d Suppose that a curve C has implicit equation ax² + xy-2y² + b = 0, where a and b are constants and that the normal to the curve at the point P(1,4) has equation 2y + 3x = 11. Determine the value of a and the value of b. a = b=

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Chapter2: Second-order Linear Odes
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d
Suppose that a curve C has implicit equation
ax² + xy-2y² + b = 0,
where a and b are constants and that the normal to the curve at the point P(1,4)
has equation
2y + 3x = 11.
Determine the value of a and the value of b.
a =
b=
20
Transcribed Image Text:d Suppose that a curve C has implicit equation ax² + xy-2y² + b = 0, where a and b are constants and that the normal to the curve at the point P(1,4) has equation 2y + 3x = 11. Determine the value of a and the value of b. a = b= 20
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