Explanation Given information: A table to show the values of function f ( x , y ) for different x and y, Formula used: Partial derivatives of a function f ( x , y ) , f x ( a , b ) = lim h → 0 f ( a + h , b ) − f ( a , b ) h ; f y ( a , b ) = lim h → 0 f ( a , b + h ) − f ( a , b ) h Consider the contour diagram. Since the change in the x is Δ x = 0.5 and Δ y = 0.2 . Therefore, z x ( a , b ) = lim h → 0 f ( a + h , b ) − f ( a , b ) h ; z x ( 1 , 0 ) = f ( 1 + 0.5 , 0 ) − f ( 1 , 0 ) 0.5 = 2 − 0 0

6th Edition

ISBN: 9781119399322

Author: Hughes-Hallett

Publisher: WILEY

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Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on …

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Chapter 8.3, Problem 16P

To determine

To calculate:

The values of zx(1,0),zx(0,1) and zy(0,1) from the contour plot of the function z(x,y).

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Chapter 8.3, Problem 15P

Chapter 8.3, Problem 17P

Chapter 8 Solutions

APPLIED CALCULUS (WILEY PLUS)

Ch. 8.1 - Prob. 1P Ch. 8.1 - Prob. 2P Ch. 8.1 - Prob. 3P Ch. 8.1 - Prob. 4P Ch. 8.1 - Prob. 5P Ch. 8.1 - Prob. 6P Ch. 8.1 - Prob. 7P Ch. 8.1 - Prob. 8P Ch. 8.1 - Prob. 9P Ch. 8.1 - Prob. 10P

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The values of z x ( 1 , 0 ) , z x ( 0 , 1 ) and z y ( 0 , 1 ) from the contour plot of the function z ( x , y ) .

Solution Summary: The author calculates the values of function f(x,y) from the contour plot of the function.

Concept explainers

Videos

To calculate:

The values of zx(1,0),zx(0,1) and zy(0,1) from the contour plot of the function z(x,y).

Want to see the full answer?

Chapter 8 Solutions

The values of z x ( 1 , 0 ) , z x ( 0 , 1 ) and z y ( 0 , 1 ) from the contour plot of the function z ( x , y ) .

Solution Summary: The author calculates the values of function f(x,y) from the contour plot of the function.

Concept explainers

Videos

To calculate: The values of zx(1,0),zx(0,1) and zy(0,1) from the contour plot of the function z(x,y).

Want to see the full answer?

Chapter 8 Solutions

To calculate:

The values of zx(1,0),zx(0,1) and zy(0,1) from the contour plot of the function z(x,y).