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Quadratic Functions

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Question based on cyclic coefficient || Concept OF Quadratic function || Important questions based on root OF quadratic equation

If f(x) is a quadratic function such that f(0)=3,f(1)=6 and f(2)=11 , then: f(x)=

If f(x) is a quadratic function such that f(0)=2, f(1) =3 and f(4) =42, find the value of f(5) .

Let f (x) be a quadratic function such that f (0) =1 and f(-1)=4, ifint(f(x))/(x^(2)(1+x)^(2))dx is a rational function then the value of f(10)

Let f (x) be a quadratic function such that f (0) =1 and f(-1)=4, ifint(f(x))/(x^(2)(1+x)^(2))dx is a rational function then the value of f(10)

If f(x)=a x^2+b x+c is a quadratic function such that f(1)=8,f(2)=11 and f(-3)=6 find f(x) by using determinants. Also, find f(0)dot

Let f(x) be a quadratic function such that f(0)=f(1)=0&f(2)=1, then lim_(x rarr0)(cos((pi)/(2)cos^(2)x))/(f^(2)(x)) equal to