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We consider a function of two variables f(x,y) defined on an open set \( U Isubseteq R \). Whi following statements is correct? Select one: O a. If the partial derivatives fa, fy, fzy, fyz exist in U then fzy = fyz. O b. If the partial derivatives fa, fy exist and are continuous in U then fy = fyz· O c. If the partial derivatives fa, fy exist and are continuous in U then fzy = fyz· O d. If the partial derivatives faa fu, fru, fuz exist and are continuous in U then fzy = fyz. %3D Oe. If the partial derivatives fru, fuz exist and are continuous in U then fzy = fyz-

We consider a function of two variables f(x,y) defined on an open set \( U Isubseteq R \). Whi following statements is correct? Select one: O a. If the partial derivatives fa, fy, fzy, fyz exist in U then fzy = fyz. O b. If the partial derivatives fa, fy exist and are continuous in U then fy = fyz· O c. If the partial derivatives fa, fy exist and are continuous in U then fzy = fyz· O d. If the partial derivatives faa fu, fru, fuz exist and are continuous in U then fzy = fyz. %3D Oe. If the partial derivatives fru, fuz exist and are continuous in U then fzy = fyz-

Advanced Engineering Mathematics
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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We consider a function of two variables f(x,y) defined on an open set \( U \subseteq R2 \). Whi following statements is correct? ot yet nswered arked out of Select one: O a. If the partial derivatives f, fy, fry, fyz exist in U then fry = fyz. O b. If the partial derivatives fr fu exist and are continuous in U then fy = fyz. O c. If the partial derivatives fr, fy exist and are continuous in U then fzy = fyz. O d. If the partial derivatives fr fus fru, fuz exist and are continuous in U then fry = fyz. Flag estion O e. If the partial derivatives fru, fuz exist and are continuous in U then fzy = fyz-
Transcribed Image Text:We consider a function of two variables f(x,y) defined on an open set \( U \subseteq R2 \). Whi following statements is correct? ot yet nswered arked out of Select one: O a. If the partial derivatives f, fy, fry, fyz exist in U then fry = fyz. O b. If the partial derivatives fr fu exist and are continuous in U then fy = fyz. O c. If the partial derivatives fr, fy exist and are continuous in U then fzy = fyz. O d. If the partial derivatives fr fus fru, fuz exist and are continuous in U then fry = fyz. Flag estion O e. If the partial derivatives fru, fuz exist and are continuous in U then fzy = fyz-
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