Determine whether the infinite geometric series converges or diverges. If it converges, find its sum.5 -
+
- ...
A. Converges; 5
B. Converges; -
C. Converges; 4
D. Diverges
Answer: C
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Sketch the graph and show all local extrema and inflection points.f(x) = 2x3 - 15x2 + 24x
A. Local max: (1, 11)
Local min: (4, -16)
Inflection point:
B. Local min: (3, 6)
No inflection point
C. Local max: (0, 0)
Local min: (2, -8)
Inflection point: (1, -4)
D. No extrema
Inflection point: (0, 0)
Compute the determinant of the matrix by cofactor expansion.
A. 14 B. 28 C. -28 D. 56
Solve the problem.A(x) = -0.015x3 + 1.05x gives the alcohol level in an average person's bloodstream x hours after drinking 8 oz of 100-proof whisky. If the level exceeds 1.5 units, a person is legally drunk. Find the rate of change of alcohol level with respect to time when x = 2 hours.
A. 0.87 units/hr B. 1.92 units/hr C. 0.99 units/hr D. 1.23 units/hr
Convert the compound statement into words.p = "The food tastes delicious."q = "We eat a lot."r = "Nobody has dessert."~q ? (p ? r)
A. We do not eat a lot or the food tastes delicious or nobody has dessert. B. We do not eat a lot and the food tastes delicious and nobody has dessert. C. We eat a lot or the food tastes delicious and nobody has dessert. D. We do not eat a lot or the food tastes delicious and nobody has dessert.