average value of the...Ch. 8.6 - Population Density of a Coastal Town The...Ch. 8.6 - Average Population Density of a Coastal Town Refer...Ch. 8.6 - Population Density Of A City The population...Ch. 8.6 - Average Profit The Country Workshops total weekly...Ch. 8.6 - Average Price of Land The rectangular region R...Ch. 8.6 - In Exercises 53-56, determine whether the...Ch. 8.6 - In Exercises 53-56, determine whether the...Ch. 8.6 - In Exercises 53-56, determine whether the...Ch. 8.6 - In Exercises 53-56, determine whether the...Ch. 8 - Fill in the blanks. 1. The domain of a function f...Ch. 8 - Fill in the blanks. 2. If the function f has rule...Ch. 8 - Fill in the blanks. 3. The graph of a function f...Ch. 8 - Fill in the blanks. 4. The trace of the graph...Ch. 8 - Fill in the blanks. 5. The partial derivative fx...Ch. 8 - Fill in the blanks. 6. The number fx(a, b)...Ch. 8 - Fill in the blanks. 7. A function f(x, y) has a...Ch. 8 - Fill in the blanks. 8. A critical point of f(x, y)...Ch. 8 - Fill the blanks. 9. By plotting the points...Ch. 8 - Fill in the blanks. 10. The method of Lagrange...Ch. 8 - Fill in the blanks. 11. If f(x, y) is continuous...Ch. 8 - Fill in the blanks. 12. The integral Rf(x,y)dA is...Ch. 8 - Let f(x,y)=xyx2+y2. Compute f(0, 1), f(1, 0), and...Ch. 8 - Let f(x, y) = f(x,y)=xey1+lnxy. Compute f(1, 1),...Ch. 8 - Leth (x, y, z) = xyez + xy. Compute h( 1, 1, 0),...Ch. 8 - Find the domain of the function f (u, v) = uuv.Ch. 8 - Find the domain of the function f (x, y) = xyx+y.Ch. 8 - Find the domain of the function f(x,y)=xy+y1xCh. 8 - Find The domain of the function...Ch. 8 - In Exercises 8-11, sketch the level curves of the...Ch. 8 - In Exercises 8-11, sketch the level curves of the...Ch. 8 - In Exercises 8-11, sketch the level curves of the...Ch. 8 - In Exercises 8-11, sketch the level curves of the...Ch. 8 - In Exercises 12-21, compute the first partial...Ch. 8 - In Exercises 12-21, compute the first partial...Ch. 8 - In Exercises 12-21, compute the first partial...Ch. 8 - In Exercises 12-21, compute the first partial...Ch. 8 - In Exercises 12-21, compute the first partial...Ch. 8 - In Exercises 12-21, compute the first partial...Ch. 8 - In Exercises 12-21, compute the first partial...Ch. 8 - In Exercises 12-21, compute the first partial...Ch. 8 - In Exercises 12-21, compute the first partial...Ch. 8 - In Exercises 12-21, compute the first partial...Ch. 8 - In Exercises 22-27, compute the second-order...Ch. 8 - In Exercises 22-27, compute the second-order...Ch. 8 - In Exercises 22-27, compute the second-order...Ch. 8 - In Exercises 22-27, compute the second-order...Ch. 8 - In Exercises 22-27, compute the second-order...Ch. 8 - In Exercises 22-27, compute the second-order...Ch. 8 - Let f(x, y, z) = x3 + y2z + xy2z + 3xy 4z....Ch. 8 - In Exercises 29-34, find the critical point(s) of...Ch. 8 - In Exercises 29-34, find the critical point(s) of...Ch. 8 - In Exercises 29-34, find the critical point(s) of...Ch. 8 - In Exercises 29-34, find the critical point(s) of...Ch. 8 - In Exercises 29-34, find the critical point(s) of...Ch. 8 - In Exercises 29-34, find the critical point(s) of...Ch. 8 - In Exercises 35-38, use the method of Lagrange...Ch. 8 - In Exercises 35-38, use the method of Lagrange...Ch. 8 - Find the maximum and minimum values of the...Ch. 8 - Find the maximum and minimum values of the...Ch. 8 - In Exercises 39-42, evaluate the double integrals....Ch. 8 - In Exercises 39-42, evaluate the double integrals....Ch. 8 - In Exercises 39-42, evaluate the double integrals....Ch. 8 - In Exercises 39-42, evaluate the double integrals....Ch. 8 - In Exercises 43 and 44, find the volume of the...Ch. 8 - In Exercises 43 and 44, find the volume of the...Ch. 8 - Find the average value of The function f(x, y) =...Ch. 8 - IQs The IQ (intelligence quotient) of a person...Ch. 8 - Revenue Functions A division of Ditton Industries...Ch. 8 - Demand for CD Players In a survey concluded by...Ch. 8 - Average Daily TV-Viewing Time The following data...Ch. 8 - Female Life Expectancy at 65 The projections of...Ch. 8 - Mobile Phone Use in China The number of mobile...Ch. 8 - Maximizing Revenue Odyssey Travel Agencys monthly...Ch. 8 - Maximizing the Weigh is of Fish A pond is slacked...Ch. 8 - COBB-DOUGLAS PRODUCTION FUNCTIONS The production...Ch. 8 - COBB-DOUGLAS PRODUCTION FUNCTION Show that the...Ch. 8 - Find the domain of f(x,y)=x+y(1x)(2y)Ch. 8 - Find the first and second partial derivatives of...Ch. 8 - Find the relative extrema, if any, of f(x, y) =...Ch. 8 - Find the equation of the least-squares line for...Ch. 8 - Use the method of Lagrange multipliers to find the...Ch. 8 - Evaluate R(1xy)dA, where R is the region bounded...

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