Question 3 i) Using the Cartesian position vector r, show that V (0)²³ + |||| ii) Consider some arbitrary function f(x, y). If the coordinates are rotated such that f takes the form f(u(x, y), v(x, y)) with u = x+my, v= mx-y, me R, show that (34) ². (m² + 1) dy = -kr ||||+2 ¹ ( ( )² + (²) ²) ди Əv iii) Use the total differential or tangent plane or first order Taylor series to compute an approximate answer to f(3.8, 9.25, 15.9), given f(x, y, z)=√xyz and the expansion point (ro, yo, zo) = (4, 9, 16).
Question 3 i) Using the Cartesian position vector r, show that V (0)²³ + |||| ii) Consider some arbitrary function f(x, y). If the coordinates are rotated such that f takes the form f(u(x, y), v(x, y)) with u = x+my, v= mx-y, me R, show that (34) ². (m² + 1) dy = -kr ||||+2 ¹ ( ( )² + (²) ²) ди Əv iii) Use the total differential or tangent plane or first order Taylor series to compute an approximate answer to f(3.8, 9.25, 15.9), given f(x, y, z)=√xyz and the expansion point (ro, yo, zo) = (4, 9, 16).
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section: Chapter Questions
Problem 22RE
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