If $f ( x ) = \sqrt { x + \sqrt { x } } , \text { find } f ^ { \prime } ( 1 )$

question 18

Multiple Choice

If $f ( x ) = \sqrt { x + \sqrt { x } } , \text { find } f ^ { \prime } ( 1 )$

• A)
• \(\frac { 3 \sqrt { 2 } } { 8 }\)
• B) \(\frac { \sqrt { 2 } } { 4 }\)
• C) \(\frac { 1 } { 4 }\)
• D) \(\frac { 1 } { 8 }\)
• E) \(\frac { \sqrt { 2 } } { 2 }\)
• F) \(\frac { 1 } { 2 }\)
• G) \(\sqrt { 2 }\)
• H)1

Identify safe and hazardous locations for human settlements in relation to volcanic and earthquake activities.

Recognize the features of passive continental margins and abyssal plains.

Differentiate between plate boundaries associated with major geological hazards and those that are relatively stable.

Apply knowledge of plate tectonics to infer potential geological events at given locations.

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Definitions:

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A method in statistics for comparing the average values of two associated groups to check if the difference between them is notable.

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A ratio used in hypothesis testing that measures the difference between an observed sample statistic and its hypothesized population parameter, relative to the sample standard deviation.

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A statement used in statistics that proposes there is no significant difference or effect, serving as the premise to be tested against an alternative hypothesis.