Determine whether the integral converges or diverges.
A. diverges, ?
for x ? 7,
diverges
B. diverges, ?
for x ? 7,
diverges
C. converges, ?
for x ? 7,
converges
D. converges, ?
for x ? 7,
converges
Answer: A
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Use the nth-Term Test for divergence to show that the series is divergent, or state that the test is inconclusive.
A. diverges
B. converges,
C. converges, 7
D. inconclusive
Rewrite using numbers and an inequality symbol.Fourteen is less than eighteen.
A. 14 > 18 B. 0 < 18 C. 18 < 14 D. 14 < 18
Graph the function.f(x) =
A.
B.
C.
D.
Solve the problem.The distance, in feet, that a car travels down the side of a mountain in each consecutive second is modeled by a sequence whose general term is an = 31n - 11, where n is the number of seconds. Find the distance the car travels in the fifth second.
A. 144 ft B. 155 ft C. 166 ft D. 113 ft