Let the Fourier Integral Representation of F Is
A) $f ( x ) = \int _ { 0 } ^ { \infty } \{ [ \sin ( \alpha x ) + \sin ( ( 3 - x ) \alpha ) ] / \alpha \} d \alpha / \pi$

question 4

Multiple Choice

Let $f ( x ) = \left\{ \begin{array} { c c c } 0 & \text { if } & x < 0 \\2 & \text { if } & 0 \leq x \leq 3 \\0 & \text { if } & x > 3\end{array} \right\}$ . The Fourier integral representation of f is

• A) \(f ( x ) = \int _ { 0 } ^ { \infty } \{ [ \sin ( \alpha x ) + \sin ( ( 3 - x ) \alpha ) ] / \alpha \} d \alpha / \pi\)
• B) \(f ( x ) = 2 \int _ { 0 } ^ { \infty } \{ [ \sin ( \alpha x ) + \sin ( ( 3 - x ) \alpha ) ] / \alpha \} d \alpha\)
• C) \(f ( x ) = 2 \int _ { 0 } ^ { \infty } \{ [ \sin ( \alpha x ) + \sin ( ( 3 - x ) \alpha ) ] / \alpha \} d \alpha / \pi\)
• D) \[f ( x ) = \int _ { 0 } ^ { \infty } \{ [ \sin ( a x ) + \sin ( ( 3 - x ) \alpha ) ] / \alpha \} d \alpha\]
• E) none of the above

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Definitions:

Macula Lutea

A small, yellowish central area of the retina that is rich in cones and mediates clear, detailed vision.

Anterior Cavity

A body cavity that includes the thoracic, abdominal, and pelvic cavities; it houses and protects the body's internal organs.

Posterior Cavity

A body cavity located towards the back of the human body, housing the brain and spinal cord within its cranial and spinal subdivisions.

Conjunctiva

The thin, transparent membrane lining the inner surface of the eyelid and covering the white part of the eyeball.