Consider the function f(x,y) = ex cos y + e³ sinx and the points P(1,0) and Q(-3,3). Find Duf at the point P for which U is a unit vector in the direction of PQ. Also at P,find Duf, if U is a unit vector which Dyf is a maximum.
Consider the function f(x,y) = ex cos y + e³ sinx and the points P(1,0) and Q(-3,3). Find Duf at the point P for which U is a unit vector in the direction of PQ. Also at P,find Duf, if U is a unit vector which Dyf is a maximum.
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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![Consider the function f(x,y) = ex cos y + ey sinx and the points P(1,0)
and Q(-3,3). Find Duf at the point P for which U is a unit vector in the
direction of PQ. Also at P,find Duf, if U is a unit vector which Dyf is a
maximum.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4ea27719-97f8-4615-9199-88912cc9615d%2F6de9927c-52ac-4baa-abe2-cc3ee37023cb%2F6dl6ua_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the function f(x,y) = ex cos y + ey sinx and the points P(1,0)
and Q(-3,3). Find Duf at the point P for which U is a unit vector in the
direction of PQ. Also at P,find Duf, if U is a unit vector which Dyf is a
maximum.
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