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Dmtivibdb

Dmtivibdb 4. 4. Ld Ld phebihethphebiheth

[uetudmiýe [uetudmiýe Rftdl Rftdl =; =; puetfspuetfs

[uetfs [uetfs pfr pfr prh`uetd prh`uetd > > pts pts m/u. m/u. Hxmhptf Hxmhptf iemisf iemisf m) m) 2 2 ptspts

IE]R^XMMIFEH]3 Lhh y dedlizd mdbd ued bh lds prh`uetds. ^hspfebh yIE]R^XMMIFEH]3 Lhh y dedlizd mdbd ued bh lds prh`uetds. ^hspfebh y

dr`uohetd tu rhspuhstd he lfs mdsfs quh sh th pibd.dr`uohetd tu rhspuhstd he lfs mdsfs quh sh th pibd.

4.4.Mudebf dsmhebhofs pfr ued mdrrhthrd iemliedbd (mfe phebiheth) pfbhofs mfefmhrMudebf dsmhebhofs pfr ued mdrrhthrd iemliedbd (mfe phebiheth) pfbhofs mfefmhr

ld bistdemid quh rhmfrrhofs d trdvés bhl fbýohtrf (muhetdailýohtrfs) bh euhstrfld bistdemid quh rhmfrrhofs d trdvés bhl fbýohtrf (muhetdailýohtrfs) bh euhstrf

vhjïmulf y mfe ue dltïohtrf ld dlturd quh efs hlhvdofs. Ef pfbhofs ohbirvhjïmulf y mfe ue dltïohtrf ld dlturd quh efs hlhvdofs. Ef pfbhofs ohbir

birhmtdoheth euhstrf bhspldzdoihetf he jfrizfetdl, phrf3birhmtdoheth euhstrf bhspldzdoihetf he jfrizfetdl, phrf3

d)d)¶Mýof pfbhofs mdlmuldr hsd bistdemid jfrizfetdl d pdrtir bh lfs bfs bdtfs¶Mýof pfbhofs mdlmuldr hsd bistdemid jfrizfetdl d pdrtir bh lfs bfs bdtfs

ohemifedbfs6 Dr`uohetd mfrrhmtdoheth tu rhspuhstd.ohemifedbfs6 Dr`uohetd mfrrhmtdoheth tu rhspuhstd.

lf pfbhofs mlf pfbhofs mdlmuldr mfdlmuldr mfe ld tre ld tri`fefohtrïd, theihebf i`fefohtrïd, theihebf hehe

muhetd quh ld phebiheth gfrod ue muhetd quh ld phebiheth gfrod ue De`ulf hl mudl lf pfbhofs pfehrDe`ulf hl mudl lf pfbhofs pfehr

he ue binucf, efs bdrïd ue he ue binucf, efs bdrïd ue triäe`ulf rhmtäe`ulf, hstriäe`ulf rhmtäe`ulf, hs

Hetfemhs bfebh pfbhofs usdr ld guemiýe tri`fefoétrimd bhl shefHetfemhs bfebh pfbhofs usdr ld guemiýe tri`fefoétrimd bhl shef

pdrd pfbhr rhsflvhr euhstrf prfnlhod.pdrd pfbhr rhsflvhr euhstrf prfnlhod.

n)n)¶Hsmrinh ld¶Hsmrinh ld rhldmiýe odthoätimdrhldmiýe odthoätimdquh li`d hl bhspldzdoihetf pfr ld rdopd,quh li`d hl bhspldzdoihetf pfr ld rdopd,

ld dlturd y hl bhspldzdoihetf he jfrizfetdl6ld dlturd y hl bhspldzdoihetf he jfrizfetdl6 Ld rhldmiýe pfbrïd shr shef hsLd rhldmiýe pfbrïd shr shef hs

i`udl d mdthtf fpuhstf hetrh ld jipftheusd.i`udl d mdthtf fpuhstf hetrh ld jipftheusd.

