Evaluate the integral by using a substitution prior to integration by parts.
A. ln (10x + 10x2) + ln (x +1) + C
B. ln (10x + 10x2) - 2x + C
C. xln (10x + 10x2) + C
D. xln (10x + 10x2) + ln (x +1) - 2x + C
Answer: D
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Solve the problem.Find the image of the given figure under the translation that takes P to P'.
A. 
B. 
C. 
D. 
Refer to the weighted voting system 
and the Shapley-Shubik definition of power. (The five players will be called P1, P2, P3, P4, and P5.)If player P5 is pivotal in a sequential coalition, which player does not appear before P5?
A. P1 B. P5 is never pivotal C. P2 D. P3 E. P4
Suppose 
measures an economy's personal consumption expenditure and x the personal income, both in billions of dollars. Then, 
measures the economy's savings corresponding to an income of x billion dollars. Then
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?
The quantity dS/dx is called the marginal propensity to save.
?
For the consumption function 
, find the marginal propensity to save.
?
A. $0.43 billion/billion dollars
B. $0.286 billion/billion dollars
C. $0.68 billion/billion dollars
D. $0.337 billion/billion dollars
Find the domain and the range of the relation.
A. domain: [0, 7] range: (-?, ?) B. domain: (?, -?) range: [3, 7] C. domain: (-?, ?) range: [0, 7] D. domain: [0, 7] range: (?, -?)