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Application of Derivatives

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Short Answer Type

361.

Use differentials to approximate:
$square root of 3.968 end root$

92 Views

362.

Use differentials to approximate:
$square root of 25.2 end root$

82 Views

363.

Use differentials to approximate:
$left parenthesis 0.0037 right parenthesis to the power of 1 half end exponent$

75 Views

364.

Use differentials to approximate:
$square root of 36.3 end root$

87 Views

365.

Use differentials to approximate:
$square root of 49.7 end root$

76 Views

366.

Use differentials to approximate:
$square root of 401$

74 Views

367.

Use differentials to approximate:
$square root of 402$

90 Views

368.
Use differentials to approximate:
$square root of 51$

$Take space space space straight y space equals space square root of straight x comma space space space space space space straight x space equals space 49 comma space space space space dx space equals space δx space equals space 2 space space space so space that space straight x space plus space δx space equals space 51$

$Now comma space straight y plus δy space equals space square root of straight x plus δx end root space space space space space space space rightwards double arrow space space space space space δy space equals space square root of straight x plus δx end root space minus space straight y space equals space square root of 51 space minus space 7 space rightwards double arrow space space space space space space square root of 51 space equals space δy space plus space 7 space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space... left parenthesis 1 right parenthesis space space space space space space space$