>.>.Ievhsti`d qué fmurrh mudebf tfodofs hl shef mfof vdlfr dprfxiodbf bh ldIevhsti`d qué fmurrh mudebf tfodofs hl shef mfof vdlfr dprfxiodbf bh ld

tde`heth pdrd hxprhsdr ld phebiheth tde`heth pdrd hxprhsdr ld phebiheth bh ued mdrrhthrd.bh ued mdrrhthrd.

m)m)Mfoplhtd ld si`uiheth Mfoplhtd ld si`uiheth tdnld (dôdbh lds gilds quh tdnld (dôdbh lds gilds quh mfesibhrhs ehmhsdrids)mfesibhrhs ehmhsdrids)

Äe`ulfÄe`ulf

N (³)N (³)

BistdemidBistdemid

rhmfrribdrhmfrribd

(o)(o)

Dlturd quhDlturd quh

dsmhebhofsdsmhebhofs

(o)(o)

BistdemidBistdemid

jfrizfetdljfrizfetdl

(o)(o)

4;;°she N4;;°she N

(%)(%) 4;;°t` N4;;°t` N

(%)(%) BighrhemidBighrhemid

(%)(%)

44 :: ;.4=97 ;.4=97 0.99:0 4.028> 0.99:0 4.028> 4.0288 4.0288 ;.;;;=;.;;;=

>> :: ;.>094 ;.>094 0.9984 =.2:99 0.9984 =.2:99 =.29>; =.29>; ;.;;>4;.;;>4

== :: ;.24:7 ;.24:7 0.9:9; 8.>==0.9:9; 8.>==8 8 8.>2;0 8.>2;0 ;.;;0>;.;;0>

22 :: ;.88:; ;.88:; 0.9:;8 0.9:;8 7.9087 7.9087 7.99>7 7.99>7 ;.;40;.;40

88 :: ;.790> ;.790> 0.9798 0.9798 :.0488 :.0488 :.02:: :.02:: ;.;===;.;===

77 :: ;.:=7> ;.:=7> 0.9874 4;.28>: 0.9874 4;.28>: 4;.84;2 4;.84;2 ;.;807;.;807

00 :: ;.9029 ;.9029 0.92;= 0.92;= 4>.4:79 4>.4:79 4>.>0:2 4>.>0:2 ;.;948;.;948

:: :: 4.44== 4.44== 0.9>>4 0.9>>4 4=.940= 4=.940= 42.;82; 42.;82; ;.4=70;.4=70

99 :: 4.>842 4.>842 0.9;48 48.72=2 0.9;48 48.72=2 48.:=:2 48.:=:2 ;.498;.498

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DmtivibdbDmtivibdb 4.4. LdLd phebihethphebiheth

[uetudmiýe[uetudmiýe RftdlRftdl =;=; puetfspuetfs

[uetfs[uetfs pfrpfr prh`uetdprh`uetd >> ptspts m/u.m/u. HxmhptfHxmhptf iemisfiemisf m)m) 22 ptspts

IE]R^XMMIFEH]3IE]R^XMMIFEH]3 LhhLhh yy dedlizddedlizd mdbdmdbd uedued bhbh ldslds prhuetds.prhuetds. ^hspfebh^hspfebh yy druohetd tu rhspuhstd he lfs mdsfs quh sh th pibd.druohetd tu rhspuhstd he lfs mdsfs quh sh th pibd. 4.4. Mudebf dsmhebhofs pfr ued mdrrhthrd iemliedbd (mfe phebiheth) pfbhofs mfefmhrMudebf dsmhebhofs pfr ued mdrrhthrd iemliedbd (mfe phebiheth) pfbhofs mfefmhr ld bistdemid quh rhmfrrhofs d trdvés bhl fbýohtrf (muhetdailýohtrfs) bh euhstrfld bistdemid quh rhmfrrhofs d trdvés bhl fbýohtrf (muhetdailýohtrfs) bh euhstrf vhjïmulf y mfe ue dltïohtrf ld dlturd quh efs hlhvdofs. Ef pfbhofs ohbirvhjïmulf y mfe ue dltïohtrf ld dlturd quh efs hlhvdofs. Ef pfbhofs ohbir birhmtdoheth euhstrf bhspldzdoihetf he jfrizfetdl, phrf3birhmtdoheth euhstrf bhspldzdoihetf he jfrizfetdl, phrf d)d) ¶Mýof pfbhofs mdlmuldr hsd bistdemid jfrizfetdl d pdrtir bh lfs bfs bdtfs¶Mýof pfbhofs mdlmuldr hsd bistdemid jfrizfetdl d pdrtir bh lfs bfs bdtfs ohemifedbfs6 Druohetd mfrrhmtdoheth tu rhspuhstd.ohemifedbfs6 Druohetd mfrrhmtdoheth tu rhspuhstd. lf pfbhofs mlf pfbhofs mdlmuldr mfdlmuldr mfe ld tre ld trifefohtrïd, theihebfifefohtrïd, theihebf hehe muhetd quh ld phebiheth gfrod uemuhetd quh ld phebiheth gfrod ue Deulf hl mudl lf pfbhofs pfehrDeulf hl mudl lf pfbhofs pfehr he ue binucf, efs bdrïd uehe ue binucf, efs bdrïd ue triäeulf rhmtäeulf, hstriäeulf rhmtäeulf, hs Hetfemhs bfebh pfbhofs usdr ld guemiýe trifefoétrimd bhl shefHetfemhs bfebh pfbhofs usdr ld guemiýe trifefoétrimd bhl shef pdrd pfbhr rhsflvhr euhstrf prfnlhod.pdrd pfbhr rhsflvhr euhstrf prfnlhod. n)n) ¶Hsmrinh ld¶Hsmrinh ld rhldmiýe odthoätimdrhldmiýe odthoätimd quh lid hl bhspldzdoihetf pfr ld rdopd,quh lid hl bhspldzdoihetf pfr ld rdopd, ld dlturd y hl bhspldzdoihetf he jfrizfetdl6ld dlturd y hl bhspldzdoihetf he jfrizfetdl6 Ld rhldmiýe pfbrïd shr shef hsLd rhldmiýe pfbrïd shr shef hs iudl d mdthtf fpuhstf hetrh ld jipftheusd.iudl d mdthtf fpuhstf hetrh ld jipftheusd.

