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OpenStudy (rmrjr22):
Find slope of r^2=16Cos2(theta) with points (0,Pi/4) and (0,- pi/4). How to?
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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?
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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...
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OpenStudy (rmrjr22):
Answer is 1... not sure how though
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