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CBSE Class 12-science Answered

<div>where this calculus used in daily life explain it?</div>
Asked by shekhawat0151 | 07 May, 2016, 09:40: PM
Expert Answer
begin mathsize 16px style O n e space o f space t h e space u s e space o f space c a l c u l u s space u b space d a i l y space l i f e space i s space P r o p o r t i o n a l minus I n t e g r a l minus D e r i v a t i v e space C o n t r o l l e r.

C o n s i d e r space t h e space w o r k i n g space o f space a n space a i r space c o n d i t i o n e r.
L e t space t h e space r o o m space t e m p e r a t u r e space b y space 35 degree.
S u p p o s e space w e space a r e space p r e s e t t i n g space t h e space t e m p e r a t u r e space i n space A C space a s space 20 degree
T h e space A C space w i l l space s t a r t space t o space c o o l space a t space a space c o n s tan t space r a t e space f i r s t.
A t space a space c e r t a i n space p o i n t space o f space t i m e comma space t h e space r o o m space t e p e r a t u r e space w i l l space o v e r s h o o t space 20 degree space a n d space m a y space r e a c h space a r o u n d space 15 degree.
I t space t h e n space d e c r e a s e s space t h e space c o o l i n g space r a t e space d o w n space s i g n i f i c a n t l y space s o space t h a t space t h e space r o o m space t e m p e r a t u r e space c a n space g o space u p.
T h e space t e m p e r a t u r e space m i g h t space o v e r s h o o t space a g a i n space a n d space r e a c h space 21 degree. space I t space i n c r e a s e s space t h e space c o o l i n g space a g a i n space a n d space k e e p s space
o s c i l l a t i n g space a r o u n d space t h e space t a r g e t space t e m p e r a t u r e space t i l l space t h e space e r r o r space g e t s space i n f i n i t e s i m a l l y space s m a l l.

T h u s comma space P I D space i s space a space c o n t i n u o u s space m a c h i n e space l e a r n i n g space l o o p space w h e r e space y o u space n e e d space t o space o c n t r o l space t h e space f l o w space o f space t h e
o u t p u t space w i t h o u t space h a v i n g space a n y space p r i o r space i n f o r m a t i o n space o f space t h e space i n p u t. space T h u s space P I D space u t i l i s e s space c a l c u l u s space a t space t h i s space p o i n t.
I n space a space s i m i l a r space m a n n e r comma space P I D space c o n t r o l l e r space i s space u s e d space i n space r o c k e t space l a u n c h i n g space a n d space o t h e r space l a t e s t space t e c h n o log i e s. end style
 
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