Ask your own question, for FREE!
Mathematics 20 Online
OpenStudy (rmrjr22):

Find slope of r^2=16Cos2(theta) with points (0,Pi/4) and (0,- pi/4). How to?

OpenStudy (dan815):

hey

OpenStudy (abb0t):

To find the slope, take the derivative and plug in the given values

OpenStudy (abb0t):

[HINT: you will be using \(chain ~rule\) here]

OpenStudy (rmrjr22):

dy/dx = f'(theta)sin(theta) + f(theta)Cos(theta) ------------------------------- f'(theta)cos(theta) - f(theta)Sin(theta)

OpenStudy (abb0t):

Wait, what?

OpenStudy (rmrjr22):

thats the equation of slope

OpenStudy (rmrjr22):

Anyone?

OpenStudy (rmrjr22):

so in other words I end up with (sin2(T)(sin(T) + 16Cos(T)(Cos(T)) ---------------------------- Sin2(T)(Cos(T)) - 16Cos(T)(Sin(T)

OpenStudy (rmrjr22):

but since its r^2, it could be all that (equation above) in a square root

OpenStudy (rmrjr22):

@jim_thompson5910 Sorry if your busy...

OpenStudy (rmrjr22):

Answer is 1... not sure how though

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!