Determine whether the improper integral is convergent or divergent.
A. Divergent
B. Convergent
Answer: B
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Evaluate the integral.
A. 6i + 6j - 3k
B. 6i - 6j + 3k
C. 3i - 3j - k
D. 3i + 3j - k
Evaluate the expression for the given replacement values.8x2 + 5x for x = 4
A. 108 B. 52 C. 148 D. 84
A function f is continuous at the point if the following conditions are satisfied.
?
1. is defined.
2. exists.
3. .
?
Determine the values of x, if any, at which the function is discontinuous. At each point of discontinuity, state the condition(s) for continuity that are violated.
?
?
?
A. ; conditions 1, 2
B. ; conditions 2, 3
C. ; conditions 1, 2
D. ; condition 2
E. Continuous everywhere.
Find the center, transverse axis, vertices, and foci of the hyperbola.16x2 - 100y2 = 1600
A. center at (0, 0)
transverse axis is x-axis
vertices: (-4, 0), (4, 0)
foci: (-2, 0), (2
, 0)
B. center at (0, 0)
transverse axis is x-axis
vertices: (0, -10), (0, 10)
foci: (0, -2), (0, 2
)
C. center at (0, 0)
transverse axis is x-axis
vertices: (-10, 0), (10, 0)
foci: (-2, 0), (2
, 0)
D. center at (0, 0)
transverse axis is x-axis
vertices: (-10, 0), (10, 0)
foci: (-2, 0), (2
, 0)