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Find all real numbers A , B such that the function f (x) = A.2x + B, satisfies the conditions f ` (1) = 2 and integral of f (x)dx = 7 ( 0 to 3). Find all real numbers A , B such that the function f (x) = A.2x + B, satisfies the conditions f ` (1) = 2 and integral off (x)dx = 7 ( 0 to 3).
Differentiate the function :f`(x) = 2Af`(1) = 2A = 2Hence, A = 1Integrate the function :Ax^2 + Bx : 0 to 3 = 79A + 3B = 79 + 3B = 7B = -2/3ThanksBharat Bajajaskiitians facultyIIT Delhi
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