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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 limits 0 to 3 f(x)dx=7

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

Grade:upto college level

1 Answers

Sher Mohammad IIT Delhi
askIITians Faculty 174 Points
7 years ago
f'(x)=2a=2
a=1
f(x)=2x+b
integral f(x)=x^2+bx
putting limits
(9+3b)=7
3b=-2
b=-2/3

sher mohammad
b.tech, iit delhi


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