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). ¹ ²¹₁₂ ²(1-x) dx dy = f[²₁1-xdx] 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). ¹ ²¹₁₂ ²(1-x) dx dy = f[²₁1-xdx] 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 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).
¹ ²¹₁₂ ²(1-x) dx dy = f[²₁₂1-xdx] dy](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F81f7df2a-7037-4dd2-b937-ea9ebc881e7c%2F0c101894-0a1d-463c-8620-66db7794918d%2F0ncjcbv_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 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).
¹ ²¹₁₂ ²(1-x) dx dy = f[²₁₂1-xdx] dy
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