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anonymous
 5 years ago
Find the points on the given curve where the tangent line is horizontal or vertical.
r = 3cos(theta)
anonymous
 5 years ago
Find the points on the given curve where the tangent line is horizontal or vertical. r = 3cos(theta)

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Use y=rsin(theta) x=rcos(theta) Take dy/dx .. take it from here?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0well i actually have to do it but haha your not completely right atm lemme see

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0actually don't you use the polar curve formula of dy/dx = rcos(theta) + sin(theta) (dr/d(theta)) / rsin(theta)+cos(theta) (dr/d(theta))? then just set top = 0 or the bottom = 0?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0So when your dx=0 you have a vertical tangent line. Actually for this equations there are alot of points where it should be vertical and the horizontal points aren't quite as easy because you have to solve something like 3(cos^2(theta)sin^2(theta))=0

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0yep thats exactly what you do, the formula you typed is just the product rule for derivatives

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0alrighty. easy enough. thanks =)
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