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(c) Determine the equation of the tangent plane to the given function at a given point. (i) f(r,y) = 3 cos (r) sin(y) in the direction of v = (1,2) at point (,). (üi) f(x, y) = x2 – 2x – y? + 4y in the direction of v = (1,2). %3D (1, 1) at point

(c) Determine the equation of the tangent plane to the given function at a given point. (i) f(r,y) = 3 cos (r) sin(y) in the direction of v = (1,2) at point (,). (üi) f(x, y) = x2 – 2x – y? + 4y in the direction of v = (1,2). %3D (1, 1) at point

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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(c) Determine the equation of the tangent plane to the given function at a given point. (i) f(r,y) = 3 cos(x) sin(y) in the direction of v = (1,2) at point (, ). (iüi) f(x,y) = x? – 2x – y? + 4y in the direction of v = (1, 1) at point (1,2). (d) Determine the equation of the normal line to the given surface at a given point (i) ++=1 at (1, v2, v6). (ü) xy? – x22 = 0 at (4, –3, v5). 1.
Transcribed Image Text:(c) Determine the equation of the tangent plane to the given function at a given point. (i) f(r,y) = 3 cos(x) sin(y) in the direction of v = (1,2) at point (, ). (iüi) f(x,y) = x? – 2x – y? + 4y in the direction of v = (1, 1) at point (1,2). (d) Determine the equation of the normal line to the given surface at a given point (i) ++=1 at (1, v2, v6). (ü) xy? – x22 = 0 at (4, –3, v5). 1.
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