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anon

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true or false the value of theta represents the distance from a point to the pole when plotting a point in polar coordinates?

False


True or False; The value r represents the reference angle when plotting a point in polar coordinates?

False


What are 2 polar coordinates for the point 2 0?

The point whose Cartesian coordinates are (2, 0) has the polar coordinates R = 2, Θ = 0 .


What are 2 polar coordinates for the point -3 -3?

The point whose Cartesian coordinates are (-3, -3) has the polar coordinates R = 3 sqrt(2), Θ = -0.75pi.


How do you convert polar to rectangular coordinates?

If the polar coordinates of a point P are (r,a) then the rectangular coordinates of P are x = rcos(a) and y = rsin(a).


In mathematics in polar coordinates what is the polar coordinates for the point pp on a line makes an angle with the initial line?

the radius vector; and the vectorial angle the radius vector; and the vectorial angle


True or false: When its argument is restricted to (0,2pi), the polar form of a complex number is not unique?

False apex


Do rectangular coordinates have the same property as polar coordinates?

Some of them but not all. For example, uniqueness. The rectangular coordinates (x, y) represent a different point if either x or y is changed. This is also true for polar coordinate (r, a) but only if r > 0. For r = 0 the coordinates represent the same point, whatever a is. Thus (x, y) has a 1-to-1 mapping onto the plane but the polar coordinates don't.


What is the relationship between the curl of a vector field and its representation in polar coordinates?

In polar coordinates, the curl of a vector field represents how much the field is rotating around a point. The relationship between the curl and the representation in polar coordinates is that the curl can be calculated using the polar coordinate system to determine the rotational behavior of the vector field.


What is the curl of polar coordinates?

The curl of polar coordinates is a mathematical operation that measures the rotation or circulation of a vector field around a point in the polar coordinate system. It helps to understand the flow and behavior of the vector field in a two-dimensional space.


True or False: One advantage of polar equations is that you can use a polar function to describe a graph whose equation in rectangular coordinates would not be considered a function?

True


What are absolute relative and polar coordinates?

absolute relative and polar coordinates definition