(e) the line r= (2,2+1) + t(1,2,57 3 intersects the surface xy² z³ = 8 orthogonally at (2,2,1)
(e) the line r= (2,2+1) + t(1,2,57 3 intersects the surface xy² z³ = 8 orthogonally at (2,2,1)
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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Hi, this is the whole question and I just need the answer for part (e), thanks for helping

Transcribed Image Text:(d) the curve of intersection between the
Paraboloid z = x² + y² and the Plane
2x=y+z=0 has constant curvature
21√5
(e) the line r= (2,2,1) + t(1, 2,57
intersects the surface xy² z³ = 8
3
orthogonally at (2,2,1)
1. True or false.
2
(a) f ₁ f ²² Sin (x² y) dx dy = *
1
1b) (cy (cosx + 1) dx + sing dy
LAKA
(C) Assuming That z = z(x, y) can be
defined by the function z =
z = sin(xyz)
Then
with explanations
Əx
=y
dz
ay
This is
Z=sin(xyz)
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