 14.7.67E: Theory and Examples.In Exercise, use Equations (2) and (3) to find ...
 14.7.68E: Theory and Examples.In Exercise, use Equations (2) and (3) to find ...
 14.7.69E: COMPUTER EXPLORATIONSIn Exercise, you will explore functions to ide...
 14.7.70E: COMPUTER EXPLORATIONSIn Exercise, you will explore functions to ide...
 14.7.71E: COMPUTER EXPLORATIONSIn Exercise, you will explore functions to ide...
 14.7.72E: COMPUTER EXPLORATIONSIn Exercise, you will explore functions to ide...
 14.7.73E: COMPUTER EXPLORATIONSIn Exercise, you will explore functions to ide...
 14.7.74E: COMPUTER EXPLORATIONSIn Exercise, you will explore functions to ide...
 14.7.1E: Finding Local ExtremaFind all the local maxima, local minima, and s...
 14.7.2E: Finding Local ExtremaFind all the local maxima, local minima, and s...
 14.7.3E: Finding Local ExtremaFind all the local maxima, local minima, and s...
 14.7.4E: Finding Local ExtremaFind all the local maxima, local minima, and s...
 14.7.5E: Finding Local ExtremaFind all the local maxima, local minima, and s...
 14.7.6E: Finding Local ExtremaFind all the local maxima, local minima, and s...
 14.7.7E: Finding Local ExtremaFind all the local maxima, local minima, and s...
 14.7.8E: Finding Local ExtremaFind all the local maxima, local minima, and s...
 14.7.9E: Finding Local ExtremaFind all the local maxima, local minima, and s...
 14.7.10E: Finding Local ExtremaFind all the local maxima, local minima, and s...
 14.7.11E: Finding Local ExtremaFind all the local maxima, local minima, and s...
 14.7.12E: Finding Local ExtremaFind all the local maxima, local minima, and s...
 14.7.13E: Finding Local ExtremaFind all the local maxima, local minima, and s...
 14.7.14E: Finding Local ExtremaFind all the local maxima, local minima, and s...
 14.7.15E: Finding Local ExtremaFind all the local maxima, local minima, and s...
 14.7.17E: Finding Local ExtremaFind all the local maxima, local minima, and s...
 14.7.16E: Finding Local ExtremaFind all the local maxima, local minima, and s...
 14.7.18E: Finding Local ExtremaFind all the local maxima, local minima, and s...
 14.7.19E: Finding Local ExtremaFind all the local maxima, local minima, and s...
 14.7.21E: Finding Local ExtremaFind all the local maxima, local minima, and s...
 14.7.20E: Finding Local ExtremaFind all the local maxima, local minima, and s...
 14.7.22E: Finding Local ExtremaFind all the local maxima, local minima, and s...
 14.7.23E: Finding Local ExtremaFind all the local maxima, local minima, and s...
 14.7.24E: Finding Local ExtremaFind all the local maxima, local minima, and s...
 14.7.25E: Finding Local ExtremaFind all the local maxima, local minima, and s...
 14.7.26E: Finding Local ExtremaFind all the local maxima, local minima, and s...
 14.7.27E: Finding Local ExtremaFind all the local maxima, local minima, and s...
 14.7.28E: Finding Local ExtremaFind all the local maxima, local minima, and s...
 14.7.29E: Finding Local ExtremaFind all the local maxima, local minima, and s...
 14.7.30E: Finding Local ExtremaFind all the local maxima, local minima, and s...
 14.7.31E: Finding Absolute ExtremaIn Exercise, find the absolute maxima and m...
 14.7.32E: Finding Absolute ExtremaIn Exercise, find the absolute maxima and m...
 14.7.33E: Finding Absolute ExtremaIn Exercise, find the absolute maxima and m...
 14.7.34E: Finding Absolute ExtremaIn Exercise, find the absolute maxima and m...
 14.7.35E: Finding Absolute ExtremaIn Exercise, find the absolute maxima and m...
 14.7.36E: Finding Absolute ExtremaIn Exercise, find the absolute maxima and m...
 14.7.37E: Finding Absolute ExtremaIn Exercise, find the absolute maxima and m...
 14.7.38E: Finding Absolute ExtremaIn Exercise, find the absolute maxima and m...
 14.7.39E: Finding Absolute ExtremaFind two numbers a and b with a ? b such th...
 14.7.40E: Finding Absolute ExtremaFind two numbers a and b with a ? b such th...
 14.7.41E: Finding Absolute ExtremaTemperatures A flat circular plate has the ...
 14.7.42E: Finding Absolute ExtremaFind the critical point of in the open firs...
 14.7.43E: Theory and ExamplesFind the maxima, minima, and saddle points of ƒ(...
 14.7.44E: Theory and ExamplesThe discriminant is zero at the origin for each ...
 14.7.45E: Theory and ExamplesShow that (0, 0) is a critical point of no matte...
 14.7.46E: Theory and ExamplesFor what values of the constant k does the Secon...
 14.7.47E: Theory and ExamplesIf must ƒ have a local maximum or minimum value ...
 14.7.48E: Theory and ExamplesCan you conclude anything about ƒ(a, b) if ƒ and...
 14.7.49E: Theory and Examples.Among all the points on the graph of z = 10  x...
 14.7.50E: Theory and Examples.Find the point on the graph of nearest the plan...
 14.7.51E: Theory and Examples.Find the point on the plane 3x + 2y + z = 6 tha...
 14.7.52E: Theory and Examples.Find the minimum distance from the point (2, 1...
 14.7.53E: Theory and Examples.Find three numbers whose sum is 9 and whose sum...
 14.7.54E: Theory and Examples.Find three positive numbers whose sum is 3 and ...
 14.7.55E: Theory and Examples.Find the maximum value of s = xy + yz + xz wher...
 14.7.56E: Theory and Examples.Find the minimum distance from the cone to the ...
 14.7.57E: Theory and Examples.Find the dimensions of the rectangular box of m...
 14.7.58E: Theory and Examples.Among all closed rectangular boxes of volume 27...
 14.7.59E: Theory and Examples.You are to construct an open rectangular box fr...
 14.7.60E: Theory and Examples.Consider the function over the square a. Show t...
 14.7.61E: Theory and Examples.Extreme Values on Parametrized Curves To find t...
 14.7.62E: Theory and Examples.Extreme Values on Parametrized Curves To find t...
 14.7.63E: Theory and Examples.Extreme Values on Parametrized Curves To find t...
 14.7.64E: Theory and Examples.Extreme Values on Parametrized Curves To find t...
 14.7.65E: Theory and Examples.Least squares and regression lines When we try ...
 14.7.66E: Theory and Examples.In Exercise, use Equations (2) and (3) to find ...
Solutions for Chapter 14.7: Thomas' Calculus: Early Transcendentals 13th Edition
Full solutions for Thomas' Calculus: Early Transcendentals  13th Edition
ISBN: 9780321884077
Solutions for Chapter 14.7
Get Full SolutionsThis textbook survival guide was created for the textbook: Thomas' Calculus: Early Transcendentals , edition: 13th. Chapter 14.7 includes 74 full stepbystep solutions. Since 74 problems in chapter 14.7 have been answered, more than 40448 students have viewed full stepbystep solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. Thomas' Calculus: Early Transcendentals was written by Sieva Kozinsky and is associated to the ISBN: 9780321884077.

