Write a code to generate the x and y values for a single butterfly using a for loop. The equations for a butterfly were discovered by Temple H. Feyl in 1989: e*st - 2 cos(4t) – (sin x = xo +s+ f* sin t y = yo +s f cos t Here t goes from 0 to 40pi (first try with step size of 1 and then change it to step size of 0.01), x0 and y0 are the location of the butterfly center, and s scales the height of the butterfly. Notice that these are algebraic equations, not differential equations. Also pay attention for element by element calculations in matrix operations. 1) Plot a magenta butterfly by considering s=0.1, x0=1, y0=1 2) Plot a different figure blue butterfly having twice height of the first one, x0=3, y0=3 3) Put both plots in a single figure Write Happy Spring as tittle, Happy to y-axis and Spring to the x-axis and legend Loving Butterflies! of all figures.

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Write your codes in a single m.file
Write commend to each line for explaining the line
Write a code to generate the x and y values for a single butterfly using a for loop. The equations
for a butterfly were discovered by Temple H. Feyl in 1989:
f = ecost - 2 cos(4t) -(sin )
x = xo +s* f * sint
y = yo +s f* cost
Here t goes from 0 to 40pi (first try with step size of 1 and then change it to step size of 0.01), x0 and y0 are the location
of the butterfly center, and s scales the height of the butterfly. Notice that these are algebraic equations, not differential
equations. Also pay attention for element by element calculations in matrix operations.
1) Plot a magenta butterfly by considering s=0.1, x0=1, y0=1
2) Plot a different figure blue butterfly having twice height of the first one, x0=3, y0=3
3) Put both plots in a single figure
Write Happy Spring as tittle, Happy to y-axis and Spring to the x-axis and legend Loving Butterflies! of
all figures.
Transcribed Image Text:Write your codes in a single m.file Write commend to each line for explaining the line Write a code to generate the x and y values for a single butterfly using a for loop. The equations for a butterfly were discovered by Temple H. Feyl in 1989: f = ecost - 2 cos(4t) -(sin ) x = xo +s* f * sint y = yo +s f* cost Here t goes from 0 to 40pi (first try with step size of 1 and then change it to step size of 0.01), x0 and y0 are the location of the butterfly center, and s scales the height of the butterfly. Notice that these are algebraic equations, not differential equations. Also pay attention for element by element calculations in matrix operations. 1) Plot a magenta butterfly by considering s=0.1, x0=1, y0=1 2) Plot a different figure blue butterfly having twice height of the first one, x0=3, y0=3 3) Put both plots in a single figure Write Happy Spring as tittle, Happy to y-axis and Spring to the x-axis and legend Loving Butterflies! of all figures.
Outpur should look like that
Наpрy Spring
4
3.5
3
2.5
2
1.5
0.5
0.5
1
1.5
2
2.5
3
3.5
RME266
Transcribed Image Text:Outpur should look like that Наpрy Spring 4 3.5 3 2.5 2 1.5 0.5 0.5 1 1.5 2 2.5 3 3.5 RME266
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