How do you find the area of the common interior of #r=3-2sintheta, r=-3+2sintheta#?
The second graph is not real. An attempt to make it, using the Socratic graphics utility ought to fail. Read explanation.
This is not possible, from the second equation.
Of course, the first gives the limacon in the inserted graph.
graph{x^2+y^2-3sqrt(x^2+y^2)+2y=0 [-12, 12, -6, 6]}
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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.
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.
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.
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.
- What is the equation of the tangent line of #r=theta-3sin(theta+(5pi)/3) # at #theta=(2pi)/3#?
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- What is the arclength of the polar curve #f(theta) = 2cos(9theta)-3sintheta # over #theta in [0,pi/3] #?
- What is the slope of the tangent line of #r=theta^3-thetacos(theta-(pi)/3)# at #theta=(-5pi)/3#?

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