# HW_11a - (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

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Homework #11a: Symbolic 1 Reading: Handout Homework: This assignment will be done entirely in the MATLAB command window. Be sure to make clear your answers and give any explanation that is asked for. Turn problems in IN THE ORDER THEY ARE ASSIGNED. Each problem needs to be labeled so the TA can ﬁnd your work. Complete the following problems: 1. Using symbolic variables, plot the following functions: (a) f ( x ) = x 3 - x + 3 over the interval [ - 2 , 2] (b) f ( t ) = 1 - e - 0 . 5 t [cos(2 t ) + sin(2 t )] over the interval [0 , 10] Be sure to have your plot show the entire curve. 2. Find the simplest analytical form of the following numbers: (a) 0.0078125 (b) 2.236067977499790 (c) 0.754749568221071 (d) 2.704163456597992
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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 4-y 2 9 at (2,3), (-4,3) and ( √ 3, π ) (b) f ( p,q ) = e-p + q ± p 3-5 q 2 + 10 p ² at (-3,6), (6,-3) and (100,75) (c) f ( a,b,c ) = c ( a-b 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.

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