Set up an integral for the length of the curve.y = 
, - 
? x ? 
A. 
B. 
C. 
D. 
Answer: C
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Graph the equation. Include the coordinates of any local extreme points and inflection points.y = 
A. absolute maximum: 
no inflection point
B. local minimum: (3, -1)
local maximum: (-3, 1)
inflection point: (0, 0)
C. local minimum: 
local maximum: 
inflection point: (0,0)
D. local minimum: (-3, -1)
local maximum: (3, 1)
inflection points: (0, 0), (-3
, -
),
(3
, 
)
Solve the problem by integration.Find the area bounded by y = csc 3 x cot x, x = 
, x = 
, and y = 0.
A. 6
B. 
C. 
D. 4
Identify the vertex and axis of symmetry of the parabola.x = -3(y - 4)2
A. Vertex: (4, 0); Axis of symmetry: x = 4 B. Vertex: (0, 4); Axis of symmetry: y = 4 C. Vertex: (0, -4); Axis of symmetry: y = -4 D. Vertex: (4, 0); Axis of symmetry: y = 0
Solve the problem.A solid of constant density is bounded below by the plane 
above by the cone 
and on the sides by the cylinder 
Find the center of mass.
A. (0, 0, 
)
B. (0, 0, 
)
C. (0, 0, 
)
D. (0, 0, 
)