Please help on these essay questions!!!
1) part a: polar coordinates, work shown part b: polar form of equation. part c: directed distance
A curve, described by x2 + y2 + 6y = 0, has a point A at (−3, −3) on the curve.
Part A: What are the polar coordinates of A? Give an exact answer.
Part B: What is the polar form of the equation? What type of polar curve is this?
Part C: What is the directed distance when theta equals 4 pi over 3 question mark Give an exact answer. questions!
2) part a: identifying polar curve edvidance supporting why, Part b; symmety of curve, Part c: 2 differences between graphs and edvidance supporting why
A polar curve is represented by the equation r1 = 3 + 3sin θ.
Part A: What type of limaçon is this curve? Justify your answer using the constants in the equation.
Part B: Is the curve symmetrical to the polar axis or the line theta equals pi over 2 question mark Justify your answer algebraically.
Part C: What are the two main differences between the graphs of r1 = 3 + 3sin θ and r2 = 8 + 3cos θ?
3)Part A; standard form and distance Part B: complex conjugate Part c: Z2-Z1
Points z1 and z2 are shown on the graph.
complex plane, point z sub 1 at 3 to the right of the origin and 5 units up, point z sub 2 at 6 units to the right of the origin and 3 units down
Part A: Identify the points in standard form and find the distance between them.
Part B: Give the complex conjugate of z2 and explain how to find it geometrically.
Part C: Find z2 − z1 geometrically and explain your steps.
4)Part A:indentify polar curve Part B:symmetry of curve Part c: 2 differences between graphs and edvandice supporting why
A baseball is hit, following a path represented by x = 140t and y = 3.1 + 40t − 16t 2 for 0 ≤ t ≤ 3.
Part A: Find the ordered pairs, (x, y), when t = 0.2, 1.2, and 2.4.
Part B: The fence, which is 10 feet tall, lies 320 feet away from home plate. Does the baseball travel over the fence? Justify your answer mathematically.
Part C: Write a rectangular equation to represent the plane curve.
