How do you graph equations in polar coordinates? Include in your discussion symmetry, slope, behavior at the origin, and the use of Cartesian graphs. Give examples.

Q: The point (4,-4) is in rectangular coordinates. Plot this point and find TWO sets of polar…

A: Co-ordinate system: (x,y)=(4,-4) r=x2+y2tanθ=yx

Q: Convert the point (1.1, -2T/3) from Polar to Cartesian coordinates. What is the x-coordinate?…

A:

Q: The polar coordinates of a point are 8, Find the rectangular coordinates of this point.

A:

Q: Convert polar equation r = 5 cscθ to a rectangular equation. Then use your knowledge of the…

A: It is known that rsinθ=y   and  rcosθ=x. The given polar equation is r=5 cscθ. Rewrite the above…

Q: The rectangular coordinates of a point are given. Find polar coordinates of the point. Express 0 in…

A: Given (x,y) = (-⟌3 , -1) Then r= ⟌(x2+y2)              =⟌(3+1)              r=2    a= π+…

Q: The polar coordinates of a point are given. Plot the point. (2, x/2) y

A: Given,           The polar coordinates of a point is 2,π2.To find : The corresponding rectangular…

Q: Sketch the graph of the polar equation r = 2 – 3 sin 0 Upload Choose a File

A:

Q: How do you plot the point whose polar coordinates are (3, 45 degree )?

A: r, θ=3, 45°⇒r=3  &  θ=45° Now polar equations are x=rcosθ  &  y=rsinθ⇒x=3cos45°  &…

Q: Convert the point (-12,-5) into a polar coordinate.

A:

Q: Convert the polar equation to a rectangular equation. Begin by multiplying both sides of the…

A:

Q: What are polar coordinates? What equations relate polar coordi-nates to Cartesian coordinates? Why…

A: Consider an origin as O and an initial ray from the origin. The positive x-axis is usually…

Q: Test the polar equation for symmetry with respect to the polar axis, the pole, and the line delta=…

A: Tests for symmetry: 1) Replace θ with -θ. If an equivalent equation results, the graph is symmetric…

Q: The rectangular coordinates of a point are given. Find polar coordinates of the point. Express 0 in…

A: Let the polar coordinates of given point are ( rcos(thita), rsin(thita)) as shown on board.By…

Q: polar equations represents a cardiod or heart-shaped

A:

Q: Plot the point that has the given polar coordinates. (-2, - ) 4

A: If the angle is measured in counterclockwise direction then it is treated as positive and if it is…

Q: Qi: Use all the steps of drawing a curve with polar coordinates to draw the shape of the equation r=…

A: We have to find the property of the given polar equation first.

Q: For each rectangular equation, give the equivalent polar equation and sketch its graph. Finding…

A: To find the equivalent polar equation of below rectangular equation of line.

Q: What equations relate polar coordinates to Cartesian coordinates?

A: We have to write the equation which relate the polar coordinates to the Cartesian coordinates. We…

Q: The polar coordinates of a point are given. Plot the point. (6, z/2)

A: The polar coordinates of a point are given. we have to plot the point. 6,π2 we know that converting…

Q: EXAMPLE 6 Rectangular Equation to Polar Eq Find a polar equation that has the same graph

A: We will use

Q: What equations would you use to find the polar coordinates of a point if you knew the Cartesian…

A: We know that, in polar coordinates system

Q: a) If you are looking at an example equation, how do you know the equation in polar form or…

A: The relation between polar coordinates and rectangular coordinates are, x=rcosθy=rsinθ

Q: Explain how to convert a point from polar to rectangular coordinates. Provide an example with your…

A: Consider A is any point and let the coordinates of point A in the polar form are Ar, θ and its…

Q: What equations relate polar coordinates to Cartesian coordinates? Why might you want to change from…

A: Equations relate polar coordinates to Cartesian coordinates are, x=rcosθ & y=rsinθ

Q: The rectangular coordinates of a point are given. Find polar coordinates for the point. (5,-5)

A:

Q: Plot the point given in polar coordinates. (-3,-) Select the graph that represents the point -3, - O…

A: The graph is shown below:

Q: 1. 2. 3. 3 5. 4.

A:

Q: Q/ Discuss the relationship of between the polar and Cartesian coordinates with an example to…

A: Polar coordinates are denoted by (r,θ). Cartesian coordinates are denoted by (x,y). Relation between…

Q: graph of the polar equation.

A: Given: r=31- sinθ To sketch: The graph of the polar equation.

Q: Of a circle of radius "a" whose center is point (1,-1).Write the equation in Polar Coordinates.…

A:

Q: Find the equations of the two graphs in polar forms. I know how to use the demos, so please explain…

A: Given - The two graphs :   To find - Find the equations of the two graphs in polar forms.

Q: Consider the point (5, -6) in rectangular coordinates. What is the radius in polar coordinates? (2…

A: Consider the given point 5,-6

Q: Convert the polar equation r cos θ = -1 to a rectangular equation. Then use your knowledge of the…

A: Polar to rectangular:  Polar equation r cos θ = -1  Here we know, x=r cos θy=r sin θTherefore, the…

Q: Find all polar coordinates of the origin.

A: We know that when we convert cartesian coordinates into polar coordinates, then we use the relation

Q: Use a graphing utility to find the rectangular coordinates of the point given in polar coordinates.…

A: To find the rectangular coordinates given polar coordinates

Q: Convert the polar equation r = 3 to a rectangular equation. Then use your knowledge of the…

A: Given r=3 To graph  the polar equation in a polar coordinate system.

Q: Consider the point (4, 1) in polar coordinates. What is the sum of its rectangular coordinates? (two…

A:

Q: Use a graphing utility to find the rectangular coordinates of the point given in polar coordinates.…

A: Given : rectangular coordinate ( -4 , 5.66 ) Now we find Polar coordinates

Q: Convert the polar equation r = 5 csc θ to a rectangular equation. Then use your knowledge of the…

A: Consider the given: r=5cscθr=5sinθrsinθ=5  ⋯⋯1In rectangular cordinates:x=rcosθy=rsinθ   ⋯⋯2On…

Q: Using the strategy of curve drawing, sketch the graph of polar curve whose equation is r= Vo.

A:

Q: Plot the point given in polar coordinates. (-2,0) Choose the correct graph below.

A: Given - (-2,0) Objective - plot the given point

Q: Find the rectangular coordinates for the point whose polar coordinates are given. (vž. - ) (x, y) =…

A: To find out the rectangular coordinates.

Q: Use a graphing utility to find the rectangular coordinates of the point given in polar coordinates.…

A: