X=x( p,q,s), y=y(p,u,v), s=s(u,v), p=p(t) will be 2. The second order partial derivatives Fxx(x,y) of the function ( F(x,y) =x*y - In (x²-y) ) equal . 3. The differential of the following function ( Z = X' Sin (6Y) ) is equal .. ..........
X=x( p,q,s), y=y(p,u,v), s=s(u,v), p=p(t) will be 2. The second order partial derivatives Fxx(x,y) of the function ( F(x,y) =x*y - In (x²-y) ) equal . 3. The differential of the following function ( Z = X' Sin (6Y) ) is equal .. ..........
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![Q3: Fill in the blanks in the following:
1. The tree diagram of the Chain Rule for the given function w=w(x,y),
X=x( p,q,s), y=y(p,u,v) , s=s(u,v), p=p(t) will be .
2. The second order partial derivatives Fxx(x,y) of the function ( F(x,y) =x*y-
In (x²-y) ) equal .
3. The differential of the following function ( Z = x² Sin (6Y) ) is equal
4. The integration form of Sf, XY dA where D is the portion of X? + Y? = 2 in
the 1" quadrant will be .
5. The type of roots of the 2nd order differential equation [y-4y - 12y = 0]
is .](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F68c1d2ab-8bc8-4fad-8342-20106610d96c%2Fbed3fda3-7f38-48f5-8ef6-7afbf580c41f%2Fd9w3cbq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Q3: Fill in the blanks in the following:
1. The tree diagram of the Chain Rule for the given function w=w(x,y),
X=x( p,q,s), y=y(p,u,v) , s=s(u,v), p=p(t) will be .
2. The second order partial derivatives Fxx(x,y) of the function ( F(x,y) =x*y-
In (x²-y) ) equal .
3. The differential of the following function ( Z = x² Sin (6Y) ) is equal
4. The integration form of Sf, XY dA where D is the portion of X? + Y? = 2 in
the 1" quadrant will be .
5. The type of roots of the 2nd order differential equation [y-4y - 12y = 0]
is .
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