Question: Having the following parametric equation for a butterfly: x = s i n ( t ) ( e c o s ( t ) -

Having the following parametric equation for a butterfly:
x=sin(t)(ecos(t)-2cos(4t)-sin5(t12))
y=cos(t)(ecos(t)-2cos(4t)-sin5(t12))
0t12
a) Write a java code segment to appropriately draw this function
b) Update the above code to plot the following variants of Butterfly to show noisy, bold, zigzag, circular and dashed butterflies:
TM240/ TMA
Page 4 of 5
2024/2025 Fall (all except KSA)
1(is melo
c)
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Having the following parametric equation for a

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