Quiz-10-Keys - Name Quiz 9 Due Wed Aug 6 Do problem 65 in...

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Name: _______________________________ Quiz 9 – Due Wed Aug 6 Do problem 65 in section 10.4 . You can start with the slope forr polar curve: cos sin sin cos dr r dy d dr dx r d θ θ θ θ θ θ + = + , but because you are looking for horizontal tangent (numerator = 0) and vertical tangent (denominator = 0), you can avoid having a “mess” by just considering the numerator and denominator separately. For horizontal tangent, you will be solving this equation: cos (1 2sin ) 0 θ θ = For vertical tangent, you will be solving this equation: (2sin 1)(sin 1) 0 θ θ + = I provided you the graph for your convenience. The graph clearly shows there i s an intersection at the pole . The other intersections are found by setting the 2 equations to be equal and solve:
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