Let f(x) = ax^2 + bx + c. F(2)=26 , f'(2)=23 , f''(2) = 14, then f(1) is


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f(2) = 26
so 4a + 2b + c = 26

dy/dx at x=2 = 23
so 2ax + b = 24 or 4a + b = 23

f''2 = 14 so 2a = 14
therefore a= 7

4a+b = 23 , a=7 so b = -5

4a + 2b+c = 26
c = 8
f(1) = a+b+c = 7-5+8 =10


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