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f(x)={(a x(x-1)+b ,, x<1),(x-1 ,, 1lt=xl...

`f(x)={(a x(x-1)+b ,, x<1),(x-1 ,, 1lt=xlt=3),(p x^2+q x+2 ,, x >3):}` Find the values of the constants `a , b , p \ a n d \ q` so that all the following conditions are satisfied `f(x)` is continuous for all `x`, `f^(prime)(1)` does not exist and `f^(prime)(x)` is continuous at `x=3`

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