Answer :
Answer:
The y-intercept of the curve is [tex]y = \sqrt[3]{2}[/tex].
Step-by-step explanation:
The equation of the given curve is [tex]x^{12} + y^{3} = 2[/tex].
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
[tex](0)^{12} + y^{3} = 2[/tex]
⇒ [tex]y^{3} = 2[/tex]
⇒ [tex]y = \sqrt[3]{2}[/tex]
Therefore, the y-intercept of the curve is [tex]y = \sqrt[3]{2}[/tex]. (Answer)