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How do you convert #y= -x^2+3xy-4 # into a polar equation?

Answer 1

Charles Autterson

#r^2costheta(3sintheta-1) +rsintheta+4=0#

Substitute:

#x=rcostheta# #y=rsintheta#

#rsintheta = -r^2costheta +3r^2sinthetacostheta-4#

or:

#r^2costheta(3sintheta-1) +rsintheta+4=0#

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Answer 2

Nolan Alexander

To convert the Cartesian equation ( y = -x^2 + 3xy - 4 ) into a polar equation, substitute ( x = r\cos(\theta) ) and ( y = r\sin(\theta) ), where ( r ) represents the radius and ( \theta ) represents the angle.

Then, substitute these expressions into the Cartesian equation and simplify to obtain the polar equation.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.