The equation of the normal to the curve at the point a(2) is y Note: the Maple syntax for the point [1, 2] is [1, 2]. X
The equation of the normal to the curve at the point a(2) is y Note: the Maple syntax for the point [1, 2] is [1, 2]. X
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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![The equation of the normal to the curve at the point a(2) is
y
Note: the Maple syntax for the point [1, 2] is [1, 2].
BP.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F913f25bd-b2eb-4e87-8f80-5ec552fc3aee%2F49b4548b-ea7e-4499-bf8b-2342779fd097%2Fv826pfd_processed.png&w=3840&q=75)
Transcribed Image Text:The equation of the normal to the curve at the point a(2) is
y
Note: the Maple syntax for the point [1, 2] is [1, 2].
BP.
![Let's return to the Folium of Descartes x³
Set t = 2 in the GeoGebra app below.
Find the point
-4
- 3x y + y² = 0
-3
-2
Y
+y
=
3
=
3xy. This curve has rational parametrisation
a(t) = |
-1
3t 3+²
1+t³¹ 1+t3
3
2-
1
0
-1
-2
-3
a(2) = [2/3, 4/3]
The equation of the tangent to the curve at the point a(2) is
t = -4.8
(-4.8)
-1000*x/5577+1.45
2
& P
3
4](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F913f25bd-b2eb-4e87-8f80-5ec552fc3aee%2F49b4548b-ea7e-4499-bf8b-2342779fd097%2Fh5ejzxa_processed.png&w=3840&q=75)
Transcribed Image Text:Let's return to the Folium of Descartes x³
Set t = 2 in the GeoGebra app below.
Find the point
-4
- 3x y + y² = 0
-3
-2
Y
+y
=
3
=
3xy. This curve has rational parametrisation
a(t) = |
-1
3t 3+²
1+t³¹ 1+t3
3
2-
1
0
-1
-2
-3
a(2) = [2/3, 4/3]
The equation of the tangent to the curve at the point a(2) is
t = -4.8
(-4.8)
-1000*x/5577+1.45
2
& P
3
4
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