Mathematics: Determine the y-intercept of x 12 + y 3 = 2

Determine the y-intercept of x 12 + y 3 = 2

wutwut2261

14.01.2022

The y-intercept of the curve is $y = \sqrt[3]{2}$ .

Step-by-step explanation:

The equation of the given curve is $x^{12} + y^{3} = 2$ .

Now, the y-intercept of the above given curve will be obtained by putting x = 0. {Since at y-intercept the x-coordinate becomes zero}

So, from the equation above we get

$(0)^{12} + y^{3} = 2$

⇒ $y^{3} = 2$

⇒ $y = \sqrt[3]{2}$

Therefore, the y-intercept of the curve is $y = \sqrt[3]{2}$ . (Answer)

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