3 (a) Locate and classify all stationary points of the function F(x, y) = y² + x²-3xy-6x. (b) Page 2 of 5 (i) RT Recall the ideal gas law P = where R is a constant. Show that the V total derivative dP may be written as: (ii) Module code: CAPE104001 dP P T ● dT dV V . Turn the page over What does this expression tell you about changes in P when: T is changed and V is constant, V is changed and T is constant? THANKS

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Question
3
(a)
(b)
Page 2 of 5
Locate and classify all stationary points of the function F(x, y) = y² + x²-3xy-6x.
(i)
RT
Recall the ideal gas law P = where R is a constant. Show that the
V
total derivative dP may be written as:
(ii)
Module code: CAPE104001
dP
P T
●
dT dv
V
3
Turn the page over
What does this expression tell you about changes in P when:
T is changed and V is constant,
V is changed and T is constant?
Transcribed Image Text:3 (a) (b) Page 2 of 5 Locate and classify all stationary points of the function F(x, y) = y² + x²-3xy-6x. (i) RT Recall the ideal gas law P = where R is a constant. Show that the V total derivative dP may be written as: (ii) Module code: CAPE104001 dP P T ● dT dv V 3 Turn the page over What does this expression tell you about changes in P when: T is changed and V is constant, V is changed and T is constant?
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