Recent content by fuzzwolfie

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    Are the Curves 2x^2 + y^2 = 3 and x = y^2 Orthogonal?

    Ok! So going back to the original 2 equations, I now must differentiate them and plug in the given values to see if the slopes are perpendicular to each other. When i plugged in (1,1) I received the slopes 6 and 1. I then plugged in (1, -1) and got the slopes 2 and -3. Based of this, I can...
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    Are the Curves 2x^2 + y^2 = 3 and x = y^2 Orthogonal?

    I would think it means Y can equal 1 or -1 and either squared would equal one. making he equation true. (1=1) Is this right?
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    Are the Curves 2x^2 + y^2 = 3 and x = y^2 Orthogonal?

    Ok! And thank you for the welcome! =) ok. So I'll need to set them equal to each other, right? So I'd have 2x^2 + y^2 -3= y^2 -x Which can simplify to 2x^2 + x -3= 0 So...to solve this I'd need to use the quadratic formula, correct? Which would give me x= 1 and -3/2. From there I...
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    Are the Curves 2x^2 + y^2 = 3 and x = y^2 Orthogonal?

    Homework Statement Two curves are said to be orthogonal if their derivatives are opposite reciprocals at the point where the two curves intersect. Are 2x^2 + y^2 =3 and x= y^2 orthogonal?Homework Equations I'm not entirely sure what to put here, but I think one relevant thing is to say that...