Apply Green's Theorem to evaluate the integral.
(4y dx + 8y dy)C: The boundary of 0 ? x ? ?, 0 ? y ? sin x
A. 0
B. -8
C. 4
D. 8
Answer: D
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State the domain and the range of the function.g(x) = ln x - 0.3
A. Domain: (-?, ?); Range: (0, ?) B. Domain: (0, ?); Range: (-?, ?) C. Domain: (0.3, ?); Range: (-?, ?) D. Domain: (-?, ?); Range: (0.3, ?)
Solve the problem.You are playing a game in which a single die is rolled. If a 2 or a 5 comes up, you win $48, otherwise you lose $3. What is the price that you should pay to play the game that would make the game fair?
A. $15 B. $7.50 C. $13 D. $14
Use the formula for the sum of the first n terms of a geometric sequence to solve.Find the sum of the first six terms of the geometric sequence: 4, 8, 16, . . . .
A. 252 B. 63 C. 8190 D. 28
In a certain distribution, the mean is 50 with a standard deviation of 6. Use Chebyshev's theorem to tell the probability that a number lies in the following interval. Round your results to the nearest whole percent.Between 35 and 65
A. At least 89% B. At least 84% C. At least 86% D. At least 80%