Question: Normal lines A normal line at a point P on a curve passes through P and is perpendicular to the line tangent to the curve

Normal lines A normal line at a point P on a curve passes through P and is perpendicular to the line tangent to the curve at P (see figure). Use the following equations and graphs to determine an equation of the normal line at the given point. Illustrate your work by graphing the curve with the normal line.

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Exercise 25

Data from Exercise 25

Carry out the following steps.

x2 + xy + y2 = 7; (2, 1)

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