process control answers

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@ fnt (q I faa o. u"rl- shp 4oT. i. r r X (r) = Y(*) = 2.T {z (r + 3r-') (, - o.s+-'a o,o6riz) z.a tz (r*3r') (, - o.z€')( r -o.lf'X,-u') .B T+ t-0,3l:l J[-err [= = 5Qo t =5 t. r=3'j3 $: 2.4 tr ( r+3 +-') Cr-o'3 t:fr-$ z.? t-1Cr+3a-,) (r-0.11-';(r-1-,) t- o,z{l C, l- +-l = -$29.3 - l1-7E n - z.+ +-a ( r+3t-') I - ( r -o,zr-) (r-0.3s-,) I e-,= r uot 5. (.*-s.) p(xat) = 5$o (o.z)h - +zL+.3(o.g)'+ t9.23 , ht*c, nt Ir2'3'"' U' (t6t) = 0, .6 (zot) = Z.*t t 7 (sct): t2.t6r N(oo+) : t(.T2; f (5ar1 = l8.rY, 7(e at) =,5.02, v(?at)= 11.2,, ___ 38s I (r- u')

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Process Control Answers

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Page 1: Process Control Answers

@ fnt(q I faa o. u"rl- shp 4oT. i. r r X (r) =

Y(*) =2.T {z (r + 3r-')

(, - o.s+-'a o,o6riz)

z.a tz (r*3r')(, - o.z€')( r -o.lf'X,-u')

.BT+t-0,3l:l

J[-err

[= = 5Qot =5

t. r=3'j3$:

2.4 tr ( r+3 +-')

Cr-o'3 t:fr-$z.? t-1Cr+3a-,)(r-0.11-';(r-1-,)

t- o,z{lC,

l- +-l

= -$29.3

- l1-7En - z.+ +-a ( r+3t-') I

-

( r -o,zr-) (r-0.3s-,) I e-,= r

uot 5. (.*-s.)

p(xat) = 5$o (o.z)h - +zL+.3(o.g)'+ t9.23 ,

ht*c, nt Ir2'3'"'

U' (t6t) = 0, .6 (zot) = Z.*t t 7

(sct): t2.t6r N(oo+)

: t(.T2;

f (5ar1 = l8.rY, 7(e at) =,5.02, v(?at)= 11.2,, ___

38s

I

(r- u')

Page 2: Process Control Answers

&(b)

2a-to f a- \1-q

2+tr (t+r) +

z'?e + t,tz.?t - Q.of+t,flf I,o.t6fa

l2.lf- l.fl+n+o.l6t-at2-lf - tf.z2r{+6'80+-a- o.?3 C3

.16'?l i'- 6.6r+l.-1 + o?? +-316.+l ir- zl' o?i2+9.3 ( t-i- t.oo f h

rr q3 r?_ R 63 r::]::;f,63t'3+, oof{

lf'{3 i-1- z\.6t++-3+ ro.32fY- t.,tit't I'or f3-1. 3zr-q+ r.rr {:s; 1 .o t t'3- 2?.52 f q+ lo'6t{f- t'ltfi5

lj.zo t-q- t'sq f r+ r.rq i

386

Y(.) =(t"-o'se,+o'oo) (t-r)

z.T e + 8.1

t3 - r,l *+ o'56 t - o'oi

US;5 lou.5 *uiriol

2,I f 2+ r z. t f f 3+

I 6' ?t f $+r t. rf ii1t, or f 6*r t. zrl

f- r'rto.S(r-0.06

1t r^c,foaa r

f(nat) 4n^.-- 1,7,---,4 is {tr sa}xc- a3 lk val'rcr

c^tc.hlerl ah {Le er^d otr geel (a).

(c) Fao.^ *\r ahltdt^ *u pe^F (a), {l"e t}cada -sh'h of g ir

l: ff"ort = $[slo(c.z)^- qlq.3(o,r)"+rq'28] = R.zt