Given w = x + 2y + z², x = x(r, t), y = y(r, t), &z = z(r, t). Əw A. Write an expression for or ər aw aw ər at B. Express or in terms of r and t for w, when x = y = r² + Int, z = 2r. C. Suppose a material's ability to absorb moisture w is a function of its resistivity r and temperature t at each point (x, y, z) in the material. Calculate the rate of change of a material's ability to absorb moisture with respect to r or t when r = 1/2 and t = 2. dw at

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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2. Given w = x + 2y + z², x = x(r, t), y = y(r, t), &z = z(r,t).
aw
aw
A. Write an expression for or
ər
at
aw
B. Express
Əw
?r
in terms of r and t for w, when x = = x,y
y = r² + lnt, z = 2r.
at
C. Suppose a material's ability to absorb moisture w is a function of its resistivity r and
temperature t at each point (x, y, z) in the material. Calculate the rate of change of a
material's ability to absorb moisture with respect to r or t when r = 1 and t = 2.
Or
Transcribed Image Text:2. Given w = x + 2y + z², x = x(r, t), y = y(r, t), &z = z(r,t). aw aw A. Write an expression for or ər at aw B. Express Əw ?r in terms of r and t for w, when x = = x,y y = r² + lnt, z = 2r. at C. Suppose a material's ability to absorb moisture w is a function of its resistivity r and temperature t at each point (x, y, z) in the material. Calculate the rate of change of a material's ability to absorb moisture with respect to r or t when r = 1 and t = 2. Or
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