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18. A normal line to a curve passes through a point P on the curve perpendicular to the line tangent to the curve at P (see figure). Use the following equation and graph to determine an equation of the normal line at the given point and illustrate your work by graphing the curve with the normal line. 2x² + 3xy + 6y² = 32; (1,2) Write the equation of the normal line at the given point. y = Choose the correct graph of the curve with the normal line below. OA. O B. *P(1.2) Ay G O C. Ау ✓ +++> Ay P(1,2) 4

18. A normal line to a curve passes through a point P on the curve perpendicular to the line tangent to the curve at P (see figure). Use the following equation and graph to determine an equation of the normal line at the given point and illustrate your work by graphing the curve with the normal line. 2x² + 3xy + 6y² = 32; (1,2) Write the equation of the normal line at the given point. y = Choose the correct graph of the curve with the normal line below. OA. O B. *P(1.2) Ay G O C. Ау ✓ +++> Ay P(1,2) 4

Advanced Engineering Mathematics
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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18. A normal line to a curve passes through a point P on the curve perpendicular to the line tangent to the curve at P (see figure). Use the following equation and graph to determine an equation of the normal line at the given point and illustrate your work by graphing the curve with the normal line. 2x² + 3xy + 6y² = 32; (1,2) Write the equation of the normal line at the given point. y = Choose the correct graph of the curve with the normal line below. O A. O B. *P(1.2) Ay G O C. Ау Ay +++> P(1,2) 4
Transcribed Image Text:18. A normal line to a curve passes through a point P on the curve perpendicular to the line tangent to the curve at P (see figure). Use the following equation and graph to determine an equation of the normal line at the given point and illustrate your work by graphing the curve with the normal line. 2x² + 3xy + 6y² = 32; (1,2) Write the equation of the normal line at the given point. y = Choose the correct graph of the curve with the normal line below. O A. O B. *P(1.2) Ay G O C. Ау Ay +++> P(1,2) 4
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