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Find slope of sec ant line that connects (-2,f(-2)) and (-1.5,f(-1.5)).\n" }}}{EXCHG {PARA 203 "> " 0 "" {MPLTEXT 1 206 16 "a0:=-2;a1:=-1.5;" }{MPLTEXT 1 206 53 "\nm1:=(f(a1)-f(a0))/(a1-a0);\nsec1:=x->m1*(x-a0)+f(a0);" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#>%#a0G!\"#" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#a1G$!#:!\"\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#m 1G$\"+++++6!\")" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%%sec1Gj+6#%\"xG6 \"6$%)operatorG%&arrowGF(,&*&%#m1G\"\"\",&9$F/%#a0G!\"\"F/F/-%\"fG6#F2 F/F(F(F(6#\"\"!" }}}{EXCHG {PARA 207 "" 0 "" {TEXT -1 59 "11. Estimate slope of tangent to f at the point (-2,f(-2))." }}}{EXCHG {PARA 206 " " 1 "" {XPPMATH 20 "6#%$...G" }}}{EXCHG {PARA 203 "> " 0 "" {MPLTEXT 1 206 10 "a2:=-1.99;" }{MPLTEXT 1 206 53 "\nm2:=(f(a2)-f(a0))/(a2-a0); \nsec2:=x->m2*(x-a0)+f(a0);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#a2G$ !$*>!\"#" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#m2G$\"++]]]g!\"*" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#>%%sec2Gj+6#%\"xG6\"6$%)operatorG%&arr owGF(,&*&%#m2G\"\"\",&9$F/%#a0G!\"\"F/F/-%\"fG6#F2F/F(F(F(6#\"\"!" }}} {EXCHG {PARA 209 "" 1 "" {TEXT -1 0 "" }}}{EXCHG {PARA 210 "> " 0 "" {MPLTEXT 1 207 83 "plot([f(x),sec1(x),sec2(x)],x=-3..0,y=-10..10,color =[red,blue,green],discont=true);" }}{PARA 13 "" 1 "" {GLPLOT2D 552 552 552 {PLOTDATA 2 "6(-%'CURVESG6%7gn7$$!\"$\"\"!$!3++++++++:!#<7$$!3 s\\uz\"p0k&HF-$!3^njP\\&)p+9F-7$$!3j4zKpv)z$pZi#F -$!3!f4@\"Qc4uaFG7$$!3oO&*ezaE\"e#F-$!3--=W\")4T#>%FG7$$!3=Dy`?s%Ha#F- $!3E)ox7vcR-$FG7$$!3Qq0]O*4)*\\#F-$!37S:6j=ag;FG7$$!3I80jEb\\cCF-$!3y+ On5DzfB!#>7$$!3nPdvmSv9CF-$\"3%[TtY%4H%>\"FG7$$!3#*>hGA)[oP#F-$\"3-)pD AK>ja#FG7$$!3!f+Q.#exJBF-$\"3n(fh'z!)4EUFG7$$!3)Rb_a2$f$H#F-$\"3s_&=J^ +hr&FG7$$!3snC+mu<\\AF-$\"3d>EHfPcMvFG7$$!3=ZPqD@')4AF-$\"3!GD)4H=SG#* FG7$$!3'*=)\\i'psm@F-$\"38D)RA#ew=6F-7$$!3mVI(Q4_c7#F-$\"32x7jpw@;8F-7 $$!3!)[\\etZz#3#F-$\"35/tuQa)[`\"F-7$$!30=I&\\PQM/#F-$\"33`wRb9T[F-7$$!3k*)faBB*o&>F-$\"3?,G:!*fNoAF-7$ $!3BxW\\>w]=>F-$\"3U+B#3O0^_#F-7$$!3I8b`(3^q(=F-$\"33M6$[4rQ#GF-7$$!3r Kt\\LCAM=F-$\"3w/\\&z'GQfJF-7$$!3?JI7^HK#z\"F-$\"3iy!*QF^B=NF-7$$!3w]Y \\ZIy^qAT:F-$\"35/gh60/(p'F-7$$!3\"QT!e,K( 4]\"F-$\"3]0!o!y0gzuF-7$$!3u5LPjj*)e9F-$\"3^+b)))o*z#F]x7$$!3GR#)G_C9E6F-$\"3+!\\reQe6v$F]x7$$!3a >$)\\pM*Q3\"F-$\"3/Q>S@,b^dF]x7$$!3#f(*3ejuO1\"F-$\"3qXx5#z_gk(F]x7$$! 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