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NEET Class neet Answered

please answer this ?
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Asked by Prashant DIGHE | 20 Apr, 2020, 10:48: PM
answered-by-expert Expert Answer
V equals square root of 4 plus 4 x end root
fraction numerator d x over denominator d t end fraction equals 2 square root of 1 plus x end root
fraction numerator d x over denominator square root of 1 plus x end root end fraction equals 2 d t
L e t s space t a k e space 1 plus x equals Q
t h e r e f o r e space o n space d i f f e r e n t i a t i n g space w e space g e t
d x equals d Q
fraction numerator d Q over denominator square root of Q end fraction equals 2 d t

O n space i n t e g r a t i n g space b o t h space s i d e s space w e space g e t
integral fraction numerator d Q over denominator square root of Q end fraction equals integral 2 d t
2 Q to the power of 1 half end exponent equals 2 t plus c
i. e
2 left parenthesis 1 plus x right parenthesis to the power of 1 half end exponent equals 2 t plus c
a t space t equals 0 apostrophe x equals 0
h e n c e space
c equals 2
2 left parenthesis 1 plus x right parenthesis to the power of 1 half end exponent equals 2 t plus 2

a t space t equals 2
2 left parenthesis 1 plus x right parenthesis to the power of 1 half end exponent equals 2 left parenthesis 2 right parenthesis plus 2
s q u a r i n g space b o t h space s i d e space a n d space s o l v i n g space w e space g e t
x equals 8 m
Answered by Utkarsh Lokhande | 21 Apr, 2020, 11:40: AM
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