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Math
Calculus
Calculus: Early Transcendentals
Chapter 13.1, Problem 7ES
Chapter 13.1, Problem 7ES
BUY
Calculus: Early Transcendentals
12th Edition
ISBN:
9781119778189
Author: Anton, Howard, Bivens, Irl C., Davis, Stephen
Publisher:
WILEY
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1 Limits And Continuity
2 The Derivative
3 Topics In Differentiation
4 The Derivative In Graphing And Applications
5 Integration
6 Applications Of The Definite Integral In Geometry, Science, And Engineering
7 Principles Of Integral Evaluation
8 Mathematical Modeling With Differential Equations
9 Infinite Series
10 Parametric And Polar Curves; Conic Sections
11 Three-dimensional Space; Vectors
12 Vector-valued Functions
13 Partial Derivatives
14 Multiple Integrals
15 Topics In Vector Calculus
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13.1 Functions Of Two Or More Variables
13.2 Limits And Continuity
13.3 Partial Derivatives
13.4 Differentiability, Differentials, And Local Linearity
13.5 The Chain Rule
13.6 Directional Derivatives And Gradients
13.7 Tangent Planes And Normal Vectors
13.8 Maxima And Minima Of Functions Of Two Variables
13.9 Lagrange Multipliers
Chapter Questions
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Problem 1QCE
Problem 2QCE: Let f(x,y)=xyx+y+1. (a)f(2,1)=(b)f(1,2)=(c)f(a,a)=(d)f(y+1,y)=
Problem 3QCE: Let f(x,y)=ex+y. (a) For what values of k will the graph of the level curve fx,y=k be nonempty? (b)...
Problem 4QCE: Let f(x,y,z)=1x2+y2+z2+1. (a) For what values of k will the graph of the level surface fx,y,z=k be...
Problem 1ES
Problem 2ES
Problem 3ES
Problem 4ES
Problem 5ES: These exercises are concerned with functions of two variables....
Problem 6ES
Problem 7ES
Problem 8ES
Problem 9ES: Suppose that the concentration C in mg/L of medication in a patient's bloodstream is modelled by the...
Problem 10ES
Problem 11ES: Refer to Table 13.1.1 to estimate the given quantity. The wind chill index when (a) the temperature...
Problem 12ES: Refer to Table 13.1.1 to estimate the given quantity. The wind chill index when (a) the temperature...
Problem 13ES: Refer to Table 13.1.1 to estimate the given quantity. The temperature when (a) the wind chill index...
Problem 14ES: Refer to Table 13.1.1 to estimate the given quantity. The wind speed when (a) the wind chill index...
Problem 15ES: One method for determining relative humidity is to wet the bulb of a thermometer, whirl it through...
Problem 16ES: Use the table in Exercise 15 to complete parts (a)-(c). (a) What is the wet-bulb depression if the...
Problem 17ES: These exercises involve functions of three variables. Letf(x,y,z)=xy2z3+3.Find...
Problem 18ES: These exercises involve functions of three variables. Let f(x,y,z)=zxy+x.Find...
Problem 19ES
Problem 20ES
Problem 21ES: These exercises are concerned with functions of four or more variables....
Problem 22ES: These exercises are concerned with functions of four or more variables....
Problem 23ES
Problem 24ES: Sketch the domain of f. Use solid lines for portions of the boundary included in the domain and...
Problem 25ES
Problem 26ES
Problem 27ES
Problem 28ES
Problem 29ES
Problem 30ES: Determine whether the statement is true or false. Explain your answer. If f(x,y)=y/x, then a contour...
Problem 31ES: Determine whether the statement is true or false. Explain your answer. The natural domain of...
Problem 32ES: Determine whether the statement is true or false. Explain your answer. Every level surface of...
Problem 33ES: Sketch the graph of f. f(x,y)=3
Problem 34ES
Problem 35ES
Problem 36ES
Problem 37ES
Problem 38ES: Sketch the graph of f. f(x,y)=4x2y2
Problem 39ES
Problem 40ES
Problem 41ES
Problem 42ES
Problem 43ES: In each part, select the term that best describes the level curves of the function f. Choose from...
Problem 44ES: In each part, select the term that best describes the level curves of the function f. Choose from...
Problem 45ES: Refer to Figure 13.1.7 in each part. Suppose that $6000 is borrowed at an interest rate of 11. (a)...
Problem 46ES: Refer to Figure 13.1.7 in each part. Suppose that $3000 is borrowed at an interest rate of 4. (a)...
Problem 47ES: In each part, match the contour plot with one of the functions...
Problem 48ES
Problem 49ES: In each part, the questions refer to the contour map in the accompanying figure. (a) Is A or B the...
Problem 50ES: A curve connecting points of equal atmospheric pressure on a weather map is called an isobar. On a...
Problem 51ES: Sketch the level curve z=k for the specified values of k. z=x2+y2;k=0,1,2,3,4
Problem 52ES
Problem 53ES: Sketch the level curve z=k for the specified values of k. z=x2+y;k=2,1,0,1,2
Problem 54ES
Problem 55ES
Problem 56ES: Sketch the level curve z=k for the specified values of k. z=ycscx;k=2,1,0,1,2
Problem 57ES: Sketch the level surface f(x,y,z)=k . f(x,y,z)=4x2+y2+4z2;k=16
Problem 58ES: Sketch the level surface f(x,y,z)=k . f(x,y,z)=x2+y2z2;k=0
Problem 59ES: Sketch the level surface f(x,y,z)=k . f(x,y,z)=zx2y2+4;k=7
Problem 60ES: Sketch the level surface f(x,y,z)=k . f(x,y,z)=4x2y+z;k=1
Problem 61ES: Describe the level surfaces in words. f(x,y,z)=(x2)2+y2+z2
Problem 62ES: Describe the level surfaces in words. f(x,y,z)=3xy+2z
Problem 63ES
Problem 64ES: Describe the level surfaces in words. f(x,y,z)=zx2y2
Problem 65ES: Let f(x,y)=x22x3+3xy. Find an equation of the level curve that passes through the point....
Problem 66ES
Problem 67ES: Let f(x,y,z)=x2+y2z. Find an equation of the level curve that passes through the point...
Problem 68ES
Problem 69ES: If Tx,y is the temperature at a point x,y on a thin metal plate in the xy-plane, then the level...
Problem 70ES
Problem 71ES
Problem 72ES
Problem 73ES: Let f(x,y)=xe(x2+y2). (a) Use a CAS to generate the graph of f for2x2and2y2. (b) Generate a contour...
Problem 74ES: Let f(x,y)=110exsiny. (a) Use a CAS to generate the graph of f for 0x4and0y2. (b) Generate a contour...
Problem 75ES: In each part. describe in words how the graph of g is related to the graph of f....
Problem 76ES: (a) Sketch the graph of fx,y=e(x2+y2). (b) Describe in words how the graph of the function...
Problem 77ES
Problem 78ES
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