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formula 1

# formula 1 - 2 sin A cos B = sin A B sin A − B 2 cos A cos...

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Final Exam / Math 2Z03 -24- NAME: ID #: Some formulas you may use: y p ( x ) = �� y 2 ( x ) f ( x ) W ( y 1 , y 2 ) dx y 1 ( x ) + �� y 1 ( x ) f ( x ) W ( y 1 , y 2 ) dx y 2 ( x ) L{ f ( t ) } = F ( s ) = 0 f ( t ) e st dt. L{ 1 } = 1 s , L{ t n } = n ! s n +1 , L{ e a t } = 1 s a , L{ sin( k t ) } = k s 2 + k 2 , L{ cos( k t ) } = s s 2 + k 2 , L{ f ( t ) } = s F ( s ) f (0) , L{ f �� ( t ) } = s 2 F ( s ) s f (0) f (0) , L{ f ( n ) ( t ) } = s n F ( s ) s n 1 f (0) s n 2 f (0) − · · · − s f ( n 2) (0) f ( n 1) (0) , L{ e a t f ( t ) } = F ( s a ) , L{U ( t a ) f ( t a ) } = e s a F ( s ) , L{U ( t a ) f ( t ) } = e s a L{ f ( t + a ) } , L{ t n f ( t ) } = ( 1) n d n ds n F ( s ) , L{ f g } = L �� t 0 f ( t τ ) g ( τ ) = F ( s ) G ( s ) , L �� t 0 f ( τ ) = F ( s ) s , L{ δ ( t t 0 ) } = e s t 0 . 2 sin( A ) sin( B ) = cos( A
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Unformatted text preview: , 2 sin( A ) cos( B ) = sin( A + B ) + sin( A − B ) , 2 cos( A ) cos( B ) = cos( A + B ) + cos( A − B ) , sin( A + B ) = sin( A ) cos( B ) + cos( A ) sin( B ) , cos( A + B ) = cos( A ) cos( B ) − sin( A ) sin( B ) . *** THE END ***...
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