Let $f ( x ) = ( \sin x ) ^ { x }$

question 21

Multiple Choice

Let $f ( x ) = ( \sin x ) ^ { x }$ . Find the value of $f ^ { \prime } \left( \frac { \pi } { 2 } \right)$ .

• A)0
• B)1
• C)2
• D)
• \(e ^ { \frac { \pi } { 2 } }\)
• E) \(e ^ { x }\)
• F) \(\frac { \pi } { 2 }\)
• G) \(\pi\)
• H)2 \(\pi\)

Explore factors affecting photosynthesis, primary production, and ecosystem energy flow, including the impact of COS1U1B12S1U1B0.

Understand the effects of environmental factors and human actions (e.g., increased CO2 levels, nitrogen fertilization) on net primary production (NPP) in ecosystems.

Differentiate between ecosystems and communities by identifying the inclusion of abiotic components and the examination of energy flow and nutrient cycling in ecosystems.

Analyze the impact of elevated carbon dioxide levels on various organisms in marine and terrestrial ecosystems, identifying those that benefit from increased CO2.

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Definitions:

Dependent Variable

The outcome factor in a study that changes in response to manipulations of the independent variable.

Predicted Score

An estimate based on a model or algorithm of what a variable's value will be based on other variables.

Regression Equation

An equation that describes the relationship between one dependent variable and one or more independent variables, often used to predict outcomes.

Regression Line

The line drawn based on values in a regression equation. Also known as a trend line.