How would you find a and b so that f and f' is continuous where,

f(x)= x-2 , x<2

ax^(2)-bx , x>= 2

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- Nov 7th 2009, 08:08 PMctranContinuity
How would you find a and b so that f and f' is continuous where,

f(x)= x-2 , x<2

ax^(2)-bx , x>= 2 - Nov 7th 2009, 09:10 PMharbottle
You know:

$\displaystyle a\cdot (2)^2 - b\cdot (2) = 2$

$\displaystyle 2a\cdot (2) - b = -1$

Now you can find a and b