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The equations x(t) = The equations x(t) = , y(t) = , -1 \le t \le 1 are the parametric equations of A) the whole circle centred at (0 , 0) and is of radius 1 unit B) the left half of the circle centred at (0 , 0) and is of radius 1 unit C) the bottom half of the circle centred at (0 , 0) and is of radius 1 unit D) the top half of the circle centred at (0 , 0) and is of radius 1 unit E) the right half of the circle centred at (0 , 0) and is of radius 1 unit , y(t) = The equations x(t) = , y(t) = , -1 \le t \le 1 are the parametric equations of A) the whole circle centred at (0 , 0) and is of radius 1 unit B) the left half of the circle centred at (0 , 0) and is of radius 1 unit C) the bottom half of the circle centred at (0 , 0) and is of radius 1 unit D) the top half of the circle centred at (0 , 0) and is of radius 1 unit E) the right half of the circle centred at (0 , 0) and is of radius 1 unit , -1 ≤\le t ≤\le 1 are the parametric equations of


A) the whole circle centred at (0 , 0) and is of radius 1 unit
B) the left half of the circle centred at (0 , 0) and is of radius 1 unit
C) the bottom half of the circle centred at (0 , 0) and is of radius 1 unit
D) the top half of the circle centred at (0 , 0) and is of radius 1 unit
E) the right half of the circle centred at (0 , 0) and is of radius 1 unit

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Find the equation of the parabola whose focus is (2, -1) and directrix is x + 2y -1 = 0.


A) 4x2 - 4xy + y2 -18x + 14y + 24 = 0
B) 5x2 - 4xy + y2 -18x + 14y + 24 = 0
C) x2 - 4xy + 4y2 -18x + 14y + 24 = 0
D) x2 - 4xy + 5y2 -18x + 14y + 24 = 0
E) 4x2 - 4xy + 4y2 -18x + 14y + 24 = 0

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Find the arc length x = 2 cos θ\theta + cos 2 θ\theta + 1, y = 2 sin θ\theta + sin 2 θ\theta , for 0 ≤\le θ\theta≤\le 2 π\pi .


A) 12 units
B) 14 units
C) 16 units
D) 18 units
E) 10 units

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If x = f( θ\theta ) cos( θ\theta ), y = f( θ\theta ) sin( θ\theta ) for θ\theta If x = f( \theta ) cos( \theta ), y = f( \theta ) sin( \theta ) for \theta [ , ] , are parametric equations of a plane curve C, then the equation of curve C in polar coordinates is r = f( \theta ), \theta 1ee7b17_3372_5854_ae82_d19d2ea0c252_TB9661_11 [ , ]. [ If x = f( \theta ) cos( \theta ), y = f( \theta ) sin( \theta ) for \theta [ , ] , are parametric equations of a plane curve C, then the equation of curve C in polar coordinates is r = f( \theta ), \theta 1ee7b17_3372_5854_ae82_d19d2ea0c252_TB9661_11 [ , ]. , If x = f( \theta ) cos( \theta ), y = f( \theta ) sin( \theta ) for \theta [ , ] , are parametric equations of a plane curve C, then the equation of curve C in polar coordinates is r = f( \theta ), \theta 1ee7b17_3372_5854_ae82_d19d2ea0c252_TB9661_11 [ , ]. ] , are parametric equations of a plane curve C, then the equation of curve C in polar coordinates is r = f( θ\theta ), θ\theta 1ee7b17_3372_5854_ae82_d19d2ea0c252_TB9661_11 [11ee7b18_881f_7ad5_ae82_ef6a0704a9e3_TB9661_11 , 11ee7b18_ef83_6016_ae82_a1fef198316c_TB9661_11].

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Find the area bounded by the polar curve r = sin(3 θ\theta ) .


