 13.9.1: In Exercises 1 and 2, find the minimum distance from the point to t...
 13.9.2: In Exercises 1 and 2, find the minimum distance from the point to t...
 13.9.3: In Exercises 3 and 4, find the minimum distance from the point to t...
 13.9.4: In Exercises 3 and 4, find the minimum distance from the point to t...
 13.9.5: In Exercises 58, find three positive integers and that satisfy the ...
 13.9.6: In Exercises 58, find three positive integers and that satisfy the ...
 13.9.7: In Exercises 58, find three positive integers and that satisfy the ...
 13.9.8: In Exercises 58, find three positive integers and that satisfy the ...
 13.9.9: Cost A home improvement contractor is painting the walls and ceilin...
 13.9.10: Maximum Volume The material for constructing the base of an open bo...
 13.9.11: Maximum Volume The volume of an ellipsoid is For a fixed sum show t...
 13.9.12: Maximum Volume Show that the rectangular box of maximum volume insc...
 13.9.13: Volume and Surface Area Show that a rectangular box of given volume...
 13.9.14: Area A trough with trapezoidal cross sections is formed by turning ...
 13.9.15: Maximum Revenue A company manufactures two types of sneakers, runni...
 13.9.16: Maximum Profit A corporation manufactures candles at two locations....
 13.9.17: HardyWeinberg Law Common blood types are determined genetically by...
 13.9.18: Shannon Diversity Index One way to measure species diversity is to ...
 13.9.19: Minimum Cost A water line is to be built from point to point and mu...
 13.9.20: Distance A company has retail outlets located at the points and (se...
 13.9.21: Investigation The retail outlets described in Exercise 20 are locat...
 13.9.22: Investigation Repeat Exercise 21 for retail outlets located at the ...
 13.9.23: In your own words, state the problemsolving strategy for applied m...
 13.9.24: In your own words, describe the method of least squares for finding...
 13.9.25: In Exercises 2528, (a) find the least squares regression line and (...
 13.9.26: In Exercises 2528, (a) find the least squares regression line and (...
 13.9.27: In Exercises 2528, (a) find the least squares regression line and (...
 13.9.28: In Exercises 2528, (a) find the least squares regression line and (...
 13.9.29: In Exercises 2932, find the least squares regression line for the p...
 13.9.30: In Exercises 2932, find the least squares regression line for the p...
 13.9.31: In Exercises 2932, find the least squares regression line for the p...
 13.9.32: In Exercises 2932, find the least squares regression line for the p...
 13.9.33: Modeling Data The ages (in years) and systolic blood pressures of s...
 13.9.34: Modeling Data A store manager wants to know the demand for an energ...
 13.9.35: Modeling Data An agronomist used four test plots to determine the r...
 13.9.36: Modeling Data The table shows the percents and numbers (in millions...
 13.9.37: Find a system of equations whose solution yields the coefficients a...
 13.9.38: The sum of the length and the girth (perimeter of a cross section) ...
 13.9.39: In Exercises 3942, use the result of Exercise 37 to find the least ...
 13.9.40: In Exercises 3942, use the result of Exercise 37 to find the least ...
 13.9.41: In Exercises 3942, use the result of Exercise 37 to find the least ...
 13.9.42: In Exercises 3942, use the result of Exercise 37 to find the least ...
 13.9.43: Modeling Data After a new turbocharger for an automobile engine was...
 13.9.44: Modeling Data The table shows the world populations (in billions) f...
 13.9.45: Modeling Data A meteorologist measures the atmospheric pressure (in...
 13.9.46: Modeling Data The endpoints of the interval over which distinct vis...
 13.9.47: Use the Second Partials Test to verify that the formulas for and gi...
Solutions for Chapter 13.9: Applications of Extrema of Functions of Two Variables
Full solutions for Calculus  9th Edition
ISBN: 9780547167022
Solutions for Chapter 13.9: Applications of Extrema of Functions of Two Variables
Get Full SolutionsChapter 13.9: Applications of Extrema of Functions of Two Variables includes 47 full stepbystep solutions. This expansive textbook survival guide covers the following chapters and their solutions. Calculus was written by and is associated to the ISBN: 9780547167022. Since 47 problems in chapter 13.9: Applications of Extrema of Functions of Two Variables have been answered, more than 63865 students have viewed full stepbystep solutions from this chapter. This textbook survival guide was created for the textbook: Calculus , edition: 9.

Derivative of ƒ
The function defined by ƒ'(x) = limh:0ƒ(x + h)  ƒ(x)h for all of x where the limit exists

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

equation of an ellipse
(x  h2) a2 + (y  k)2 b2 = 1 or (y  k)2 a2 + (x  h)2 b2 = 1

Firstdegree equation in x , y, and z
An equation that can be written in the form.

Inverse relation (of the relation R)
A relation that consists of all ordered pairs b, a for which a, b belongs to R.

Jump discontinuity at x a
limx:a  ƒ1x2 and limx:a + ƒ1x2 exist but are not equal

Leading term
See Polynomial function in x.

n factorial
For any positive integer n, n factorial is n! = n.(n  1) . (n  2) .... .3.2.1; zero factorial is 0! = 1

Normal curve
The graph of ƒ(x) = ex2/2

nth root
See Principal nth root

Partial fractions
The process of expanding a fraction into a sum of fractions. The sum is called the partial fraction decomposition of the original fraction.

Positive numbers
Real numbers shown to the right of the origin on a number line.

Principal nth root
If bn = a, then b is an nth root of a. If bn = a and a and b have the same sign, b is the principal nth root of a (see Radical), p. 508.

Quotient of functions
a ƒ g b(x) = ƒ(x) g(x) , g(x) ? 0

Radius
The distance from a point on a circle (or a sphere) to the center of the circle (or the sphere).

Recursively defined sequence
A sequence defined by giving the first term (or the first few terms) along with a procedure for finding the subsequent terms.

Symmetric about the origin
A graph in which (x, y) is on the the graph whenever (x, y) is; or a graph in which (r, ?) or (r, ? + ?) is on the graph whenever (r, ?) is

Variable
A letter that represents an unspecified number.

Vertices of an ellipse
The points where the ellipse intersects its focal axis.

yzplane
The points (0, y, z) in Cartesian space.