There's a circle inscribed above the x-axis and contained inside a parabella f(x)=x^2 with a center point P(h,k) centered on the y axis at x=0, so P(0,k)...We're trying to find k... The circle has a radius of 1 unit. The derivatives at the only two points at which the circle and the parabla meet are equal. Find thte center point P(h,k)

this problem is killing me because I've tried and tried and keep coming to 3/4 - k = 1/2
= and this is where the solution manual says k is 5/4ths ??????? dudes and dudets, look at that, three fourths minus some number is two forths. That number is o

Question

There's a circle inscribed above the x-axis and contained inside a parabella f(x)=x^2 with a center point P(h,k) centered on the y axis at x=0, so P(0,k)...We're trying to find k...  The circle has a radius of 1 unit.  The derivatives at the only two points at which the circle and the parabla meet are equal.  Find thte center point P(h,k)

this problem is killing me because I've tried and tried and keep coming to 3/4 - k = 1/2 
=> and this is where the solution manual says k is 5/4ths  ???????   dudes and dudets, look at that, three fourths minus some number is two forths.  That number is o

anonymous · Answer

yep k is indeed 5/4

anonymous · Answer

I was using the distance formula "backwards"...