9. Calculate lim (2,y,2)→(0,0,0) x² + y² + z² by converting to spherical coordinates.

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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9

volume, and temperature of a confined gas, where n is the number of moles of gas and
R is the universal gas constant. Show that (aV/ƏT)(ƏT/ƏP)(@P/ƏV) = –1.
9. Calculate
lim
(0,y,2)→(0,0,0) ? + y? + z2
by converting to spherical coordinates.
10. Calculate D(fo g) for the functions f(x,y, z) = (x + y + z,
x³ – eyz) and g(s.t.u) =
Transcribed Image Text:volume, and temperature of a confined gas, where n is the number of moles of gas and R is the universal gas constant. Show that (aV/ƏT)(ƏT/ƏP)(@P/ƏV) = –1. 9. Calculate lim (0,y,2)→(0,0,0) ? + y? + z2 by converting to spherical coordinates. 10. Calculate D(fo g) for the functions f(x,y, z) = (x + y + z, x³ – eyz) and g(s.t.u) =
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