# LaTeX2HTML 95.1 (Fri Jan 20 1995)
# Associate image original text (scrambled) with physical files.
$key = q/{_inline}$(x^0,,f(x^0))${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$a=1.0${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$f'${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$fapprox0.1${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$5^th${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$fapprox10^-1,,10^-2,,10^-5,,10^-10${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$f(x)=x^2-2${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$(a,f(a))${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$C(Deltax)${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$(b,f(b))${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$CN(Deltax)^3=C(Deltax)^2${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$pi${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$(i)${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$sqrt2${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$f(a),f(c)${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$xi${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{displaymath}f'(x)=fracf(x+Deltax)-f(x)x+Deltax-x~-error{displaymath}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$[a,c]${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$fracx^33-x=0${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$pi2${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$x^2,,x^3,dots${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$f(x)${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$fapprox0.00000000002${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$fapprox0.004${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$f'(x)${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$G=0.5${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$f(x^j)${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$y=2exp(t)${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$f(c)${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$f(x)=0${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{displaymath}(y-f(x^0))=f'(x^0),(x-x^0)~~~~~.{displaymath}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$t^n=nDeltat,~y^n=y(t^n)${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$frac12${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$f(c),f(b)${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$t^n${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$x^j${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$int_0^pisin(x)dx${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{displaymath}f'(x^j)=displaystylelim_xrightarrowx^jfracf(x)-f(x^j)x-x^j~.{displaymath}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$(ii)${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$fapprox0.000006${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$y^n${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$fracdydt=y${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$x^1${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$[a,b]${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$y=(a+b)2${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$x^3${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$x=pmfrac12sqrt8=pmsqrt2${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$f(x)=f(a)+f'(a)(x-a)+f''(xi)frac(x-a)^22${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$b=2.0${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$t^0=0${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$G(x)=int_0^xe^-y^22,dy${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$10^-16${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$x^2-2=0${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$f(x)=x^2${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$b^2-4ac${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$f(b)${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$Deltax=fracb-aN${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$y(t=0)=2${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$t^1=Deltat${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$x^K${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$tan(x)=x${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$c=b-(fracb-af(b)-f(a))f(b)${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$|f(x^K)|;SPM_lt;tol${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$x=(-bpmsqrtb^2-4ac)2a${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$EapproxC(Deltax)^3${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$f(x)=ax^2+bx+c${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$x^2-2x+1=0${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{displaymath}y^n~=~y^n-1+Deltaty^n-1{displaymath}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$y=aexp(t)${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$y=f(b)+(fracf(b)-f(a)b-a)(x-b)${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$f(x)=ax+b${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{displaymath}f(x+Deltax)approxf(x)+f'(x)(x+Deltax-x)+frac12f''(x)(x+Deltax-x)^2+dots{displaymath}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$aneq0${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{displaymath}f'(x)=displaystylelim_Deltaxrightarrow0fracf(x+Deltax)-f(x-Deltax)2Deltax~.{displaymath}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$int_a^bf(x)dx${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$fracdydt=frac-ty,~y(0)=1${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$f(a)${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$7^13${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$n=0,~y^0=2.0${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$x^0=0.9${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$x=1.7320508075792${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$errorapproxfrac12f''(x)(x+Deltax-x)${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$f'(x^j-1)${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$Deltat${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$a=1,,b=0,,c=-22${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$0.5sqrtvarepsilon${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$y^*${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$x^0=0.01${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$Deltax${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$y^n-1${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$varepsilon${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$10^-8${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$f'(x^0)${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$x=-ba${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$f(x)=f(a)+f'(xi)(x-a)${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$x^0${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$f(x)=8x^3+2x^2-5x+1${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$x^2${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$[c,b]${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{displaymath}fracy^n-y^n-1Deltat=y^n-1{displaymath}/;
$cached_env_img{$key} ='
';
1;