CBSE Class 12-science Answered

where this calculus used in daily life explain it?

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

Answered by Vimala | 09 May, 2016, 12:18: PM

CBSE Class 12-science Answered

Concept Videos

Relationship between continuity and differentiability - ...

Relationship between continuity and differentiability P ...

Differentiation by chain rule

CALL US / WHATSAPP

Please Login or Sign up to continue!

CBSE Class 12-science Answered

Concept Videos

Relationship between continuity and differentiability - ...

Relationship between continuity and differentiability P ...

Differentiation by chain rule

Choose Filters

Open In Ask A Doubt App ?

Get in Touch

Call / Whats App