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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 R 30 f(x)dx = 7.
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
Differentiate the function : f`(x) = 2A f`(1) = 2A = 2 Hence, A = 1 Integrate the function : Ax^2 + Bx : 0 to 3 = 7 9A + 3B = 7 9 + 3B = 7 B = -2/3
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