A) Find the area bounded by the polar curve r = sin(3 \theta ) . A) square units B) square units C) square units D) square units E) square units square units
B) Find the area bounded by the polar curve r = sin(3 \theta ) . A) square units B) square units C) square units D) square units E) square units square units
C) Find the area bounded by the polar curve r = sin(3 \theta ) . A) square units B) square units C) square units D) square units E) square units square units
D) Find the area bounded by the polar curve r = sin(3 \theta ) . A) square units B) square units C) square units D) square units E) square units square units
E) Find the area bounded by the polar curve r = sin(3 \theta ) . A) square units B) square units C) square units D) square units E) square units square units

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Convert the point with Cartesian coordinates (-1, -1) to polar coordinates.


A) Convert the point with Cartesian coordinates (-1, -1) to polar coordinates. A) B) C) D) E)
B) Convert the point with Cartesian coordinates (-1, -1) to polar coordinates. A) B) C) D) E)
C) Convert the point with Cartesian coordinates (-1, -1) to polar coordinates. A) B) C) D) E)
D) Convert the point with Cartesian coordinates (-1, -1) to polar coordinates. A) B) C) D) E)
E) Convert the point with Cartesian coordinates (-1, -1) to polar coordinates. A) B) C) D) E)

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Find the arc length of r = Find the arc length of r = from \theta = 0 to \theta = . A) units B) units C) units D) units E) units Find the arc length of r = from \theta = 0 to \theta = . A) units B) units C) units D) units E) units from θ\theta = 0 to θ\theta = Find the arc length of r = from \theta = 0 to \theta = . A) units B) units C) units D) units E) units .


A) Find the arc length of r = from \theta = 0 to \theta = . A) units B) units C) units D) units E) units units
B) Find the arc length of r = from \theta = 0 to \theta = . A) units B) units C) units D) units E) units units
C) Find the arc length of r = from \theta = 0 to \theta = . A) units B) units C) units D) units E) units units
D) Find the arc length of r = from \theta = 0 to \theta = . A) units B) units C) units D) units E) units units
E) Find the arc length of r = from \theta = 0 to \theta = . A) units B) units C) units D) units E) units units

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Find the Cartesian equation of the straight line tangent to the plane curve given parametrically by Find the Cartesian equation of the straight line tangent to the plane curve given parametrically by at the point on the curve where t = -1. A) x + y = 0 B) 3x - y =0 C) y = 0 D) y = x E) y = -3x at the point on the curve where t = -1.


A) x + y = 0
B) 3x - y =0
C) y = 0
D) y = Find the Cartesian equation of the straight line tangent to the plane curve given parametrically by at the point on the curve where t = -1. A) x + y = 0 B) 3x - y =0 C) y = 0 D) y = x E) y = -3x x
E) y = -3x

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Find g(t) so that x = -1 + 3 cos(t) , y = g(t) , 0 ≤\le t ≤\le 2 π\pi provides a counterclockwise parametrization of the circle Find g(t) so that x = -1 + 3 cos(t) , y = g(t) , 0 \le t \le 2 \pi provides a counterclockwise parametrization of the circle + + 2x - 4y = 4. A) -2 + sin(t) B) 2 - 3 sin(t) C) 2 + 3 sin(t) D) 3 - 2 sin(t) E) 3 + 2 sin(t) + Find g(t) so that x = -1 + 3 cos(t) , y = g(t) , 0 \le t \le 2 \pi provides a counterclockwise parametrization of the circle + + 2x - 4y = 4. A) -2 + sin(t) B) 2 - 3 sin(t) C) 2 + 3 sin(t) D) 3 - 2 sin(t) E) 3 + 2 sin(t) + 2x - 4y = 4.


A) -2 + sin(t)
B) 2 - 3 sin(t)
C) 2 + 3 sin(t)
D) 3 - 2 sin(t)
E) 3 + 2 sin(t)

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The equation of a conic section in polar coordinates is given by r = The equation of a conic section in polar coordinates is given by r = .(i) Transform the equation of the conic section to rectangular coordinates (x , y).(ii) Identify the conic section. .(i) Transform the equation of the conic section to rectangular coordinates (x , y).(ii) Identify the conic section.

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Transform the polar equation r = 1 + 2 cos θ\theta to rectangular coordinates.