.>. Ievhstid qué fmurrh mudebf tfodofs hl shef mfof vdlfr dprfxiodbf bh ldIevhstid qué fmurrh mudebf tfodofs hl shef mfof vdlfr dprfxiodbf bh ld tdeheth pdrd hxprhsdr ld phebihethtdeheth pdrd hxprhsdr ld phebiheth bh ued mdrrhthrd.bh ued mdrrhthrd. m)m) Mfoplhtd ld siuihethMfoplhtd ld siuiheth tdnld (dôdbh lds gilds quhtdnld (dôdbh lds gilds quh mfesibhrhs ehmhsdrids)mfesibhrhs ehmhsdrids) ÄeulfÄeulf N (³)N (³)

BistdemidBistdemid rhmfrribdrhmfrribd (o)(o)

Dlturd quhDlturd quh dsmhebhofsdsmhebhofs (o)(o)

BistdemidBistdemid jfrizfetdljfrizfetdl (o)(o)

4;;°she N4;;°she N (%)(%)

4;;°tN4;;°t N (%)(%)

BighrhemidBighrhemid (%)(%) 44 :: ;.4=97;.4=97 0.99:00.99:0 4.028>4.028> 4.02884.0288 ;.;;;=;.;;;=

::^ ;.>094;.>094 0.99840.9984 =.2:99=.2:99 =.29>;=.29>; ;.;;>4;.;;> == ::^ ;.24:7;.24:7 0.9:9;0.9:9; 8.>==8.>==8 8 8.>2;08.>2;0 ;.;;0>;.;;0> 22 :: ;.88:;;.88:; 0.9:;80.9:;8 7.90877.9087 7.99>77.99>7 ;.;40;.; 88 :: ;.790>;.790> 0.97980.9798 :.0488:.0488 :.02:::.02:: ;.;===;.;=== 77 :: ;.:=7>;.:=7> 0.98740.9874 4;.28>:4;.28>: 4;.84;24;.84;2 ;.;807;.; 00 :: ;.9029;.9029 0.92;=0.92;= 4>.4:794>.4:79 4>.>0:24>.>0:2 ;.;948;.; :: ::^ 4.44==4.44== 0.9>>40.9>>4 4=.940=4=.940= 42.;82;42.;82; ;.4=70;.4= 99 ::^ 4.>8424.>842 0.9;480.9;48 48.72=248.72=2 48.:=:248.:=:2 ;.498;.

4;4; ::^ 4.=:944.=:94 0.:0:20.:0:2 40.=72:40.=72: 40.7=>740.7=>7 ;.>70:;.>70:

4242 ::^ 4.9=8=4.9=8= 0.07>=0.07>= >2.49>4>2.49>4 >2.9=>:>2.9=>: ;.02;0;.02;

4848 ::^ >.;0;8>.;0;8 0.0>020.0>02 >8.::49>8.::49 >7.0929>7.0929 ;.94=;.94=

4949 ::^ >.7;28>.7;28 0.87240.8724 =>.887:=>.887: =2.2=>0=2.2=>0 4.:0894.:

>;>; ::^ >.0=74>.0=74 0.84080.8408 =2.>;>;=2.>;>; =7.=90;=7.=90; >.498>.

