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Unformatted text preview: (e) Enter 2 + √ 5. Attempt to ﬁnd the simplest form of the result. Discuss what you see in terms of what you found in the previous examples. 3. Use MATLAB to prove the following identities: (a) sin 2 ( x ) + cos 2 ( x ) = 1 (b) sin( x + y ) = sin( x ) cos( y ) + cos( x ) sin( y ) (c) sin(2 x ) = 2 sin( x ) cos( x ) 4. Evaluate the following functions using the subs command: (a) f ( x,y ) = x 2 4y 2 9 at (2,3), (4,3) and ( √ 3, π ) (b) f ( p,q ) = ep + q ± p 35 q 2 + 10 p ² at (3,6), (6,3) and (100,75) (c) f ( a,b,c ) = c ( ab 2 + 3 )a 2 h bc ( a + b )bc 2 i at (1,0,3), (2,0.5,4) and ( p (2),√ 5,1 3 )...
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This note was uploaded on 04/29/2009 for the course ASE 201 taught by Professor Hayes during the Spring '07 term at University of Texas at Austin.
 Spring '07
 Hayes

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