Reference no: EM131022144
On the graph below, do the following:
1. Plot the polar coordinates (2, π), (3,7π/4) and (-5,3π/2) below.
2. Sketch the region in the plane that represents r <4; π ≤ θ ≤ 2π on the grid below.
3. Sketch the curve for r2 = cos 4θ. On the grid below.
4. Find the Cartesian formula for r = tan θ sec θ
5, sketch r2 = sin 2θ and find the area it encloses.
6. Find the area of the region inside r = 1- sine θ and outside r = 1. Also sketch the curves.
7. Find the vertices, foci, and asymptotes of the hyperbola 2y2- 3x2 - 4y +128 + 8 = 0; also sketch the graph.
8. Find the equation of an ellipse with foci (±1,2) and major axis 6.
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