Task 2: Analyze the graphs of the polar equations r = acos(ne) and r = asin(ne) when n is an even integer. a. What is the maximum value of r? b. Sketch the graphs whenn 2 c. Sketch the graphs whenn=4 tail wt the gn of

Q: Task 2: Analyze the graphs of the polar equations r= acos(ne) and r= asin(ne) when n is an even…

A: Solution: Part (a)     The maximum value of r is a.   Part (b) sketch the graph when n = 2

Q: 14. Polar coordinates. a. Write (x, y) = (-2,2) in polar form (r, 0).

A:

Q: 1. Rewrite the Cartesian equation y = 3x +2 as a polar equation. 2. Rewrite the Cartesian equation…

A:

Q: 5x Plot the point 1,T given in polar coordinates, and find other polar coordinates (r,0) of the…

A: Given the polar coordinates as 1,5π4 In polar coordinate axis it can be plotted as

Q: Sketch the curve with the given polar equation, r = cos(2Theta).

A: The given polar equation is: r=cos2θ. We have to sketch the curve.

Q: Write the given polar equation in cartesian form (in terms of x r – 1= cos 0 = Cos 2- y? – 1 = x²…

A:

Q: 6.) Use your calculator to make a graph of the polar function r (0)=2sin (0)-cos (30) on the grid…

A: Given function is:where angle (θ) lies between .Here we have to find various angles i.e.

Q: Consider each polar equation over the given interval. Classify the curve, determine if the graph is…

A: The graph of the curve r2=36 cos2θ , 0≤θ<2π

Q: (a) r= √e, ose ≤ 16 (b) r=o², 0≤o≤ 16x (c) r = cos(8/7) (d) r= 2 + 5 cos(0) (e) r = 3 + sin(20) (f)…

A:

Q: Consider the polar curves C₁ r = 2 cos 0 and C₂: r = 2 cos 30, and let R be the shaded region as…

A: Same point can be expressed in polar coordinates in various ways.

Q: b) Consider the polar equation r = 3 sin(30). i. Test the symmetries for the above polar equation.…

A: The given polar equation is r=3sinθ.