(a) Let f(x,y) = x² – 5xy. (i) Find the directional derivative at (2, 1) in the direction of i = -i + 3j. (ii) Find the equation of the tangent plane on f(x,y) at (2, 1).

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Chapter2: Second-order Linear Odes
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Q3.
(a)
Let f(x,y) = x² – 5xy.
(i)
Find the directional derivative at (2, 1) in the direction of i = -i + 3j.
(ii)
Find the equation of the tangent plane on f(x,y) at (2, 1).
Transcribed Image Text:Q3. (a) Let f(x,y) = x² – 5xy. (i) Find the directional derivative at (2, 1) in the direction of i = -i + 3j. (ii) Find the equation of the tangent plane on f(x,y) at (2, 1).
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