Is there anything special about the tangents to the curves

Chapter 3, Problem 50E

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QUESTION:

Is there anything special about the tangents to the curves \(y^{2}=x^{3}\) and \(2 x^{2}+3 y^{2}=5\) at the points \((1, \pm 1)\)? Give reasons for your answer.

                

Equation Transcription:

Text Transcription:

y^2=x^3

2x^2+3y^2=5

(1,+-1)

Questions & Answers

QUESTION:

Is there anything special about the tangents to the curves \(y^{2}=x^{3}\) and \(2 x^{2}+3 y^{2}=5\) at the points \((1, \pm 1)\)? Give reasons for your answer.

                

Equation Transcription:

Text Transcription:

y^2=x^3

2x^2+3y^2=5

(1,+-1)

ANSWER:

Solution:

Step 1 of 3:

In this problem, we have to determine the behavior of the tangent.

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