>>>> ::^ >.997:>.997: 0.24020.2402 =0.27;7=0.27;7 2;.2;>72;.2;>7 >.92>>.92>

>2>2 ::^ =.>8=:=.>8=: 0.=;:=0.=;:= 2;.70=72;.70=7 22.8>>:22.8>>: =.:29>=.:29>

>8>8 ::^ =.=:;9=.=:;9 0.>8;20.>8;2 2>.>74:2>.>74: 27.7=;027.7=;0 2.=7:92.=7:

>7>7 ::^ =.8;79=.8;79 0.49;=0.49;= 2=.:=042=.:=04 2:.00=>2:.00=> 2.9=742.9=

=;=; ::^22 7.9>:>7.9>:> 8;8; 80.0=8;80.0=8; 0.0=80.0=

=.=. [fr bhgieimiýe ld phebiheth bh ue mdoief sh fntiheh mfe ld tdeheth bh ld suphrgimih,[fr bhgieimiýe ld phebiheth bh ue mdoief sh fntiheh mfe ld tdeheth bh ld suphrgimih, ¶D pdrtir bh qué äeulf ld bighrhemid hetrh hl vdlfr mfrrhmtf bh ld phebiheth y hl¶D pdrtir bh qué äeulf ld bighrhemid hetrh hl vdlfr mfrrhmtf bh ld phebiheth y hl vdlfr dprfxiodbf (tfodebf hl shef) hvdlfr dprfxiodbf (tfodebf hl shef) hs3s b)b) ¶]uphrifr dl 4%6¶]uphrifr dl 4% ]uphrifr dl 4% hs hl Deulf]uphrifr dl 4% hs hl Deulf 47 yd quh hl Deulf 4847 yd quh hl Deulf 48 lh gdltde pfmfs bhmiodlhslh gdltde pfmfs bhmiodlhs pdrd rhndsdr hl 4% bh bighrhemidpdrd rhndsdr hl 4% bh bighrhemid h)h) ¶Y suphrifr dl 8%6¶Y suphrifr dl 8% Hs hl Deulf >Hs hl Deulf >0 yd quh dl Deulf0 yd quh dl Deulf >7 lh gdltde>7 lh gdltde pfmfs bhmiodlhs pdrd rhndsdrpfmfs bhmiodlhs pdrd rhndsdr hl 8% bhhl 8% bh bighrhemid.bighrhemid. 2.2. Ld odyfrïd bh lds mdrrhthrds pfr lds quh mirmuldofs tihehe ueds phebihethsLd odyfrïd bh lds mdrrhthrds pfr lds quh mirmuldofs tihehe ueds phebiheths ofbhrdbds, quh rdrdoheth suphrde hl 4;%. Heofbhrdbds, quh rdrdoheth suphrde hl 4;%. He tdlhs mirmuestdemids3tdlhs mirmuestdemids

:.:. Jhofs sunibf mfe hl mfmjh ued muhstd ouy prfeuemidbd. Bhspués bh >88 ohtrfsJhofs sunibf mfe hl mfmjh ued muhstd ouy prfeuemidbd. Bhspués bh >88 ohtrfs bh odrmjd jhofs sdlvdbf ue bhseivhl bh 9; obh odrmjd jhofs sdlvdbf ue bhseivhl bh 9; ohtrfs.htrfs. o)o) ¶Muäl hs ld phebiheth bh hsd mdrrhthrd6¶Muäl hs ld phebiheth bh hsd mdrrhthrd L d phebiheth hs bh =>.>9%L d phebiheth hs bh =>.>9% e)e) ¶^hsultdrïd dbhmudbf he hsth mdsf tfodr mfof phebiheth bh¶^hsultdrïd dbhmudbf he hsth mdsf tfodr mfof phebiheth bh ld mdrrhthrd hlld mdrrhthrd hl vdlfr bhl shef6 Druohetd tu rhspuhstd.vdlfr bhl shef6 Druohetd tu rhspuhstd. rdebh mdusd quh sh pihrbde oumjfs bhmiodlhs y hsf prfvfmd quh efs bhrdebh mdusd quh sh pihrbde oumjfs bhmiodlhs y hsf prfvfmd quh efs bh Ef yd quh hl Deulf dl shr ouyEf yd quh hl Deulf dl shr ouy ue rhsultdbf ef ouy prhmisfue rhsultdbf ef ouy prhmisf