A) Transform the polar equation r = 1 + 2 cos \theta to rectangular coordinates. A) + = B) + = C) - = D) + = E) - = + Transform the polar equation r = 1 + 2 cos \theta to rectangular coordinates. A) + = B) + = C) - = D) + = E) - = = Transform the polar equation r = 1 + 2 cos \theta to rectangular coordinates. A) + = B) + = C) - = D) + = E) - =
B) Transform the polar equation r = 1 + 2 cos \theta to rectangular coordinates. A) + = B) + = C) - = D) + = E) - = + Transform the polar equation r = 1 + 2 cos \theta to rectangular coordinates. A) + = B) + = C) - = D) + = E) - = = Transform the polar equation r = 1 + 2 cos \theta to rectangular coordinates. A) + = B) + = C) - = D) + = E) - =
C) Transform the polar equation r = 1 + 2 cos \theta to rectangular coordinates. A) + = B) + = C) - = D) + = E) - = - Transform the polar equation r = 1 + 2 cos \theta to rectangular coordinates. A) + = B) + = C) - = D) + = E) - = = Transform the polar equation r = 1 + 2 cos \theta to rectangular coordinates. A) + = B) + = C) - = D) + = E) - =
D) Transform the polar equation r = 1 + 2 cos \theta to rectangular coordinates. A) + = B) + = C) - = D) + = E) - = + Transform the polar equation r = 1 + 2 cos \theta to rectangular coordinates. A) + = B) + = C) - = D) + = E) - = = Transform the polar equation r = 1 + 2 cos \theta to rectangular coordinates. A) + = B) + = C) - = D) + = E) - =
E) Transform the polar equation r = 1 + 2 cos \theta to rectangular coordinates. A) + = B) + = C) - = D) + = E) - = - Transform the polar equation r = 1 + 2 cos \theta to rectangular coordinates. A) + = B) + = C) - = D) + = E) - = = Transform the polar equation r = 1 + 2 cos \theta to rectangular coordinates. A) + = B) + = C) - = D) + = E) - =

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Find the area bounded by the smaller loop of the curve r = 1 + 2 sin( θ\theta ) .


A) 2 π\pi - Find the area bounded by the smaller loop of the curve r = 1 + 2 sin( \theta ) . A) 2 \pi - square units B) 2 \pi + square units C) \pi - square units D) \pi + square units E) - square units square units
B) 2 π\pi + Find the area bounded by the smaller loop of the curve r = 1 + 2 sin( \theta ) . A) 2 \pi - square units B) 2 \pi + square units C) \pi - square units D) \pi + square units E) - square units square units
C) π\pi - Find the area bounded by the smaller loop of the curve r = 1 + 2 sin( \theta ) . A) 2 \pi - square units B) 2 \pi + square units C) \pi - square units D) \pi + square units E) - square units square units
D) π\pi + Find the area bounded by the smaller loop of the curve r = 1 + 2 sin( \theta ) . A) 2 \pi - square units B) 2 \pi + square units C) \pi - square units D) \pi + square units E) - square units square units
E) Find the area bounded by the smaller loop of the curve r = 1 + 2 sin( \theta ) . A) 2 \pi - square units B) 2 \pi + square units C) \pi - square units D) \pi + square units E) - square units - Find the area bounded by the smaller loop of the curve r = 1 + 2 sin( \theta ) . A) 2 \pi - square units B) 2 \pi + square units C) \pi - square units D) \pi + square units E) - square units square units

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Sketch the polar curve r = 4 sin(3θ).

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A conic section is given by the equation 4x2 + 10xy + 4y2 = 36.Use rotation of coordinate axes through an appropriate acute angle θ\theta to find the new equation of the conic section in the uv-coordinate axes , where x = u cos( θ\theta ) - v sin( θ\theta ) , y = u sin( θ\theta ) + v cos( θ\theta ) . Then identify the conic section.


