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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 f (x)dx = 7.upper limit is 3.lower limit is 0.

Find all real numbers A , B such that the function f (x) = A.2x + B, satisfies the conditions f ' (1) = 2 and
integral f (x)dx = 7.upper limit is 3.lower limit is 0.

Grade:12

1 Answers

bharat bajaj IIT Delhi
askIITians Faculty 122 Points
8 years ago

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



Thanks
Bharat Bajaj
askiitians faculty
IIT Delhi

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