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12. [2/5 Points] DETAILS PREVIOUS ANSWERS LARHSCALC1 9.AP.012. MY NOTES ASK YOUR TEACHER Consider the graph of the polar curve r = 1 - 2 sin(0) for 0 S 0 S 27, as shown in the figure. 2 3x (a) Set up, but do not evaluate, an integral to find the area of the region in the first quadrant bounded by the curve and the x-axis. 2 (1 - 2 sin (@ ) ) 2 de (b) A particle is traveling along the polar curve r so that its position at time t is (x(t), y(t)). Write expressions for dx/dt and dy/dt in terms of 0. dx dt sin(0) - 2 cos- (0) + 2 sin?(0) X dy dt (c) Write an equation in terms of x and y of the tangent line to the graph of the polar curve r at the point where 0 = T. y = Need Help? Read It