A) A conic section is given by the equation 4x<sup>2</sup> + 10xy + 4y<sup>2</sup> = 36.Use rotation of coordinate axes through an appropriate acute angle \theta to find the new equation of the conic section in the uv-coordinate axes , where x = u cos( \theta ) - v sin( \theta ) , y = u sin( \theta ) + v cos( \theta ) . Then identify the conic section. A) + = 1, an ellipse B) + = 4, a circle C) - = 1, a hyperbola D) + = 1, an ellipse E) - = 1, a hyperbola + A conic section is given by the equation 4x<sup>2</sup> + 10xy + 4y<sup>2</sup> = 36.Use rotation of coordinate axes through an appropriate acute angle \theta to find the new equation of the conic section in the uv-coordinate axes , where x = u cos( \theta ) - v sin( \theta ) , y = u sin( \theta ) + v cos( \theta ) . Then identify the conic section. A) + = 1, an ellipse B) + = 4, a circle C) - = 1, a hyperbola D) + = 1, an ellipse E) - = 1, a hyperbola = 1, an ellipse
B) A conic section is given by the equation 4x<sup>2</sup> + 10xy + 4y<sup>2</sup> = 36.Use rotation of coordinate axes through an appropriate acute angle \theta to find the new equation of the conic section in the uv-coordinate axes , where x = u cos( \theta ) - v sin( \theta ) , y = u sin( \theta ) + v cos( \theta ) . Then identify the conic section. A) + = 1, an ellipse B) + = 4, a circle C) - = 1, a hyperbola D) + = 1, an ellipse E) - = 1, a hyperbola + A conic section is given by the equation 4x<sup>2</sup> + 10xy + 4y<sup>2</sup> = 36.Use rotation of coordinate axes through an appropriate acute angle \theta to find the new equation of the conic section in the uv-coordinate axes , where x = u cos( \theta ) - v sin( \theta ) , y = u sin( \theta ) + v cos( \theta ) . Then identify the conic section. A) + = 1, an ellipse B) + = 4, a circle C) - = 1, a hyperbola D) + = 1, an ellipse E) - = 1, a hyperbola = 4, a circle
C) A conic section is given by the equation 4x<sup>2</sup> + 10xy + 4y<sup>2</sup> = 36.Use rotation of coordinate axes through an appropriate acute angle \theta to find the new equation of the conic section in the uv-coordinate axes , where x = u cos( \theta ) - v sin( \theta ) , y = u sin( \theta ) + v cos( \theta ) . Then identify the conic section. A) + = 1, an ellipse B) + = 4, a circle C) - = 1, a hyperbola D) + = 1, an ellipse E) - = 1, a hyperbola - A conic section is given by the equation 4x<sup>2</sup> + 10xy + 4y<sup>2</sup> = 36.Use rotation of coordinate axes through an appropriate acute angle \theta to find the new equation of the conic section in the uv-coordinate axes , where x = u cos( \theta ) - v sin( \theta ) , y = u sin( \theta ) + v cos( \theta ) . Then identify the conic section. A) + = 1, an ellipse B) + = 4, a circle C) - = 1, a hyperbola D) + = 1, an ellipse E) - = 1, a hyperbola = 1, a hyperbola
D) A conic section is given by the equation 4x<sup>2</sup> + 10xy + 4y<sup>2</sup> = 36.Use rotation of coordinate axes through an appropriate acute angle \theta to find the new equation of the conic section in the uv-coordinate axes , where x = u cos( \theta ) - v sin( \theta ) , y = u sin( \theta ) + v cos( \theta ) . Then identify the conic section. A) + = 1, an ellipse B) + = 4, a circle C) - = 1, a hyperbola D) + = 1, an ellipse E) - = 1, a hyperbola + A conic section is given by the equation 4x<sup>2</sup> + 10xy + 4y<sup>2</sup> = 36.Use rotation of coordinate axes through an appropriate acute angle \theta to find the new equation of the conic section in the uv-coordinate axes , where x = u cos( \theta ) - v sin( \theta ) , y = u sin( \theta ) + v cos( \theta ) . Then identify the conic section. A) + = 1, an ellipse B) + = 4, a circle C) - = 1, a hyperbola D) + = 1, an ellipse E) - = 1, a hyperbola = 1, an ellipse
E) A conic section is given by the equation 4x<sup>2</sup> + 10xy + 4y<sup>2</sup> = 36.Use rotation of coordinate axes through an appropriate acute angle \theta to find the new equation of the conic section in the uv-coordinate axes , where x = u cos( \theta ) - v sin( \theta ) , y = u sin( \theta ) + v cos( \theta ) . Then identify the conic section. A) + = 1, an ellipse B) + = 4, a circle C) - = 1, a hyperbola D) + = 1, an ellipse E) - = 1, a hyperbola - A conic section is given by the equation 4x<sup>2</sup> + 10xy + 4y<sup>2</sup> = 36.Use rotation of coordinate axes through an appropriate acute angle \theta to find the new equation of the conic section in the uv-coordinate axes , where x = u cos( \theta ) - v sin( \theta ) , y = u sin( \theta ) + v cos( \theta ) . Then identify the conic section. A) + = 1, an ellipse B) + = 4, a circle C) - = 1, a hyperbola D) + = 1, an ellipse E) - = 1, a hyperbola = 1, a hyperbola

