$\text { Let } w = \cos ( 4 x - 4 y ) \text {, where } x = t ^ { 9 } \text { and } y = 3 \text {. Find } \frac { d w } { d t } \text {. }$

question 109

Multiple Choice

$\text { Let } w = \cos ( 4 x - 4 y ) \text {, where } x = t ^ { 9 } \text { and } y = 3 \text {. Find } \frac { d w } { d t } \text {. }$

• A) \(\frac { d w } { d t } = 12 \sin \left( 4 t ^ { 9 } - 12 \right) t ^ { 8 }\)
• B) \(\frac { d w } { d t } = - 36 \sin \left( 4 t ^ { 9 } - 12 \right) t ^ { 8 }\)
• C) \(\frac { d w } { d t } = 9 \sin \left( 4 t ^ { 9 } - 12 \right) t ^ { 8 }\)
• D) \(\frac { d w } { d t } = 36 \sin \left( 4 t ^ { 9 } - 12 \right) t ^ { 8 }\)
• E) \(\frac { d w } { d t } = - 12 \sin \left( 4 t ^ { 9 } - 12 \right) t ^ { 8 }\)

Understand the concept of correlation in statistical analysis.

Identify appropriate methods for calculating correlation coefficients.

Interpret the significance of correlation coefficients in research contexts.

Differentiate between positive and negative correlations.

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