Answer check please

  • Thread starter erik05
  • Start date
  • #1
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If anyone could check this answer for me, it would be greatly appreciated.

Find the equations relating the differentials on the curve [tex] 9y^2= x^3 +3x^2 [/tex] at the points [tex] (1,\frac{2}{3}), (-2,\frac{2}{3}), (-3,0) [/tex]

Here's what I got:

[tex] y'= \frac {x^2+2x}{6y} [/tex]

[tex] m @ (1,\frac{2}{3})= \frac {3}{4} [/tex]
equation: 9x-12y-1=0

[tex] m @ (-2,\frac{2}{3})=0 [/tex]
equation: y= 2/3

[tex] m @ (-3,0) [/tex]
does not exist

Thanks in advance.
 

Answers and Replies

  • #2
xanthym
Science Advisor
410
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erik05 said:
If anyone could check this answer for me, it would be greatly appreciated.

Find the equations relating the differentials on the curve [tex] 9y^2= x^3 +3x^2 [/tex] at the points [tex] (1,\frac{2}{3}), (-2,\frac{2}{3}), (-3,0) [/tex]

Here's what I got:

[tex] y'= \frac {x^2+2x}{6y} [/tex] <------ CORRECT

[tex] m @ (1,\frac{2}{3})= \frac {3}{4} [/tex]
equation: 9x-12y-1=0 <----- CORRECT

[tex] m @ (-2,\frac{2}{3})=0 [/tex]
equation: y= 2/3 <----- CORRECT

[tex] m @ (-3,0) [/tex]
does not exist <----- Should be the Vertical Line {x = -3}

Thanks in advance.
Everything appears correct except the last item.

~~
 
  • #3
50
0
Thanks for the help.
 

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