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The function f whose graph passes throug...

The function f whose graph passes through (0,7/3) and whose derivative is `x sqrt(1-x^(2))` is given by

A

`f(x) = (1//3) ((1-x^(2))^(3//2) + 7)`

B

`f(x) = (3//2) [sin^(-1) x + 6]`

C

`f(x) = - (1//3) [(1 - x^(2))^(3//2) - 8]`

D

`f(x) = - (2/3) [(1-x^(2)^(3//2) - 8]`

Text Solution

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The correct Answer is:
C
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MCGROW HILL PUBLICATION-INDEFINITE INTEGRATION-SOLVED EXAMPLE ( LEVEL 1 ( SINGLE CORRECT ANSWER TYPE QUESTION ))
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