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DmtivibdbDmtivibdb 4.4. LdLd phebihethphebiheth

[uetudmiýe[uetudmiýe RftdlRftdl =;=; puetfspuetfs

[uetfs[uetfs pfrpfr prh`uetdprh`uetd >> ptspts m/u.m/u. HxmhptfHxmhptf iemisfiemisf m)m) 22 ptspts

4;4; ::^ 4.=:944.=:94 0.:0:20.:0:2 40.=72:40.=72: 40.7=>740.7=>7 ;.>70:;.>70:

4242 ::^ 4.9=8=4.9=8= 0.07>=0.07>= >2.49>4>2.49>4 >2.9=>:>2.9=>: ;.02;0;.02;

4848 ::^ >.;0;8>.;0;8 0.0>020.0>02 >8.::49>8.::49 >7.0929>7.0929 ;.94=;.94=

4949 ::^ >.7;28>.7;28 0.87240.8724 =>.887:=>.887: =2.2=>0=2.2=>0 4.:0894.:

>;>; ::^ >.0=74>.0=74 0.84080.8408 =2.>;>;=2.>;>; =7.=90;=7.=90; >.498>.

>>>> ::^ >.997:>.997: 0.24020.2402 =0.27;7=0.27;7 2;.2;>72;.2;>7 >.92>>.92>

>2>2 ::^ =.>8=:=.>8=: 0.=;:=0.=;:= 2;.70=72;.70=7 22.8>>:22.8>>: =.:29>=.:29>

>8>8 ::^ =.=:;9=.=:;9 0.>8;20.>8;2 2>.>74:2>.>74: 27.7=;027.7=;0 2.=7:92.=7:

>7>7 ::^ =.8;79=.8;79 0.49;=0.49;= 2=.:=042=.:=04 2:.00=>2:.00=> 2.9=742.9=

=;=; ::^22 7.9>:>7.9>:> 8;8; 80.0=8;80.0=8; 0.0=80.0=

Actividad 1 La pendiente, Ejercicios de Procesos Avanzados de Maquinaria

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DmtivibdbDmtivibdb 4.4. LdLd phebihethphebiheth

[uetudmiýe[uetudmiýe RftdlRftdl =;=; puetfspuetfs

[uetfs[uetfs pfrpfr prhuetdprhuetd >> ptspts m/u.m/u. HxmhptfHxmhptf iemisfiemisf m)m) 22 ptspts

4;4; ::^ 4.=:944.=:94 0.:0:20.:0:2 40.=72:40.=72: 40.7=>740.7=>7 ;.>70:;.>70:

4242 ::^ 4.9=8=4.9=8= 0.07>=0.07>= >2.49>4>2.49>4 >2.9=>:>2.9=>: ;.02;0;.02;

4848 ::^ >.;0;8>.;0;8 0.0>020.0>02 >8.::49>8.::49 >7.0929>7.0929 ;.94=;.94=

4949 ::^ >.7;28>.7;28 0.87240.8724 =>.887:=>.887: =2.2=>0=2.2=>0 4.:0894.:

>;>; ::^ >.0=74>.0=74 0.84080.8408 =2.>;>;=2.>;>; =7.=90;=7.=90; >.498>.

>>>> ::^ >.997:>.997: 0.24020.2402 =0.27;7=0.27;7 2;.2;>72;.2;>7 >.92>>.92>

>2>2 ::^ =.>8=:=.>8=: 0.=;:=0.=;:= 2;.70=72;.70=7 22.8>>:22.8>>: =.:29>=.:29>

>8>8 ::^ =.=:;9=.=:;9 0.>8;20.>8;2 2>.>74:2>.>74: 27.7=;027.7=;0 2.=7:92.=7:

>7>7 ::^ =.8;79=.8;79 0.49;=0.49;= 2=.:=042=.:=04 2:.00=>2:.00=> 2.9=742.9=

=;=; ::^22 7.9>:>7.9>:> 8;8; 80.0=8;80.0=8; 0.0=80.0=

[uetfs[uetfs pfrpfr prh`uetdprh`uetd >> ptspts m/u.m/u. HxmhptfHxmhptf iemisfiemisf m)m) 22 ptspts