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 = eceat - 2 cos(4t) -(sin ) x = xo +s+ f* sint y = yo +s fx 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 Write Happy Spring as tittle, Happy to y-axis and Spring to the x-axis and legend Loving Butterflies! of all figures. Here is a hint for the item 1 output;

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using for loop

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 = c0st - 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
Write Happy Spring as tittle, Happy to y-axis and Spring to the x-axis and legend Loving Butterflies! of
all figures.
Here is a hint for the item 1 output;
Happy Spring
1.4
1.3
1.2
1.1
0.9
0.8
Loving Butterflies!
1.
Transcribed Image Text: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 = c0st - 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 Write Happy Spring as tittle, Happy to y-axis and Spring to the x-axis and legend Loving Butterflies! of all figures. Here is a hint for the item 1 output; Happy Spring 1.4 1.3 1.2 1.1 0.9 0.8 Loving Butterflies! 1.
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