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Solutions for Questions 6 (page [*]).

Solution 3.10: (3x + 1)2 + 22,     (2x - 1)2 - 22,     (3x - 2)2,     t2 - (tx - t)2,(t = $ \sqrt{2}$),     ($ \sqrt{3}$)2 - (2x + 1)2,     (x + $ {\frac{1}{2}}$)2 + ($ \sqrt{7}$/2)2

$\displaystyle {\textstyle\frac{1}{2}}$arcsin$\displaystyle {\frac{2x+1}{\sqrt{3}}}$,        (2x + 1 = $\displaystyle \sqrt{3}$sin y)

$\displaystyle {\frac{1}{\sqrt{2}}}$arcsin(x - 1),        (x - 1 = sin y)

$\displaystyle {\textstyle\frac{1}{3}}$sinh-1($\displaystyle {\textstyle\frac{1}{2}}$(3x + 1)),        (3x + 1 = 2 sinh y)




Ian Craw 2000-01-20