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# The graphs of the polar curves: r =4 r =3+2 cos are shown in the figure to the right: The curves ande 5T intersect at 0Let R be the shaded region that is inside the...

## Question

###### The graphs of the polar curves: r =4 r =3+2 cos are shown in the figure to the right: The curves ande 5T intersect at 0Let R be the shaded region that is inside the graph of r = 4 and also outside the graph of r = 3 + 2cos 0_ as shown in the figure above. Write an expression involving an integral for the area of R:(b) Find the slope of the line tangent to the graph of r = 3 + 2cos â‚¬ at 0 = 2(c)particle moves along the portion of the curve r = 3 + 2cos â‚¬ for 0 < 0 2 The particle moves in s

The graphs of the polar curves: r =4 r =3+2 cos are shown in the figure to the right: The curves ande 5T intersect at 0 Let R be the shaded region that is inside the graph of r = 4 and also outside the graph of r = 3 + 2cos 0_ as shown in the figure above. Write an expression involving an integral for the area of R: (b) Find the slope of the line tangent to the graph of r = 3 + 2cos â‚¬ at 0 = 2 (c) particle moves along the portion of the curve r = 3 + 2cos â‚¬ for 0 < 0 2 The particle moves in such a way that the distance between the particle and the origin increases at a constant rate of 3 units per second. Find the rate at which the angle 0 changes with respect to time at the instant when the position of the particle corresponds to 0 = Indicate units of measure.

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