The figure shows the graph of the polar function 𝑟=𝑓⁡(𝜃), where 𝑓⁡(𝜃)=4⁢cos⁡(2⁢𝜃), in the polar coordinate system for 0≤𝜃≤2⁢𝜋. There are five points labeled 𝐴, 𝐵, 𝐶, 𝐷, and 𝐸. If the domain of 𝑓 is restricted to  0≤𝜃≤𝜋2, the portion of the given graph that remains consists of two pieces. One of those pieces is the portion of the graph in Quadrant I from 𝐶 to 𝐸. Which of the following describes the other remaining piece?

A graph in polar coordinates is of the form: r = -2 cos⁡θ - 4 sin⁡θ. Identify the graph of this function. Hint: Multiply both sides by r and then convert to Cartesian form.  a. Circle b. Ellipse c. Hyperbola  d. Line e. Parabola

Consider the graph of the polar function 𝑟=𝑓⁡(𝜃), where 𝑓⁡(𝜃)=1+2⁢sin⁡𝜃, in the polar coordinate system for 0≤𝜃≤2⁢𝜋. Which of the following statements is true about the distance between the point with polar coordinates (𝑓⁡(𝜃),𝜃) and the origin?Responses​The distance is increasing for  0≤𝜃≤𝜋2, because 𝑓⁡(𝜃) is positive and increasing on the interval.​The distance is increasing for  0 less or equal than theta less or equal than pi over 2 , because  f open parentheses theta close parentheses  is positive and increasing on the interval.​The distance is increasing for  3⁢𝜋2≤𝜃≤11⁢𝜋6, because 𝑓⁡(𝜃) is negative and increasing on the interval.​The distance is increasing for  fraction numerator 3 pi over denominator 2 end fraction less or equal than theta less or equal than fraction numerator 11 pi over denominator 6 end fraction , because  f open parentheses theta close parentheses  is negative and increasing on the interval.​The distance is decreasing for  0≤𝜃≤𝜋2, because 𝑓⁡(𝜃) is positive and decreasing on the interval.​The distance is decreasing for  0 less or equal than theta less or equal than pi over 2 , because  f open parentheses theta close parentheses  is positive and decreasing on the interval.​The distance is decreasing for  3⁢𝜋2≤𝜃≤11⁢𝜋6, because 𝑓⁡(𝜃) is negative and decreasing on the interval.

The polar function r = f(q ) , where f(q ) = 1 + 2 cos q , is graphed in the polar coordinate system for0 On which of the following intervals of q is the distance between the point with polarcoordinates ( f (q ),q ) and the origin decreasing?(A) (0, 2.094 ) only(B) (2.094, 4.189 )(C) ((D) (

The graph shows the four quadrants of the coordinate plane.      An XY coordinate plane divided into four quadrants. The x axis runs from left to right. The y axis runs up and down. Quadrant 1 is the top right quadrant. Quadrant 2 is the top left quadrant. Quadrant 3 is the bottom left quadrant. Quadrant 4 is the bottom right quadrant.Where is   located on the coordinate plane?Choose 1 answer:Choose 1 answer:(Choice A)   Quadrant  AQuadrant  (Choice B)   Quadrant  BQuadrant  (Choice C)   Quadrant  CQuadrant  (Choice D)   Quadrant  DQuadrant  (Choice E)    -axisE -axis(Choice F, Checked)    -axisF -axis

What is the domain of the relation shown in the graph?