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Unformatted text preview: Find the deﬁvaﬁvas ofthe following ﬁmctions: d{f{x) + x) Lst H3.) be a ﬁmstion satisfying tbs diﬂersnﬁs] squsﬁoﬂ d1 1) Let g{s) = {(1) + a, what squsﬁsn does 55(1) sstisf],r = 26(1) + x) 2) 501v: the diHBrsnﬁs] squsﬁon you shtsinsd from the p311 l) d(f(x) + x) 3) Find all soluﬁons ofths diHerenﬁs] Equation d1 = HEX) + x) Compute dmivaﬁves of following ﬁmcﬁons
1) {(1) = 5“1
gym = e 1*” ma) = x3 111 (21:) 1
Sketch the graph of {(1) = 413 + — for x r: o.
E A point is moving on the graph efxy = 14. When the point is at {12), its a—ceerdinate is
increasing h},r T units per second. How fast is the y—ceerdinate changing at that moment? The y—ceerdinate is at D units per second. Find the dimensions of a closed rectangular has with a square hsse and VDhIEElE 64 in3 that can
he ennstmeted with the least smellnt nfmsteris]. What are the dimensions of the hex? The length of one side of the hsse is D in.
The height nfthe box is D in. The ﬁgure below shows a Norman window=
which consists of a rectangle capped by a
semicircular region. Find the value ofa. such
that the perimeter ofthe window will he 11 feet and the area will he as large as possible. Y 21' a=: feet {Type an exact answer= using it as needed). Solve the given equaﬁoﬂ for x
2
l) 5" 25"= 125 2)ln(x+l)1n{x—2)=l 3)3]nx]1131={J ...
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 Fall '10
 XIAOWEIWANG

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