Q₁: Which of the following are always true, and which one are not (for five only)? Give reason(s) for your answers. a) (uxv).w=u.(v xw) b) (1,2,-4)=i+2j-4z c) The function is continuous at a point even it has no limit on that point. d) For a function f. ,alaways fry=fyx e) Let f be defined such that fy and fx are continuous on an open point set. Then for each point (x,y), fxy (x,y) # fyx (x,y). ± £²₁f²(1 − x)dx dy = f[£²₂1-x dx]dy
Q₁: Which of the following are always true, and which one are not (for five only)? Give reason(s) for your answers. a) (uxv).w=u.(v xw) b) (1,2,-4)=i+2j-4z c) The function is continuous at a point even it has no limit on that point. d) For a function f. ,alaways fry=fyx e) Let f be defined such that fy and fx are continuous on an open point set. Then for each point (x,y), fxy (x,y) # fyx (x,y). ± £²₁f²(1 − x)dx dy = f[£²₂1-x dx]dy
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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![Q₁: Which of the following are always true, and which one are not (for five only)? Give
reason(s) for your answers.
a) (uxv).w = u.(v xw)
b) (1,2,-4)=i+2j-4z
c) The function is continuous at a point even it has no limit on that point.
d) For a function f. ,alaways fy-fyx
e) Let f be defined such that fy and fare continuous on an open point set. Then
for each point (x,y), fxy (x,y) #fyx (x,y).
D ²₁²³(1-x)dx dy = f[²₁1-xdx] dy](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd041c1cd-b272-4883-9809-b7a6de4e4446%2Fb7d5ab46-7a07-4469-9a8d-dc6feee620ff%2Fcv8xzu5_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Q₁: Which of the following are always true, and which one are not (for five only)? Give
reason(s) for your answers.
a) (uxv).w = u.(v xw)
b) (1,2,-4)=i+2j-4z
c) The function is continuous at a point even it has no limit on that point.
d) For a function f. ,alaways fy-fyx
e) Let f be defined such that fy and fare continuous on an open point set. Then
for each point (x,y), fxy (x,y) #fyx (x,y).
D ²₁²³(1-x)dx dy = f[²₁1-xdx] dy
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