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Express Express and in terms of x and y for the circle x = a cos \theta , y = a sin \theta . A) = - , = - B) = , = C) = - , = - D) = , = - E) = , = - and Express and in terms of x and y for the circle x = a cos \theta , y = a sin \theta . A) = - , = - B) = , = C) = - , = - D) = , = - E) = , = - in terms of x and y for the circle x = a cos θ\theta , y = a sin θ\theta .


A) Express and in terms of x and y for the circle x = a cos \theta , y = a sin \theta . A) = - , = - B) = , = C) = - , = - D) = , = - E) = , = - = - Express and in terms of x and y for the circle x = a cos \theta , y = a sin \theta . A) = - , = - B) = , = C) = - , = - D) = , = - E) = , = - , Express and in terms of x and y for the circle x = a cos \theta , y = a sin \theta . A) = - , = - B) = , = C) = - , = - D) = , = - E) = , = - = - Express and in terms of x and y for the circle x = a cos \theta , y = a sin \theta . A) = - , = - B) = , = C) = - , = - D) = , = - E) = , = -
B) Express and in terms of x and y for the circle x = a cos \theta , y = a sin \theta . A) = - , = - B) = , = C) = - , = - D) = , = - E) = , = - = Express and in terms of x and y for the circle x = a cos \theta , y = a sin \theta . A) = - , = - B) = , = C) = - , = - D) = , = - E) = , = - , Express and in terms of x and y for the circle x = a cos \theta , y = a sin \theta . A) = - , = - B) = , = C) = - , = - D) = , = - E) = , = - = Express and in terms of x and y for the circle x = a cos \theta , y = a sin \theta . A) = - , = - B) = , = C) = - , = - D) = , = - E) = , = -
C) Express and in terms of x and y for the circle x = a cos \theta , y = a sin \theta . A) = - , = - B) = , = C) = - , = - D) = , = - E) = , = - = - Express and in terms of x and y for the circle x = a cos \theta , y = a sin \theta . A) = - , = - B) = , = C) = - , = - D) = , = - E) = , = - , Express and in terms of x and y for the circle x = a cos \theta , y = a sin \theta . A) = - , = - B) = , = C) = - , = - D) = , = - E) = , = - = - Express and in terms of x and y for the circle x = a cos \theta , y = a sin \theta . A) = - , = - B) = , = C) = - , = - D) = , = - E) = , = -
D) Express and in terms of x and y for the circle x = a cos \theta , y = a sin \theta . A) = - , = - B) = , = C) = - , = - D) = , = - E) = , = - = Express and in terms of x and y for the circle x = a cos \theta , y = a sin \theta . A) = - , = - B) = , = C) = - , = - D) = , = - E) = , = - , Express and in terms of x and y for the circle x = a cos \theta , y = a sin \theta . A) = - , = - B) = , = C) = - , = - D) = , = - E) = , = - = - Express and in terms of x and y for the circle x = a cos \theta , y = a sin \theta . A) = - , = - B) = , = C) = - , = - D) = , = - E) = , = -
E) Express and in terms of x and y for the circle x = a cos \theta , y = a sin \theta . A) = - , = - B) = , = C) = - , = - D) = , = - E) = , = - = Express and in terms of x and y for the circle x = a cos \theta , y = a sin \theta . A) = - , = - B) = , = C) = - , = - D) = , = - E) = , = - , Express and in terms of x and y for the circle x = a cos \theta , y = a sin \theta . A) = - , = - B) = , = C) = - , = - D) = , = - E) = , = - = - Express and in terms of x and y for the circle x = a cos \theta , y = a sin \theta . A) = - , = - B) = , = C) = - , = - D) = , = - E) = , = -

