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Change of Variables

If f(x) = ax2...

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If f(x) = ax2 + bx + c and f(x) – f(x – 1) = 4x + 5,then a + b equals

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f (x) = a x^{2} + b x + c

satisfies the identity

f (x + 1) - f (x) = 8 x + 3

x ϵ R

(a, b) =

\int \frac{(2 x + 3) d x}{x (x + 1) (x + 2) (x + 3) + 1} = C - \frac{1}{f (x)}

f (x)

is of the form of

a x^{2} + b x + c

(a + b + c)

\dots \dots

a, b, c ε R

f (x) = a x^{2} + b x + c

a + b + c = 3

f (x + y) = f (x) + f (y), \forall x, y ε R

\sum_{n = 1}^{10} f (n)

Q. If f(x) = ax² + bx + c, then f '(1) + f '(4) - f '(5) is equal to _____________________.

a x^{2}

+ bx + c, then the value of a and b for which the identify f(x+1) - f(x) = 8x + 3 is satisfied, are

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