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A curve with polar equation r=6/(5sinθ+41cosθ) represents a line. This line has a Cartesian equation of form y=mx+b,?

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A curve with polar equation r=6/(5sinθ+41cosθ) represents a line. This line has a Cartesian equation of form y=mx+b,?

asked Feb 7, 2015 in CALCULUS by anonymous

1 Answer

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Step 1:

The polar equation is .

Polar to Cartesian form:

The polar points image are related to Cartesian coordinates image then .

Consider .

Re-write the equation.

image

The above equation is in the form of slope-intercept of line equation image in Cartesian coordinates, where image and image.

Solutions:

image and image.

answered Feb 9, 2015 by Lucy Mentor

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