In Exercises 1–3, begin by drawing a diagram that shows the relations among the variables. 1. If w = x? + y² + z² and z = x² + y?, find Əw a. aw b. dz дw c. ду, дz х 2. If w = x2 + y – z + sin t and x + y = t, find %3D *). aw дw b. dy, a. c. ду z, 1 дz х, у х, Z (). Əw дw f. дt у, г d. e. az y, t at x, z 3. Let U = f(P, V, T) be the internal energy of a gas that obeys the ideal gas law PV = nRT (n and R constant). Find (). (); a. b. ӘР

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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In Exercises 1–3, begin by drawing a diagram that shows the relations
among the variables.
1. If w = x? + y² + z² and z = x² + y?, find
Əw
a.
aw
b.
dz
дw
c.
ду,
дz
х
2. If w = x2 + y – z + sin t and x + y = t, find
%3D
*).
aw
дw
b.
dy,
a.
c.
ду
z, 1
дz
х, у
х, Z
().
Əw
дw
f.
дt
у, г
d.
e.
az
y, t
at
x, z
3. Let U = f(P, V, T) be the internal energy of a gas that obeys the
ideal gas law PV = nRT (n and R constant). Find
().
();
a.
b.
ӘР
Transcribed Image Text:In Exercises 1–3, begin by drawing a diagram that shows the relations among the variables. 1. If w = x? + y² + z² and z = x² + y?, find Əw a. aw b. dz дw c. ду, дz х 2. If w = x2 + y – z + sin t and x + y = t, find %3D *). aw дw b. dy, a. c. ду z, 1 дz х, у х, Z (). Əw дw f. дt у, г d. e. az y, t at x, z 3. Let U = f(P, V, T) be the internal energy of a gas that obeys the ideal gas law PV = nRT (n and R constant). Find (). (); a. b. ӘР
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