euler2an

It is wise to use your calculator to create a table to help out. % error is (y - f(x))/y.

x	m	*tan line equation*	y	*f(x)*	*y - f(x)*	*% error*
0			1	1	0	0
.1	-1	*y = -1(.1) + 1*	*.905*	*.910*	*-.005*	*.005*
.2	*-.805*	*y = -.805(.1) + .905*	*.829*	*.837*	*-.008*	*.01*
.3	*-.629*	*y = -.629(.1) + .829*	*.770*	*.782*	*-.012*	*.015*
.4	*-.47*	*y = -.47(.1) + .770*	*.727*	*.741*	*-.014*	*.019*
.5	*-.327*	*y = -.327(.1) + .727*	*.697*	*.713*	*-.016*	*.022*
.6	*-.197*	*y = -.197(.1) + .697*	*.681*	*.698*	*-.017*	*.024*
.7	*-.081*	*y = -.081(.1) + .681*	*.675*	*.693*	*-.018*	*.026*
.8	*.025*	*y = .025(.1) + .675*	*.680*	*.699*	*-.019*	*.027*
.9	*.12*	*y = .12(.1) + .680*	*.694*	*.713*	*-.019*	*.027*
1	*.206*	*y = .206(.1) + .694*	*.717*	*.736*	*-.019*	*.026*
*1.1*	*.283*	*y = .283(.1) + .717*	*.747*	*.766*	*-.019*	*.025*
*1.2*	*.353*	*y = .353(.1) + .747*	*.784*	*.802*	*-.018*	*.022*
*1.3*	*.416*	*y = .416(.1) + .784*	*.827*	*.845*	*-.018*	*.021*
*1.4*	*.473*	*y = .473(.1) + .827*	*.876*	*.893*	*-.017*	*.019*
*1.5*	*.524*	*y = .524(.1) + .876*	*.929*	*.946*	*-.017*	*.018*
*1.6*	*.571*	*y = .571(.1) + .929*	*.987*	*1.004*	*-.017*	*.017*
*1.7*	*.613*	*y = .613(.1) + .987*	*1.050*	*1.065*	*-.015*	*.014*
*1.8*	*.65*	*y = .65(.1) + 1.050*	*1.116*	*1.131*	*-.015*	*.013*
*1.9*	*.684*	*y = .684(.1) + 1.116*	*1.185*	*1.199*	*-.014*	*.012*
2	*.715*	*y = .715(.1) + 1.185*	*1.257*	*1.271*	*-.014*	*.011*

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