Set Up an Integral for the Length of the Curve $$y = x ^ { 4 } , 0 \leq x \leq 1$$

question 115

Multiple Choice

Set up an integral for the length of the curve.
- $$y = x ^ { 4 } , 0 \leq x \leq 1$$

• A) \(\int _ { 0 } ^ { 1 } \sqrt { 1 + 4 x ^ { 3 } } d x\)
• B) \(\int _ { 0 } ^ { 1 } \sqrt { 1 + 16 x ^ { 8 } } d x\)
• C) \(\int _ { 0 } ^ { 1 } \sqrt { 1 + 4 x ^ { 6 } } d x\)
• D) \(\int _ { 0 } ^ { 1 } \sqrt { 1 + 16 x ^ { 6 } } d x\)

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Definitions:

Longitudinal

refers to research or observational studies that follow the same subjects over a period of time, noting changes and developments.

Sequential Designs

A research method in which participants are studied or tested over a period of time at different stages or points.

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The ethical principle that emphasizes acting in ways that promote the well-being of others.

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