10. Graph by picking a few polar points. a) r = 2 - 2 cose and b) graph r = .3sine (calculator is for calculation only)
graph by picking a few polar points. a) r= 2-2 cost and b.) graph r= 3 sin e c.) covert both equation in ca) and b) Ho rectangular equations
7) The graph of r = Sin 2θ is given in both rectangular and polar coordinates. Identify the points in (B) corresponding to the points A-I in (A), with corresponding intervals.8) Describe the graph of: r = a Cos θ + b Sin θ 9) Write the equation, in polar coordinate, of a line with (2, π/9) 5 the closest point to the origin.
plz show work step by step.
2 1. Convert the polar equation to rectangular equation r=- 1-cose State the graph of the rectangular equation. (Do Not Graph!)
A Cartesian and a polar graph of r=2- 6 cos (30) are given. Identify the points on the polar graph that correspond to the points shown on the Cartesian graph. 10- g Which point on the polar graph corresponds to point A on the Cartesian graph? point Which point on the polar graph corresponds to point B on the Cartesian graph? point Which point on the polar graph corresponds to point C on the Cartesian graph? point
. Write each polar equation in rectangular coordinates and graph. a. r= 2 cos e b. r = - uri
3. (18 points) Consider the polar equation r = 2 + 2 cos(0). Describe the graph of this equation. What is it's axis of symmetry? How would you change the equations to make this a limaçon with an inner loop?
2, (20 pts) Consider the polar curve r-2 + cos48 for 0 θ 2n (a) Graph this curve and determine the points farthest from the origin. What values of 8 give these points? (b) Determine the points closest to the origin, what values of θ give these points? (c) Find the area bounded by this polar curve. (d) Find the length of this polar curve.
2, (20 pts) Consider the polar curve r-2 + cos48 for 0 θ 2n (a)...
Sketch the graph of r = 2 by finding the set of points whose polar coordinates have r = 2 (along with any 8). Check by finding a Cartesian formula for this shape (hint; in the notes we have a formula for p in terms of ar and y) Sketch the graph of 0 = by finding the set of points whose polar coordinates have 8 = 4 along with any r. Check by finding a Cartesian formula for this...
13) Sketch the graph of the polar equation r = 2. Label two points.