Problem 5. Let f(x,y) given below. a. u in the direction of v = (3, 3) b. u in the direction from P to Q = (1,2) c. u in the direction of maximum rate of change d. u in the direction of minimum (ie. most negative) rate of change e. u in the direction perpendicular to Vf(P) = x²y³ - 2x and P = (1,1). Compute Duf(P) for each unit vector u

Advanced Engineering Mathematics
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ISBN:9780470458365
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Chapter2: Second-order Linear Odes
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Problem 5. Let f(x, y) = x²y³ – 2x and P = (1,1). Compute Duf(P) for each unit vector u
given below.
a. u in the direction of v = (3, 3)
b. u in the direction from P to Q = (1, 2)
c. u in the direction of maximum rate of change
d. u in the direction of minimum (ie. most negative) rate of change
e. u in the direction perpendicular to Vƒ(P)
Transcribed Image Text:Problem 5. Let f(x, y) = x²y³ – 2x and P = (1,1). Compute Duf(P) for each unit vector u given below. a. u in the direction of v = (3, 3) b. u in the direction from P to Q = (1, 2) c. u in the direction of maximum rate of change d. u in the direction of minimum (ie. most negative) rate of change e. u in the direction perpendicular to Vƒ(P)
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