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

• Test Prep
• hain2005
• 1

This preview shows page 1 out of 1 page.

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:

{[ snackBarMessage ]}

###### "Before using Course Hero my grade was at 78%. By the end of the semester my grade was at 90%. I could not have done it without all the class material I found."
— Christopher R., University of Rhode Island '15, Course Hero Intern

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern