Find the equation of the tangent and normal to the given curve at the given point. 1. 2r +3y 5 at (1,1) 2. xy-x'y 12 at (-1.2) 3. =2 at (-1.-1) 4. x+2y+1= 5. x+xy+y =3 at (1,1) 6. x+2ry-y+x=2 at (1.2) 7. x+y (2r+2y-x) at (0, %) 8. + y =4 at (-3V3, 1) 9. 2(x +y) 25(x-y) at (3. 1) 10. y (y-4) x'(x-5) at (0, -2) at (2,-1) x-1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Answer 9-10

Problem Set 5: POLYNOMIAL CURVES and
CURVE TRACING
Find the equation of the tangent and normal to the given
curve at the given point.
1. 2x +3y 5 at (1.1)
2. xy-x'y-12 at (-1.2)
=2 at (-1.-1)
3.
y
4. x+2y+1=-
at (2,-1)
x-1
5. x+xy+y 3 at (1,1)
6. x +2ry-y+x 2 at (1.2)
7. x+y (2r + 2y-x) at (0, %)
8. x +y 4 at (-3V3, 1)
9. 2(x +y) 25(x-y') at (3, 1)
10. y'(y-4) x(x-5) at (0, -2)
Transcribed Image Text:Problem Set 5: POLYNOMIAL CURVES and CURVE TRACING Find the equation of the tangent and normal to the given curve at the given point. 1. 2x +3y 5 at (1.1) 2. xy-x'y-12 at (-1.2) =2 at (-1.-1) 3. y 4. x+2y+1=- at (2,-1) x-1 5. x+xy+y 3 at (1,1) 6. x +2ry-y+x 2 at (1.2) 7. x+y (2r + 2y-x) at (0, %) 8. x +y 4 at (-3V3, 1) 9. 2(x +y) 25(x-y') at (3, 1) 10. y'(y-4) x(x-5) at (0, -2)
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