calculus......

if f(x) nd g(x) r twice differentiable functions on [0,2] nd if f''(x) = g''(x) nd f' (1) =4 , g' (1)=2 nd f(2)=3 , g(2)=9 then find g(4)- f(4)??

2 Answers

1
gaurav ·

no reply ??@#!..............

1
decoder ·

ans.= 2

first integrate the given eq f'(x)=g'(x)+c

put x=1
u will get c=2

now it's f'(x)=g'(x)+2

integrate again now f(x)=g(x)+2x+c

put x=2

then c=-10

therefore f(x)-g(x)=2x-10 put x=4 and ans=2

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