Find D„f(3, 2), where u = cos(0)i + sin(0)j, using each given value of 0. (i) 4 (ii) 0 3 (iii) 0 3. (iv) Ө — 6.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.2: Trigonometric Equations
Problem 105E
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Given the function:

f(x,y)=3-(x/3)-(y/2)

Solve the questions below, 

Thank you 

(b) Find D„f(3, 2), where u =
cos(0)i + sin(0)j, using each given value of 0.
(i)
= A
4
(ii)
3
(iii) 0
3
(iv) 0 =
ド|o
Transcribed Image Text:(b) Find D„f(3, 2), where u = cos(0)i + sin(0)j, using each given value of 0. (i) = A 4 (ii) 3 (iii) 0 3 (iv) 0 = ド|o
V
(c) Find D,f(3, 2), where u =
using each given vector v.
(i)
v = i +j
(ii) v = -3i – 4j
(ili) v is the vector from (1, 2) to (-2, 6)
(iv) v is the vector from (3, 2) to (4, 5)
(d) Find Vf(x, y).
Vf(x, y)
(e) Find the maximum value of the directional derivative at (3, 2).
(f)
Find a unit vector u orthogonal to Vf(3, 2) and calculate D,
uf(3, 2).
Duf(3, 2) =
%3D
Transcribed Image Text:V (c) Find D,f(3, 2), where u = using each given vector v. (i) v = i +j (ii) v = -3i – 4j (ili) v is the vector from (1, 2) to (-2, 6) (iv) v is the vector from (3, 2) to (4, 5) (d) Find Vf(x, y). Vf(x, y) (e) Find the maximum value of the directional derivative at (3, 2). (f) Find a unit vector u orthogonal to Vf(3, 2) and calculate D, uf(3, 2). Duf(3, 2) = %3D
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