1. A spaceship travels along a path given, for t > 0, by the space curve bail (a) (1,-) tnioq auf daro (t), y(t), z(t)) = (t, 0, 2t – t²), intending to land on the surface z = x2 + y? shown below:lt of lollereq %3D | 8) bna (,L) eintog adi da IniH (S.I-)99 oJ (8 S,1)9 m roitampe odemenaq bat o anoitaupe oidenq bai ol eoulsv edi bad neda od no aluioq lle odioeab o an1 lo aoulev sdt oiede vllent bns iog noitoseneini odt bail (a) (0,5.8-)+ (,08) = (1)r h - (0,5 8) = () eonil oesrda autstooo dailt analg lo otte z = f(x, y) = x +y? s0 ++ emalg adi i eoif (0,0,2) iog edi tat wode () 8 bi (d) don eaob (S- Find the time at which the spaceship lands, and the coordinates of the landing point.
1. A spaceship travels along a path given, for t > 0, by the space curve bail (a) (1,-) tnioq auf daro (t), y(t), z(t)) = (t, 0, 2t – t²), intending to land on the surface z = x2 + y? shown below:lt of lollereq %3D | 8) bna (,L) eintog adi da IniH (S.I-)99 oJ (8 S,1)9 m roitampe odemenaq bat o anoitaupe oidenq bai ol eoulsv edi bad neda od no aluioq lle odioeab o an1 lo aoulev sdt oiede vllent bns iog noitoseneini odt bail (a) (0,5.8-)+ (,08) = (1)r h - (0,5 8) = () eonil oesrda autstooo dailt analg lo otte z = f(x, y) = x +y? s0 ++ emalg adi i eoif (0,0,2) iog edi tat wode () 8 bi (d) don eaob (S- Find the time at which the spaceship lands, and the coordinates of the landing point.
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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Transcribed Image Text:1. A spaceship travels along a path given, for t > 0, by the space curve bail (a) a
r(t) = (x(t), y(t), z(t)) = (t, 0, 2t – t²),
Drs Toloev bail (d)
intending to land on the surface z = x2 + y? shown below: odt o lellereg
18-0-
8) bas (,L) antog adi da
roitanpe odentenaq bai
anoitaupe oidemnq bal
10l 2oulsv i od bni nedi
od no alnioq lle odimeab oi
aa lo aoulev sdt sisde yllenfR bas
y
niog noitoseneini odt bail (6)
(0.S.S-)e+ (S,0.8) = (0)r h (0,88)= (3)
z = f(x, y) = x² + y²
edt bne & s0++ emalq edt ai eoil (0,0,8)9 Jaiog edi ta wole () 8
.dom eaob (S-
Find the time at which the spaceship lands, and the coordinates of the landing point.
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