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Unformatted text preview: through the origin. 9. Find the linear approximation of the function f ( x ) = 3 √ 1 + x at x = 0 and use this approximation to ﬁnd the approximate numbers 3 √ . 95 and 3 √ 1 . 1. 10. Find the diﬀerential of the function: (i) y = √ 4 + 5 x at x = 0, dx = 0 . 04. (ii) y = tanh x at x = 0, dx =-. 1. 11. the radius of a circular disk is given as 24 cm with maximum error in measurement of 0 . 2 cm. (i) Use diﬀerentials to estimate the maximum error in the calculated area of the disk. (ii) What is the relative error? What is the percentage error? 2...
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- Winter '09