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For the parabola For the parabola + 6x + 4y + 5 = 0, find the vertex, the focus, and the directrix. A) Vertex (3, 1) , Focus (3, 2) , Directrix y = 0 B) Vertex (3, 1) , Focus (3, 0) , Directrix y = 2 C) Vertex (-3, 1) , Focus (-3, 2) , Directrix y = 0 D) Vertex (-3, 1) , Focus (-3, 0) , Directrix y = 2 E) Vertex (-3, -1) , Focus (-3, 0) , Directrix y = 2 + 6x + 4y + 5 = 0, find the vertex, the focus, and the directrix.


A) Vertex (3, 1) , Focus (3, 2) , Directrix y = 0
B) Vertex (3, 1) , Focus (3, 0) , Directrix y = 2
C) Vertex (-3, 1) , Focus (-3, 2) , Directrix y = 0
D) Vertex (-3, 1) , Focus (-3, 0) , Directrix y = 2
E) Vertex (-3, -1) , Focus (-3, 0) , Directrix y = 2

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Determine the coordinates of the points where the curve x = Determine the coordinates of the points where the curve x = + 2t, y = 2 + 7 has (a) a horizontal tangent and (b) a vertical tangent. A) (a) (0, -9) (b) (±2, -6) B) (a) (-2, -9) (b) (-2, -6) C) (a) (2, -9) (b) (2, -6) D) (a) (0, -9) (b) (2, 6) E) (a) (2, 9) (b) (2, 6) + 2t, y = 2 Determine the coordinates of the points where the curve x = + 2t, y = 2 + 7 has (a) a horizontal tangent and (b) a vertical tangent. A) (a) (0, -9) (b) (±2, -6) B) (a) (-2, -9) (b) (-2, -6) C) (a) (2, -9) (b) (2, -6) D) (a) (0, -9) (b) (2, 6) E) (a) (2, 9) (b) (2, 6) + 7 has (a) a horizontal tangent and (b) a vertical tangent.


A) (a) (0, -9) (b) (±2, -6)
B) (a) (-2, -9) (b) (-2, -6)
C) (a) (2, -9) (b) (2, -6)
D) (a) (0, -9) (b) (2, 6)
E) (a) (2, 9) (b) (2, 6)

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Find an equation of a parabola satisfying the given conditions: Focus (2, 0) and directrix y = 2?.


