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Math
Calculus
University Calculus
Chapter 13.7, Problem 73E
Chapter 13.7, Problem 73E
BUY
University Calculus
3rd Edition
ISBN:
9780134175706
Author: Unknown
Publisher:
PEARSON
expand_less
1 Functions
2 Limits And Continuity
3 Derivatives
4 Application Of Derivatives
5 Integrals
6 Applications Of Definite Integrals
7 Integrals And Trascendental Functions
8 Techniques Of Integration
9 Infinite Sequences And Series
10 Parametric Equations And Polar Coordinates
11 Vectors And The Geometry Of Space
12 Vector-valued Functions And Motion In Space
13 Partial Derivatives
14 Multiple Integrals
15 Integrals And Vector Fields
A.1 Real Numbers And The Real Line
A.2 Mathematical Induction
A.3 Lines And Circles
A.4 Conic Sections
A.5 Proofs Of Limit Theorems
A.6 Commonly Occurring Limits
A.7 Theory Of The Real Numbers
A.8 Complex Numbers
A.9 The Distributive Law For Vector Cross Products
A.10 The Mixed Derivative Theorem And The Increment Theorem
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13.1 Functions Of Several Variables
13.2 Limits And Continuity In Higher Dimensions
13.3 Partial Derivatives
13.4 The Chain Rule
13.5 Directional Derivatives And Gradient Vectors
13.6 Tangent Planes And Differentials
13.7 Extreme Values And Saddle Points
13.8 Lagrange Multipliers
Chapter Questions
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Problem 1E
Problem 2E
Problem 3E
Problem 4E
Problem 5E
Problem 6E: Find all the local maxima, local minima, and saddle points of the functions in Exercises 1–30. 6.
Problem 7E: Find all the local maxima, local minima, and saddle points of the functions in Exercises 1–30. 7.
Problem 8E
Problem 9E: Find all the local maxima, local minima, and saddle points of the functions in Exercises 1–30. 9.
Problem 10E
Problem 11E: Find all the local maxima, local minima, and saddle points of the functions in Exercises 1–30. 11.
Problem 12E
Problem 13E: Find all the local maxima, local minima, and saddle points of the functions in Exercises 1–30. 13....
Problem 14E
Problem 15E: Find all the local maxima, local minima, and saddle points of the functions in Exercises 1–30. 15....
Problem 16E
Problem 17E: Find all the local maxima, local minima, and saddle points of the functions in Exercises 1–30. 17.
Problem 18E
Problem 19E: Find all the local maxima, local minima, and saddle points of the functions in Exercises 1–30. 19.
Problem 20E
Problem 21E: Find all the local maxima, local minima, and saddle points of the functions in Exercises 1–30. 21.
Problem 22E
Problem 23E: Find all the local maxima, local minima, and saddle points of the functions in Exercises 1–30. 23....
Problem 24E
Problem 25E: Find all the local maxima, local minima, and saddle points of the functions in Exercises 1–30. 25.
Problem 26E
Problem 27E: Find all the local maxima, local minima, and saddle points of the functions in Exercises 1–30. 27.
Problem 28E
Problem 29E: Find all the local maxima, local minima, and saddle points of the functions in Exercises 1–30. 29.
Problem 30E
Problem 31E
Problem 32E
Problem 33E
Problem 34E
Problem 35E
Problem 36E
Problem 37E
Problem 38E
Problem 39E: Find two numbers a and b with such that has its largest value.
Problem 40E: Find two numbers a and b with such that has its largest value.
Problem 41E: Temperatures A flat circular plate has the shape of the regioni . The plate, including the boundary...
Problem 42E: Find the critical point of in the open first quadrant and show that f takes on a minimum there.
Problem 43E: Find the maxima, minima, and saddle points of f(x, y), if any, given that fx = 2x – 4y and fy = 2y –...
Problem 44E: The discriminant fxxfyy − fxv2 is zero at the origin for each of the following functions, so the...
Problem 45E: Show that (0, 0) is a critical point of f(x, y) = x2 + kxy + y2 no matter what value the constant k...
Problem 46E: For what values of the constant k does the Second Derivative Test guarantee that will have a saddle...
Problem 47E: If fx(a, b) = fy(a, b) = 0, must f have a local maximum or minimum value at (a, b)? Give reasons for...
Problem 48E: Can you conclude anything about f(a, b) if f and its first and second partial derivatives are...
Problem 49E: Among all the points on the graph of that lie above the plane , find the point farthest from the...
Problem 50E
Problem 51E: Find the point on the plane 3x + 2y + z = 6 that is nearest the origin.
Problem 52E
Problem 53E: Find three numbers whose sum is 9 and whose sum of squares is a minimum.
Problem 54E
Problem 55E: Find the maximum value of where .
Problem 56E
Problem 57E: Find the dimensions of the rectangular box of maximum volume that can be inscribed inside the sphere...
Problem 58E
Problem 59E: You are to construct an open rectangular box from 12 ft2 of material. What dimensions will result in...
Problem 60E
Problem 61E: Extreme Values on Parametrized Curves To find the extreme values of a function f(x, y) on a curve x...
Problem 62E
Problem 63E: Extreme Values on Parametrized Curves To find the extreme values of a function f(x, y) on a curve x...
Problem 64E
Problem 65E: Least squares and regression lines When we try to fit a line y = mx + b to a set of numerical data...
Problem 66E
Problem 67E: In Exercises 68–70, use Equations (2) and (3) to find the least squares line for each set of data...
Problem 68E
Problem 69E
Problem 70E
Problem 71E
Problem 72E
Problem 73E
Problem 74E
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