?(a) What does the equation $y=x^{2}$ represent as a curve in $\mathrm{R}^{2}$?(b)

Chapter 11, Problem 1

(choose chapter or problem)

(a) What does the equation $y=x^{2}$ represent as a curve in $\mathrm{R}^{2}$?

(b) What does it represent as a surface in $\mathrm{R}^{3}$?

Equation Transcription:

$y={x}^{2}$

${R}^{2}$

${R}^{3}$

$z={y}^{2}$

Text Transcription:

y=x^2

R^2

R^3

z=y^2

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?(a) What does the equation \(y=x^{2}\) represent as a curve in \(\mathrm{R}^{2}\)?(b)