Set Up an Integral for the Area of the Surface $$y = x ^ { 3 } , 0 \leq x \leq 2 ; x \text {-axis }$$

question 69

Multiple Choice

Set up an integral for the area of the surface generated by revolving the given curve about the indicated axis.
- $$y = x ^ { 3 } , 0 \leq x \leq 2 ; x \text {-axis }$$

• A) \(2 \pi \int _ { 0 } ^ { 2 } x ^ { 3 } \sqrt { 1 + 9 x ^ { 4 } } d x\)
• B) \(\pi \int _ { 0 } ^ { 2 } x ^ { 2 } \sqrt { 1 + 9 x ^ { 4 } } d x\)
• C) \(\pi \int _ { 0 } ^ { 2 } x ^ { 3 } \sqrt { 1 + 9 x ^ { 4 } } d x\)
• D) \(2 \pi \int _ { 0 } ^ { 2 } x ^ { 2 } \sqrt { 1 + 9 x ^ { 4 } } d x\)

Identify the historical and theoretical context of Keynesian economics.

Understand the difference between beliefs and attitudes.

Identify the concepts of automatic and deliberate attitudes.

Recognize the role of attitudes in decision-making processes.

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