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I have this question I have a hard time figuring out. Here is the assignment as I got it:

What points are the closests between the functions

x^4 + y^4 = 17

and

x + 8y = 30?

I have started a few times but never really got far. I thought the line between the closets points must be a right angle with the plane x + 8y = 30, which might be solved with dot products. That, and that x^4 + y^4 = 17 describes some type of circle, but I cant really see it in front of me.

Anyone have any pointers? :!!)

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# Calculus Question

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