Find the coordinates of the vertex and the direction of opening of each parabola.y = (x + 2)2 + 7
A. (7, -4) opens downward
B. (-2, 7) opens upward
C. (-7, 2) opens upward
D. (7, -2) opens downward
Answer: B
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Use the Comparison Test to determine whether the improper integral converges or diverges.
A. converges B. diverges
Find the gradient field F of the function f.f(x, y, z) = x4e5x + y5z5
A. F = (4 + 5x)x3e5xi + 5y4z5j + 5y5z4k B. F = (4 + 5x)x3e5xi + 5y4j + 5z4k C. F = (1 + x)x3e5xi + y4z5j + y5z4k D. F = (4 + 5x)x3e5xi + (x4e5x + 5y4z5)j + (x4e5x + 5y5z4)k
Find the volume of the solid generated by revolving the region about the given line.The region in the first quadrant bounded above by the line 2x + y = 4, below by the x-axis, and on the left by the y-axis, about the line x = -2
A. 
?
B. 
?
C. 
?
D. 
?
Multiply.(0.7x + 0.5)2
A. 0.49x2 - 0.70x - 0.25 B. 0.49x2 + 0.70x + 0.25 C. 0.49x2 + 0.25 D. 0.49x2 - 0.70x + 0.25