Respuesta :

Tada, Its on the Image. Hoped I helped :)
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Answer:

Refer the attached figure below.                  

Step-by-step explanation:

Given : The rose curve  [tex]r=-3\sin (5\theta)[/tex]

To find : Draw a graph of the rose curve?

Solution :

We have given the curve  [tex]r=-3\sin (5\theta)[/tex] in polar form.

In Cartesian coordinates, a point is specified by X and Y values.

In polar coordinates, a point is specified by r and θ

Where, r is the point radical distance from the origin.

and θ is the angle that gives the direction between the positive x axis and the point.

Now, we plot the graph of curve [tex]r=-3\sin (5\theta)[/tex]

where, [tex]0\leq \theta \leq 2\pi[/tex]

Refer the attached figure below.

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