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Math
Calculus
Calculus: Early Transcendentals
Chapter 14, Problem 64E
Chapter 14, Problem 64E
BUY
Calculus: Early Transcendentals
9th Edition
ISBN:
9780357598511
Author: James Stewart; Daniel K. Clegg; Saleem Watson
Publisher:
Cengage Learning US
expand_less
1 Functions And Models
2 Limits And Derivatives
3 Differentiation Rules
4 Applications Of Differentiation
5 Integrals
6 Applications Of Integration
7 Techniques Of Integration
8 Further Applications Of Integration
9 Differential Equations
10 Parametric Equations And Polar Coordinates
11 Sequences, Series, And Power Series
12 Vectors And The Geometry Of Space
13 Vector Functions
14 Partial Derivatives
15 Multiple Integrals
16 Vector Calculus
A Numbers, Inequalities, And Absolute Values
B Coordinate Geometry And Lines
C Graphs Of Second-degree Equations
D Trigonometry
E Sigma Notation
F Proofs Of Theorems
G The Logarithm Defined As An Integral
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14.1 Functions Of Several Variables
14.2 Limits And Continuity
14.3 Partial Derivatives
14.4 Tangent Planes And Linear Approximations
14.5 The Chain Rule
14.6 Directional Derivatives And The Gradient Vector
14.7 Maximum And Minimum Values
14.8 Lagrange Multipliers
Chapter Questions
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Problem 1CC: (a) What is a function of two variables? (b) Describe three methods for visualizing a function of...
Problem 2CC
Problem 3CC
Problem 4CC: (a) What does it mean to say that f is continuous at (a, b)? (b) If f is continuous on 2, what can...
Problem 5CC
Problem 6CC
Problem 7CC
Problem 8CC
Problem 9CC
Problem 10CC: If z = f(x, y), what arc the differentials dx, dy, and dz?
Problem 11CC
Problem 12CC: If z is defined implicitly as a function of x and y by an equation of the form F(x, y, z) = 0, how...
Problem 13CC
Problem 14CC
Problem 15CC
Problem 16CC
Problem 17CC
Problem 18CC
Problem 19CC
Problem 1TFQ
Problem 2TFQ
Problem 3TFQ
Problem 4TFQ
Problem 5TFQ
Problem 6TFQ: Determine whether the statement is true or false. If it is true, explain why. If it is false,...
Problem 7TFQ
Problem 8TFQ
Problem 9TFQ: Determine whether the statement is true or false. If it is true, explain why. If it is false,...
Problem 10TFQ
Problem 11TFQ
Problem 12TFQ
Problem 1E
Problem 2E: Find and sketch the domain of the function. 2. f(x,y)=4x2y2+1x2
Problem 3E
Problem 4E
Problem 5E: Sketch several level curves of the function. 5. f(x,y)=4x2+y2
Problem 6E: Sketch several level curves of the function. 6. f(x, y) = ex + y
Problem 7E: Make a rough sketch of a contour map for the function whose graph is shown.
Problem 8E: The contour map of a function f is shown, (a) Estimate the value of f(3, 2). (b) Is fx(3, 2)...
Problem 9E
Problem 10E
Problem 11E
Problem 12E
Problem 13E
Problem 14E
Problem 15E
Problem 16E
Problem 17E
Problem 18E: The speed of sound traveling through ocean water is a function of temperature, salinity, and...
Problem 19E
Problem 20E
Problem 21E
Problem 22E
Problem 23E
Problem 24E
Problem 25E: Find equations of (a) the tangent plane and (b) the normal line to the given surface at the...
Problem 26E
Problem 27E
Problem 28E: Find equations of (a) the tangent plane and (b) the normal line to the given surface at the...
Problem 29E: Find equations of (a) the tangent plane and (b) the normal line to the given surface at the...
Problem 30E
Problem 31E: Find the points on the hyperboloid x2 + 4y2 z2 = 4 where the tangent plane is parallel to the plane...
Problem 32E
Problem 33E: Find the linear approximation of the function f(x,y,z)=x3y2+z2 at the point (2, 3, 4) and use it to...
Problem 34E: The two legs of a right triangle are measured as 5 m and 12 m with a possible error in measurement...
Problem 35E
Problem 36E: If v = x2sin y + yexy, where x = s + 2t and y = st, use the Chain Rule to find v/s and v/t when s =...
Problem 37E: Suppose z = f(x, y), where x = g(s, t), y = h(s, t), g(1, 2) = 3, gs(1, 2) = 1, gt(1,2) = 4, h(1, 2)...
Problem 38E
Problem 39E
Problem 40E
Problem 41E
Problem 42E: If cos(xyz) = 1 + .x2y2 + z2, find zx and zy.
Problem 43E: Find the gradient of the function f(x,y,z)=x2eyz2.
Problem 44E
Problem 45E
Problem 46E: Find the directional derivative of f at the given point in the indicated direction. 46....
Problem 47E
Problem 48E
Problem 49E: The contour map shows wind speed in knots during Hurricane Andrew on August 24, 1992. Use it to...
Problem 50E: Find parametric equations of the tangent line at the point (2, 2, 4) to the curve of intersection of...
Problem 51E
Problem 52E
Problem 53E
Problem 54E
Problem 55E: Find the absolute maximum and minimum values of f on the set D. 55. f(x, y) = 4xy2 x2y2 xy3; D is...
Problem 56E: Find the absolute maximum and minimum values of f on the set D. 55. f(x,y)=ex2y2(x2+2y2); D is the...
Problem 57E
Problem 58E: Use a graphing calculator or computer (or Newtons method or a computer algebra system) to find the...
Problem 59E
Problem 60E
Problem 61E
Problem 62E: Use Lagrange multipliers to find the maximum and minimum values of f subject to the given...
Problem 63E
Problem 64E
Problem 65E: A pentagon is formed by placing an isosceles triangle on a rectangle, as shown in the figure. II the...
Problem 1PP: A rectangle with length L and width W is cut into four smaller rectangles by two lines parallel to...
Problem 2PP: Marine biologists have determined that when a shark detects the presence of blood in the water, it...
Problem 3PP: A long piece of galvanized sheet metal with width w is to be bent into a symmetric form with three...
Problem 4PP: For what values of the number r is the function...
Problem 5PP: Suppose f is a differentiable function of one variable. Show that all tangent planes to the surface...
Problem 6PP
Problem 7PP: If the ellipse x2/a2 + y2/b2 = 1 is to enclose the circle x2 + y2 = 2y, what values of a and b...
Problem 8PP
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