matlab5 - Solutions to Problems in Chapter Five Test Your...

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Unformatted text preview: Solutions to Problems in Chapter Five Test Your Understanding Problems T5.1-1 The session is x = [0:0.1:35]; y = 0.4*sqrt(1.8*x); plot(x,y),xlabel( Distance (miles) ), ... ylabel( Height (miles) ),axis([0 35 0 3.5]),... title( Rocket Height as a Function of Downrange Distance ) The plot is shown in the figure. 5 10 15 20 25 30 35 0.5 1 1.5 2 2.5 3 3.5 Distance (miles) Height (miles) Rocket Height as a Function of Downrange Distance Figure : for Problem T5.1-1. 5-1 T5.1-2 The session is x = [0:0.01:2*pi]; f = tan(cos(x))-sin(tan(x)) ; fplot(f,[0 2*pi]) [x,y] = fplot(f,[0 2*pi]); size(x) ans = 292 1 The plot shown in the figure was generated with the fplot command. It would take 292 values of x to obtain the same plot using the plot command. 1 2 3 4 5 6-2-1.5-1-0.5 0.5 1 1.5 2 Figure : for Problem T5.1-2. 5-2 T5.1-3 The session is z = 0.2+.8i; n = [0:0.01:20]; plot(z.^n),xlabel( Real ),ylabel( Imaginary ),... title( Plot of (0.2+0.8i)^n for n = [0,20] ),... axis([-1 1 -1 1]) The plot is shown in the figure.-1-0.8-0.6-0.4-0.2 0.2 0.4 0.6 0.8 1-1-0.8-0.6-0.4-0.2 0.2 0.4 0.6 0.8 1 Real Imaginary Plot of (0.2+0.8i)^n for n = [0,20] Figure : for Problem T5.1-3. 5-3 T5.2-1 The session is t = [0:0.01:8];v = [-8:0.01:8]; z = exp(-.5*t).*cos(20*t-6); u = 6*log10(v.^2+20); subplot(2,1,1) plot(t,z),xlabel( t ),ylabel( z ) subplot(2,1,2) plot(v,u),xlabel( v ),ylabel( u ) The plots are shown in the figure. 1 2 3 4 5 6 7 8-1-0.5 0.5 1 t z-8-6-4-2 2 4 6 8 7 8 9 10 11 12 v u Figure : for Problem T5.2-1. 5-4 T5.2-2 The session is x = [0:5];y1 = [11,13,8,7,5,9]; y2 = [2,4,5,3,2,4]; plot(x,y1, * ,x,y2, + ,x,y1,x,y2,-- ),... xlabel( x ),ylabel( y1, y2 ),... legend( y1 , y2 ) Note that the legend command acts on the first two pairs in the plot command. The plot is shown in the figure. y1 y2 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 2 4 6 8 10 12 14 x y1, y2 Figure : for Problem T5.2-2. 5-5 T5.2-3 The session is x = [0:0.01:2]; y1 = cosh(x);y2 = 0.5*exp(x); plot(x,y1,x,y2, -- ),xlabel( x ),ylabel( y ),... legend( cosh(x) , 0.5exp(x) ) The plot is shown in the figure. cosh(x) 0.5exp(x) 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2 0.5 1 1.5 2 2.5 3 3.5 4 x y Figure : for Problem T5.2-3. 5-6 T5.2-4 The session is x = [0:0.01:2]; y1 = sinh(x);y2 = 0.5*exp(x); plot(x,y1,x,y2),xlabel( x ),ylabel( y ),... gtext( sinh(x) ),gtext( 0.5exp(x) ) The plot is shown in the figure. 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2 0.5 1 1.5 2 2.5 3 3.5 4 x y sinh(x) 0.5exp(x) Figure : for Problem T5.2-4. 5-7 T5.2-5 The session is x = [0:0.01:1]; y1 = sin(x);y2 = x-x.^3/3; plot(x,y1),gtext( sin(x) ),hold,plot(x,y2),xlabel ( x ),ylabel( y ),... gtext( x-x^3/3 ) The plot is shown in the figure. Note that the order of the gtext commands is important....
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matlab5 - Solutions to Problems in Chapter Five Test Your...

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