A car moves from points (0, -1,0) and (0,1,0) through a mountain 0.9 that meets the equation. 0.8 0.5 0.7 z = 1- x2 + y2 0.6 0.5 1) Prove that the length of the track is in 04 u = (x? + y²)-1/2 is 0.3 -0.5 02 (dry de 0.1 S = +r?d0 = 2+ (u du do -1 -0.5 0.5

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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A car moves from points (0, -1,0) and (0,1,0) through a mountain
that meets the equation.
0.9
0.8
0.5
0.7
z = 1- Jx2 + y2
0.6
0.5
1) Prove that the length of the track is in
0.4
u = (x² + y²)-!/2 is
0.3
-0.5
0.2
de
du.
(dr'
0.1
S =
2
+r2d0 =
2+ (u-
du
de
-1
u2
-1
-0.5
0.5
in
-
Transcribed Image Text:A car moves from points (0, -1,0) and (0,1,0) through a mountain that meets the equation. 0.9 0.8 0.5 0.7 z = 1- Jx2 + y2 0.6 0.5 1) Prove that the length of the track is in 0.4 u = (x² + y²)-!/2 is 0.3 -0.5 0.2 de du. (dr' 0.1 S = 2 +r2d0 = 2+ (u- du de -1 u2 -1 -0.5 0.5 in -
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