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

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 38E
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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
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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