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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 3 0 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 R 30 f(x)dx = 7.

```
6 years ago bharat bajaj
IIT Delhi
122 Points
```							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
```
6 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
```
6 years ago
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