math making connections

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8 . 5 M a k i n g C o n n e c t i o n s M o d e l l i n g W i t h C o m b i n e d F u n c t i o n s

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Page 1: Math   making connections

8 . 5 M a k i n g C o n n e c t i o n s

M o d e l l i n g W i t h C o m b i n e d F u n c t i o n s

Page 2: Math   making connections

S k i i n g

A d d i t i o n o f a L i n e a r a n d a S i n u s d o i d a l F u n c t i o n

+

=

Page 3: Math   making connections

c o m b i n i n g m u s i

c a l n o t e s

A d d i t i o n o f t w o S i n u s o i d a l

F u n c t i o n s

Note FrequencyC 262

C# 277D 294

D# 311E 330F 349

F# 370G 392

G# 415A 440

A# 466B 494

high C 524

I ( t ) = s i n ( 2 f t )

Page 4: Math   making connections

M a n y o t h e r s i m p l e s i t u a t i o n s c a n b e m o d e l l e d b y c o m b i n i n g f u n c t i o n s t h a t h a v e b e e n s t u d i e d i n t h i s c o u r s e