Addition property of equality
If u = v and w = z , then u + w = v + z

Complex number
An expression a + bi, where a (the real part) and b (the imaginary part) are real numbers

Constant term
See Polynomial function

Coordinate plane
See Cartesian coordinate system.

Cotangent
The function y = cot x

Data
Facts collected for statistical purposes (singular form is datum)

Divisor of a polynomial
See Division algorithm for polynomials.

Doubleblind experiment
A blind experiment in which the researcher gathering data from the subjects is not told which subjects have received which treatment

Endpoint of an interval
A real number that represents one “end” of an interval.

Factoring (a polynomial)
Writing a polynomial as a product of two or more polynomial factors.

Infinite sequence
A function whose domain is the set of all natural numbers.

nth root of unity
A complex number v such that vn = 1

Quartic function
A degree 4 polynomial function.

Rational expression
An expression that can be written as a ratio of two polynomials.

Series
A finite or infinite sum of terms.

Solve graphically
Use a graphical method, including use of a hand sketch or use of a grapher. When appropriate, the approximate solution should be confirmed algebraically

Sphere
A set of points in Cartesian space equally distant from a fixed point called the center.

Tree diagram
A visualization of the Multiplication Principle of Probability.

Triangular number
A number that is a sum of the arithmetic series 1 + 2 + 3 + ... + n for some natural number n.

Velocity
A vector that specifies the motion of an object in terms of its speed and direction.