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AP CALCULUS BC 2007 SCORING GUIDELINES Question The Graphs Of The Polar Curves R 2 And The Figure Above. The Curves Intersect When 8-1 And

 AP CALCULUS BC 2007 SCORING GUIDELINES Question The Graphs Of The Polar Curves R 2 And The Figure Above. The Curves Intersect When 8-1 And ? :-3. (A) Let R Be The Region That Is Inside The Graph Of R 3 + 2 Cos Are Shown In R 2 And Also Inside The Graph Of R 3+2coso, As Shaded In The Figure Above. Find The Area Of R And The Vertical Line X- Find The Area Of R

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AP CALCULUS BC 2007 SCORING GUIDELINES Question 3 The graphs of the polar curves r 2 and r=3+2cos 8 are shown in the figure above. The curves intersect when = 2 and = 4 3 (a) Let R be the region that is inside the graph of r = 2 and also inside the graph of r=3+2cos 0, as shaded in the figure above. Find the area of R (b) A particle moving with nonzero velocity along the polar curve given by r=3+2cos has position (x(t), y(t)) at time 1, with when = 0. This particle moves along the curve so that Find the value of at 0= di 3 dr = = 0 dr di do and interpret your answer in terms of the motion of the particle. =) For the particle described in part (b), Let R be the shaded regi and the vertical line x = (a) Find the area of R (b) Write, but do not solid generated w (c) Write, but do ne gives the perim dy dt dy de Find the value of dy at dt = and interpret your answer in terms of the motion of the particle.

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