Find the Product A) $- 14 \sqrt { 2 } - 14 \sqrt { 2 } \mathrm { i }$

question 435

Multiple Choice

Find the product. Write the product in rectangular form, using exact values.
-[7( $\left. \left. \cos 45 ^ { \circ } + \mathrm { i } \sin 45 ^ { \circ } \right) \right] \left[ 2 \left( \cos 90 ^ { \circ } + \mathrm { i } \sin 90 ^ { \circ } \right) \right]$

• A) \(- 14 \sqrt { 2 } - 14 \sqrt { 2 } \mathrm { i }\)
• B) \(7 \sqrt { 2 } - 28 \sqrt { 2 } \mathrm { i }\)
• C) \(2 \sqrt { 6 } - \sqrt { 2 } i\)
• D) \(- 7 \sqrt { 2 } + 7 \sqrt { 2 } i\)

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Definitions:

Wilhelm Wundt

Known as the "father of modern psychology," he founded the first formal laboratory for psychological research at the University of Leipzig, marking the beginning of psychology as a separate and distinct science.

Mary Whiton Calkins

An American psychologist who became the first woman to serve as the President of the American Psychological Association.

Margaret Floy Washburn

The first woman to earn a PhD in Psychology and known for her work in animal behavior and motor theory development.

Jean Piaget

A Swiss psychologist known for his pioneering work in child psychology and cognitive development.