Explain why the vertical-line test used to identify functions in rectangular coordinates does not work for equations expressed in polar coordinates.

Q: Use an equation in polar coordinates to describe the set of points 4 units from the pole

A: Use an equation in polar coordinates to describe the set of points 4 units from the pole

Q: Plot the point having the polar coordinates ​(2​,30°​). Then find different polar coordinates…

A: (a) r<0, 0°≤θ<360° Given (r, θ)=(2, 30°) Coordinates will be x=r cosθ, y=r sinθ ⇒x=-2cos30°,…

Q: Give two pairs of polar coordinates for the point (-2,-2\sqrt(3)) , where 0\deg <=\theta <=360\deg .

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Q: Eliminate the parameter t from the parametric equations x = 3 + sin t and y = cos t − 2. Graph the…

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Q: Do a complete analysis to determine the points of intersection of the polar curves r = 4 sin 0 and…

A: We need to find the points of intersection. So,              4sinθ=1+2sinθ⇒sinθ=12⇒θ=π6+2πn,…

Q: Why would we want to use polar coordinates instead of rectangular coordinates? Give an example of…

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Q: Ship X left the harbor at a speed of 25 n.m/hr Northeast while Ship Y is already in the ocean at…

A: We will draw diagram and then use co ordinate and trigonometry tp find required values

Q: Find the rectangular coordinates ( x y, ) of the point in polar form given by ( -3, -3pi )

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Q: Convert the equation y = x^-2 into a polar equation.   I'm getting confused on the inverse…

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Q: How do I convert this equation into polar coordinates? x dot=-y+x(1-x2-y2) y dot=x+y(1-x2-y2)

A: We have to Convert rectangular coordinates to Polar Coordinates.