MATH 1A Midterm: MATH 1A Harvard 1a Midterm2 1996 Fall Solutions
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[1] sketch the graph of the function f ( x ) - r " * ; . Label all intercepts, extrema, and points of inflection (give their co-ordinates), and pay attention to limits and asymptotes. f " ( * \ = z x - z f " ( ; t = z + I i,^^ { (x) x-) (o f (* ) ; r e 1 . m i n . a t ( 1 , 3 ) = c y - i n t e r c e p t and poi l;r^^ f. (r)=^ r . ) o + " I i,^ f (*)b -gr x-r0- y-axis is a vertical asymptote f t t t o f w t " . [2] find two positive numbers whose sum is 12 and such that the product of one of the numbers with the square of the other is as large as possible.
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