A) Find an equation of a parabola satisfying the given conditions: Focus (2, 0) and directrix y = 2?. A) = 4 \pi (1 - y) B) = 4( \pi - y) C) = 4 \pi ( \pi - y) D) = 4 \pi ( \pi - y) E) = 4 \pi ( \pi - y) = 4 π\pi (1 - y)
B) Find an equation of a parabola satisfying the given conditions: Focus (2, 0) and directrix y = 2?. A) = 4 \pi (1 - y) B) = 4( \pi - y) C) = 4 \pi ( \pi - y) D) = 4 \pi ( \pi - y) E) = 4 \pi ( \pi - y) = 4( π\pi - y)
C) Find an equation of a parabola satisfying the given conditions: Focus (2, 0) and directrix y = 2?. A) = 4 \pi (1 - y) B) = 4( \pi - y) C) = 4 \pi ( \pi - y) D) = 4 \pi ( \pi - y) E) = 4 \pi ( \pi - y) = 4 π\pi ( π\pi - y)
D) Find an equation of a parabola satisfying the given conditions: Focus (2, 0) and directrix y = 2?. A) = 4 \pi (1 - y) B) = 4( \pi - y) C) = 4 \pi ( \pi - y) D) = 4 \pi ( \pi - y) E) = 4 \pi ( \pi - y) = 4 π\pi ( π\pi - y)
E) Find an equation of a parabola satisfying the given conditions: Focus (2, 0) and directrix y = 2?. A) = 4 \pi (1 - y) B) = 4( \pi - y) C) = 4 \pi ( \pi - y) D) = 4 \pi ( \pi - y) E) = 4 \pi ( \pi - y) = 4 π\pi ( π\pi - y)

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What are the polar coordinates of the highest point on the cardioid r = 2(1 + cos θ\theta ) ?


A) What are the polar coordinates of the highest point on the cardioid r = 2(1 + cos \theta ) ? A) B) C) D) (4, 0) E)
B) What are the polar coordinates of the highest point on the cardioid r = 2(1 + cos \theta ) ? A) B) C) D) (4, 0) E)
C) What are the polar coordinates of the highest point on the cardioid r = 2(1 + cos \theta ) ? A) B) C) D) (4, 0) E)
D) (4, 0)
E) What are the polar coordinates of the highest point on the cardioid r = 2(1 + cos \theta ) ? A) B) C) D) (4, 0) E)

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Find the length of r = Find the length of r = from \theta = 0 to \theta = 2 \pi . A) ( - 1) units B) ( - 1) units C) ( - 1) units D) 2 ( - 1) units E) ( + 1) units from θ\theta = 0 to θ\theta = 2 π\pi .


A) Find the length of r = from \theta = 0 to \theta = 2 \pi . A) ( - 1) units B) ( - 1) units C) ( - 1) units D) 2 ( - 1) units E) ( + 1) units ( Find the length of r = from \theta = 0 to \theta = 2 \pi . A) ( - 1) units B) ( - 1) units C) ( - 1) units D) 2 ( - 1) units E) ( + 1) units - 1) units
B) Find the length of r = from \theta = 0 to \theta = 2 \pi . A) ( - 1) units B) ( - 1) units C) ( - 1) units D) 2 ( - 1) units E) ( + 1) units ( Find the length of r = from \theta = 0 to \theta = 2 \pi . A) ( - 1) units B) ( - 1) units C) ( - 1) units D) 2 ( - 1) units E) ( + 1) units - 1) units
C) Find the length of r = from \theta = 0 to \theta = 2 \pi . A) ( - 1) units B) ( - 1) units C) ( - 1) units D) 2 ( - 1) units E) ( + 1) units ( Find the length of r = from \theta = 0 to \theta = 2 \pi . A) ( - 1) units B) ( - 1) units C) ( - 1) units D) 2 ( - 1) units E) ( + 1) units - 1) units
D) 2 Find the length of r = from \theta = 0 to \theta = 2 \pi . A) ( - 1) units B) ( - 1) units C) ( - 1) units D) 2 ( - 1) units E) ( + 1) units ( Find the length of r = from \theta = 0 to \theta = 2 \pi . A) ( - 1) units B) ( - 1) units C) ( - 1) units D) 2 ( - 1) units E) ( + 1) units - 1) units
E) Find the length of r = from \theta = 0 to \theta = 2 \pi . A) ( - 1) units B) ( - 1) units C) ( - 1) units D) 2 ( - 1) units E) ( + 1) units ( Find the length of r = from \theta = 0 to \theta = 2 \pi . A) ( - 1) units B) ( - 1) units C) ( - 1) units D) 2 ( - 1) units E) ( + 1) units + 1) units

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