MAD 4301 Midterm: Test 5 Fall 1990

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30 Jan 2019
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December 17, 1990. (1) (10 pts. ) f (x) = 1 x + 1 (a) find the slope of the line between (0, f (0)) and a variable point (x, f (x)) on the graph. (b) find f (0). (2) (5 pts. each) (a) (b) (c) 1 x2 = x3 lim x 0 lim x lim x 0+ (3) (10 pts. ) Find the equation of the tangent line to the graph of y 2 = x(2x2 (6) (15 pts. ) Find the maximum and minimum values of the function f (x) = (x2. 3)2/3 on the interval (7) (15 pts. ) Find all extrema and in ection points of f (x) = x2 + 1/x.

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