The figure shows a line L, in space and a second line L2, which is the projection of L₁ onto the xy-plane. (In other words, the points on L₂ are directly beneath, or above, the points on L₁.) (a) Find the coordinates of the point P on the line L₁. (b) Locate on the diagram the points A, B, and C, where the line L₁ intersects the xy-plane, the yz-plane, and the xz-plane, respectively. Isiones d L₁ P ZA

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Chapter2: Second-order Linear Odes
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43. (a) (2, 1,4) (b) Lì
PI
C
P
ZA
1
0
199ster's Fede
Astri L₂
A
B
TO
er
Transcribed Image Text:43. (a) (2, 1,4) (b) Lì PI C P ZA 1 0 199ster's Fede Astri L₂ A B TO er
42. The solid upper hemisphere of the sphere of radius 2 centered
at the origin
900
43. The figure shows a line L, in space and a second line L2,
which is the projection of L₁ onto the xy-plane. (In other words,
the points on L2 are directly beneath, or above, the points Up!
on L₁.)
(a) Find the coordinates of the point P on the line L₁.
(b) Locate on the diagram the points A, B, and C, where
the line L₁ intersects the xy-plane, the yz-plane, and the
xz-plane, respectively.
JEDY
Isi
TERCO
907108
XX
L₁
P
ZA
1
0
1
SBAUDIA
L2
14. Consider the points P such that the distance from P to
A(-1, 5, 3) is twice the distance from P to B(6, 2, -2). Show
of all such points is a sphere, and find its center and
Transcribed Image Text:42. The solid upper hemisphere of the sphere of radius 2 centered at the origin 900 43. The figure shows a line L, in space and a second line L2, which is the projection of L₁ onto the xy-plane. (In other words, the points on L2 are directly beneath, or above, the points Up! on L₁.) (a) Find the coordinates of the point P on the line L₁. (b) Locate on the diagram the points A, B, and C, where the line L₁ intersects the xy-plane, the yz-plane, and the xz-plane, respectively. JEDY Isi TERCO 907108 XX L₁ P ZA 1 0 1 SBAUDIA L2 14. Consider the points P such that the distance from P to A(-1, 5, 3) is twice the distance from P to B(6, 2, -2). Show of all such points is a sphere, and find its center and
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