Calculate $\int _ { C } ( 5 x \vec { i } + 3 y \vec { j } ) \cdot \vec { d A }$

question 34

Multiple Choice

Calculate $\int _ { C } ( 5 x \vec { i } + 3 y \vec { j } ) \cdot \vec { d A }$ where C is a cylinder of radius R with 0 $\le$ z $\le$ 1.

• A) \(8 \pi R ^ { 4 }\)
• B) \(2 \pi R ^ { 3 }\)
• C) \(8 \pi R ^ { 2 }\)
• D) \(8 \pi R ^ { 3 }\)
• E) \(8 R ^ { 3 }\)

Recognize the effects and recovery dynamics from recessions since 1990, including factors leading to increases in national debt.

Identify key statements and policy positions of political figures regarding fiscal policy and economic growth.

Analyze the role of public works in economic stimulus and the potential for future benefits.

Understand the transition from budget surpluses to deficits, including contributing factors.

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