Let f:[1/2,1] R be a positive,non constant function and differentiable function such that f’(x)(first deriative)<2f(x) and f(1/2)=1Then the value of a=1/2,b=1 lies in the intervalA (2e-1,2e)B (e-1,2e-1)C (e-1/2,e-1)D (0,e-1/2)Multiple correctPlease answer quickly

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Integral Calculus> Let f:[1/2,1] R be a positive,non constan...

Let f:[1/2,1] R be a positive,non constant function and differentiable function such that
f’(x)(first deriative)<2f(x) and f(1/2)=1
Then the value of $\int_a^b$ a=1/2,b=1
lies in the interval
A (2e-1,2e)
B (e-1,2e-1)
C (e-1/2,e-1)
D (0,e-1/2)
Multiple correct
Please answer quickly

Gaganpreet Singh , 11 Years ago

Grade 12th pass

1 Answers

Arun Kumar

so D,B

Arun Kumar
IIT Delhi
Askiitians Faculty

Last Activity: 11 Years ago

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Integral Calculus> Let f:[1/2,1] R be a positive,non constan...

Let f:[1/2,1] R be a positive,non constant function and differentiable function such that f’(x)(first deriative)<2f(x) and f(1/2)=1Then the value of a=1/2,b=1 lies in the intervalA (2e-1,2e)B (e-1,2e-1)C (e-1/2,e-1)D (0,e-1/2)Multiple correctPlease answer quickly

Gaganpreet Singh , 11 Years ago

Arun Kumar

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Let f:[1/2,1] R be a positive,non constant function and differentiable function such that
f’(x)(first deriative)<2f(x) and f(1/2)=1
Then the value of $\int_a^b$ a=1/2,b=1
lies in the interval
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