Question

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

Answer 1

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

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)