Evaluate the improper integral whenever it is convergent. If it is divergent, state this. 
Enter your answer as just a reduced fraction or the word "divergent".
Fill in the blank(s) with the appropriate word(s).
"divergent"
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Identify the vertex and axis of symmetry of the parabola.x = 5y2 + 2
A. Vertex: (2, 0); Axis of symmetry: x = 2 B. Vertex: (0, 2); Axis of symmetry: y = 0 C. Vertex: (2, 0); Axis of symmetry: y = 0 D. Vertex: (0, 2); Axis of symmetry: y = 2
Identify the type of surface represented by the given equation. y2 + z2 = 10
A.
| Paraboloid |
B.
| Cylinder |
C.
| Ellipsoid |
D.
| Parabolic cylinder |
Graph the quadratic function using its vertex, axis of symmetry, and intercepts.f(x) = x2 + 8x + 7
A. vertex (-4, 9)
intercepts (-1, 0), (- 7, 0), (0, -7)
B. vertex (4, 9)
intercepts (1, 0), (7, 0), (0, -7)
C. vertex (-4, -9)
intercepts (-1, 0), (- 7, 0), (0, 7)
D. vertex (4, -9)
intercepts (1, 0), (7, 0), (0, 7)
Use Descartes' Rule of Signs to determine the possible number of positive real zeros and the possible number of negative real zeros for the function.f(x) = -6x4 - 8x3 - 7x2 - 8x + 3
A. 
B. 
C. 
D. 