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0 -5 -2 -1 0 1 fxy) in color Vf in arrows 2 3 4 5 Fig. 1 Input Select function: x coefficent< y coefficent < x exponent < y exponent f(x,y)= 0.1 Output X 1₁ polynomial v=0.1 x +0.1ý < +0.1 Explain the presented gradient in Fig. 1 and its varaitions with x and y. > Change f(x,y) in the previous part to f(x, y)=0.5 x +0.1 y. Explain the variations of the gradient.

0 -5 -2 -1 0 1 fxy) in color Vf in arrows 2 3 4 5 Fig. 1 Input Select function: x coefficent< y coefficent < x exponent < y exponent f(x,y)= 0.1 Output X 1₁ polynomial v=0.1 x +0.1ý < +0.1 Explain the presented gradient in Fig. 1 and its varaitions with x and y. > Change f(x,y) in the previous part to f(x, y)=0.5 x +0.1 y. Explain the variations of the gradient.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Part_1 Download "module 3.2" from the course website at Labs-> Lab 1 Vector Fields to evaluate the gradient of a scalar field. Open the interactive module and set the input parameters as shown in Fig. 1. Module 3.2 5 1 -2 -5 -5 -2 / -1 0 1 foxy) in color Vf in arrows 2 3 5 Gradient Fig. 1 Input Select function: x coefficent< y coefficent< x exponent< y exponent < f(x,y)= 0.1 X Output 1 polynomial Vf=0.1 x + 0.1ỳ + 0.1 1) Explain the presented gradient in Fig. 1 and its varaitions with x and y. 2) Change f(x,y) in the previous part to f(x, y)=0.5x+0.1 y. Explain the variations of the gradient.
Transcribed Image Text:Part_1 Download "module 3.2" from the course website at Labs-> Lab 1 Vector Fields to evaluate the gradient of a scalar field. Open the interactive module and set the input parameters as shown in Fig. 1. Module 3.2 5 1 -2 -5 -5 -2 / -1 0 1 foxy) in color Vf in arrows 2 3 5 Gradient Fig. 1 Input Select function: x coefficent< y coefficent< x exponent< y exponent < f(x,y)= 0.1 X Output 1 polynomial Vf=0.1 x + 0.1ỳ + 0.1 1) Explain the presented gradient in Fig. 1 and its varaitions with x and y. 2) Change f(x,y) in the previous part to f(x, y)=0.5x+0.1 y. Explain the variations of the gradient.
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