5. Which of the following is an equation of the line normal to y = ex at (1,e)?
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A. y = e + e-1 – e-1x |
B. y = e - e-1 + e-1x |
C. y = ex |
|
D. y = 2e - ex |
E. y = 2e + ex |
Solution: The answer is A
Let,
So, that the corresponding partial derivatives of F(x,y) at the point (1,e) are,
Thus, the symmetric equations of the normal line are given by,
Which can be written as,
