Sunday, April 17, 2011

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Review Items 9, 10 and 11, entrance exams

jb

Derivatives


1) studies the differentiability of this function, according to values \u200b\u200band b :

Solution



2) the derivative:
a)
b) f (x ) = (2 x + 1) x
c) x 2 + 3 + xy and 2 = 0

Solution

3) Check that the function

satisfies the hypotheses of the Mean Value Theorem on the interval [0, 3]. Where
meets the thesis? Solution



4) A plane mirror was shaped like a square of 80 cm side and broke a corner along a line. One of the pieces shaped triangle of legs 40 and 32 cm. Halla
rectangular mirror dimensions maximum area that can be cut from another piece, so that the edges of the new mirror are parallel to those of the original. Solution



5) Study (domain, growth, asymptotes, ...) and represents this function:


Solution

jb

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