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Prachi Kashyap posted an Question
February 03, 2022 • 17:02 pm
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30 points
30 points
- IIT JAM
- Mathematics (MA)
51. let f: 0, co)>[0, co) be a twice differentiable and increasing function with f (0)) = 0 suppose that for any 20; then length of the are of the curve y = f (
51. Let f: 0, co)>[0, co) be a twice differentiable and increasing function with f (0)) = 0 suppose that for any 20; then length of the are of the curve y = f (x); x 2 0 between x = 0 and x =l is 1+)-1 then f (4) is equal to (upto two decimal) .
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Ans is 16/3 Clear f'(x)=√x So f(x) = x^1.5/1.5