y 2a a

Q: a) Reproduce the algebra required to convert this Cartesian equation to the polar form r = sin(20).…

A: Given the algebraic equation, (x2+y2)3=4x2y2 ⋯⋯(1) (a) Take x2+y2=r2, x=rcosθ, and y=rsinθ Then…

Q: 3. Find parametric equations for the graph of a circle centered at (-3,1) and radius 3.

A: Let's find parametric equations for the graph.

Q: r= 4/ 2-2cos theta. identify the directrix and vertex

A:

Q: Write each pair of parametric equations in rectangular form. Then sketch the curve. 8) x= 4cos t+ 1,…

A:

Q: Find the roots of (5 +3i)1/2   in polar (r< θ) and rectangular forms using de Moivre’s theorem.

A:

Q: Obtain the parametric equations of: An epicycloid curve described by a point on the circumference of…

A:

Q: x = 12 + 3 y = 2t [-2, 2]

A: Substitute t value

Q: Convert each pair of rectangular coordinates to polar coordinates where r> 0 and 0 ≤ 0 < 2π.…

A: To convert each pair of rectangular coordinates to polar coordinates where r&gt;0.

Q: In an open space, Thomas throws a ball at an angle of 70° to the horizontal with an initial velocity…

A:

Q: 4. Eliminate the parameter and write the parametric equation in rectangular form x = 3 sece, y = 5…

A: