Solving impossible problem? X^2y + Y^2x = 6

In summary, the conversation discusses a homework problem involving finding the second derivative at a specific point on a curve. One person points out that the given point does not satisfy the equation, leading to a discussion about the accuracy of the problem and how to solve it. However, it is ultimately determined that the given point is not on the curve, making the problem undefined.
  • #1
I'm
44
0

Homework Statement



is( X^2 )y + (Y^2)x = 6, then the second derivative at the point (1,3) is ?

Homework Equations





The Attempt at a Solution



I don't see how this is possible, when I plug in 1 and 3 it comes out as 9 = 6 which isn't true. Can someone tell me if this is wrong? or if the problem is written badly?
 
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  • #2
fair point, but i get 12

( X^2 )y + (Y^2)x = (1)3 = (3^2)1 = 12
are you maybe missing a factor of 2?
 
  • #3
you're right its 12 but how can I solve the problem?
 
  • #4
I'm said:
you're right its 12 but how can I solve the problem?

Have you tried solving for the second derivative first?
 
  • #5
well as you point out, (1,3) is not a point on the curve defined by
(x^2)y + (y^2)x = 6, so you can't really

can you write the exact question?
 
  • #6
Thats the equation I was given.
 
  • #7
it may help if you write the whole question verbatim

but as already said, (1,3) is not a point on the curve defined by (x^2)y + (y^2)x = 6, so the question does not make sense - it is undefined
 

1. What is the first step in solving this problem?

The first step in solving this problem is to rearrange the equation to isolate one of the variables. In this case, we can rearrange the equation to solve for x or y.

2. Can I use substitution to solve this equation?

Yes, substitution is a useful method for solving this type of equation. You can substitute one variable with an expression that involves the other variable, and then solve for the remaining variable.

3. Is there more than one solution to this equation?

Yes, there are typically multiple solutions to equations with two variables. In this case, there are an infinite number of solutions because there are two variables and only one equation.

4. Can I graph this equation to solve it?

Yes, you can graph this equation to visually see the solutions. The points where the graph intersects the x-axis and y-axis are the solutions to the equation.

5. What if I have trouble solving this equation on my own?

If you are having trouble solving this equation, you can seek help from a math tutor or use online resources to learn more about solving equations with two variables. It is important to practice and understand the concepts behind solving these types of equations.

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