Consider the following functions: e e f1(x) = sin(x1) cos(x2), æ € R? f2(x, y) = x' Y , æ, y E R" %3D f3(x) = xx", x E R" Exercises a. What are the dimensions of Ofi ? b. Compute the Jacobians. dx

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Consider the following functions:
f1(x) = sin(x1) cos(x2), æ € R?
f2(x, y) = x 'y, æ,y e R"
f3(x)
x E R"
= xx
Exercises
afi
a. What are the dimensions of i ?
b. Compute the Jacobians.
Transcribed Image Text:Consider the following functions: f1(x) = sin(x1) cos(x2), æ € R? f2(x, y) = x 'y, æ,y e R" f3(x) x E R" = xx Exercises afi a. What are the dimensions of i ? b. Compute the Jacobians.
Consider the following functions:
f1(x) = sin(x1) cos(x2), æ € R?
f2(x, y) = x 'y, æ,y e R"
f3(x)
x E R"
= xx
Exercises
afi
a. What are the dimensions of i ?
b. Compute the Jacobians.
Transcribed Image Text:Consider the following functions: f1(x) = sin(x1) cos(x2), æ € R? f2(x, y) = x 'y, æ,y e R" f3(x) x E R" = xx Exercises afi a. What are the dimensions of i ? b. Compute the Jacobians.
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I don´t understand the solution for f3(x) for b) . Where is the factor 2 coming from? 

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