use provided code and in python pls

# create a rose curve in polar coordinates and

# add widgets that can control the curve parameters

# such as buttons and sliding bars

from matplotlib import pyplot as plt

from matplotlib.widgets import Slider, Button, RadioButtons

import numpy as np

def update(val):

# you may need to convert val into integers

pass

# main

fig = plt.figure(figsize=(8,8))

ax = fig.add_subplot(1, 1, 1, polar=True)

ax.set_title("Rose Curve", pad = 20)

n, d = 3, 9

# you may need to adjust the theta range and increase the resolution (600)

theta = np.linspace(0, d*16*np.pi, 600)

# you may need to convert negative values of r into positive values

r = np.cos(theta * n / d)

line, = ax.plot(theta, r, color='red')

plt.subplots_adjust(left=0.25, bottom=0.25)

slider1_ax = plt.axes([0.25, 0.15, 0.65, 0.03])

slider2_ax = plt.axes([0.25, 0.1, 0.65, 0.03])

slider1 = Slider(slider1_ax,'n value',0,13,valinit=n,valfmt="%i")

slider2 = Slider(slider2_ax,'d value',1,12,valinit=d,valfmt="%i")

slider1.on_changed(update)

slider2.on_changed(update)

plt.show()

Problem 1. A Rose Curve (5 points) Write a program that creates a rose curve in polar coordinates. You con read about the rose curve here: Rose (mathematics) - Wikipedia. You also need to add matplotlb widgets, two sliding bars that can control the curve parameters n and d. You can read about widgets here: 5 Ider Demo - Matplot 3.3.3 documentation and Gollery - Matplat lb 3.3.3 documentation (scroll down to the end of the page to the Widget Eramples). You can alsa use the partially implemented code an aur class Gnogle Colab. The rose curve parameters n and d define the angular frequency k, ( k=n /dd). Depending on the input value of n and d, your program should generate various rose curves shawn belaw