Unformatted text preview: H?‘+—EC.LIL 4. Let f(x) = 6  xl. For 0 < w < J5, Eet A(w) be the area of the triangle formed by the coordinate
axes and the line tangent to the graph of f at the point (w, 6 — wz). (See figure above) (a) Find AU). (13) For what vaiue of w is A(w) amjnimum? ewe“: 10m: tip—x“, o 4 w 4J1:
AC») 2 Area. AOMP
139M Ms) when (w) (9H): (1,5)
eat. W: tj" ({c—wxz) = :m (acw}
where M = 43%;):  2w
lé—(Q‘WL)=‘2W (ac—W) é+wl
%Evciwercqa‘t = (9+wl; )1 fwiercep‘t = Rw A(0=;‘:x7x§: = 49 If. (ewe) _ i. (bi’bo'L); b) A(LC}=§Z((9+LJ‘1) a” + W, thcm _ _._ [(urR((o+w‘)(2w)—~(b+w‘)ﬂ
dw " ‘f “may—7*“ i [(b+wz)(4wL ((94'u1'1))] ‘fur" ‘ (t+w‘)(3t.r‘.— to) w It _ =0 when Lr=JE 1994 BC4 AOAJ‘) is an mbSqu+€ Minchagmn when W=JE (0. 5) N5. 0) Nate: Figure not drawn to scale. ...
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 Fall '08
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