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ID: 2840379 • Letter: Q

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1.(1) 4. That's when the maxima > 0 and minimum < 0.

(b) 2, when fmin > 0.

(c) 2, the function has at least two concave and one convex points

(d) 4. Degree >= max # of possible roots.

(e) -. Two local maxima --> P(+inf) < 0 --> the coefficients of highest term < 0.

but in your typing of (b) and (d) some symbols are not showing up,
In (d), if the symbol just after the arrow was infinity, then the answer is (b).
In (b), not only the symbols right after the arrows but ALSO
the values of the limits are missing, so this one as you typed it is unanswerable.

3.f '(x) = 1 - b/x = 0

=> b/x = 1

=> x = b <<<<<<<<

f ''(x) = -b (-1/x^2) = b/x^2 > 0

so it's a local minimum since f ''(x) > 0 at the critical pt .

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