$\mathbf { r } ( t ) = \cos t \mathbf { i } + \sin t \mathbf { j } + t ^ { 2 } \mathbf { k } , 0 \leq t \leq \pi$

question 36

Multiple Choice

$\text { Find the value of the line integral } \int _ { C } \mathbf { F } \cdot d \mathbf { r } \text {, where } \mathbf { F } ( x , y ) = 4 \mathbf { i } + 2 z \mathbf { j } + 2 y \mathbf { k } \text { and }$$\mathbf { r } ( t ) = \cos t \mathbf { i } + \sin t \mathbf { j } + t ^ { 2 } \mathbf { k } , 0 \leq t \leq \pi$
(Hint: If $\mathbf { F }$ is conservative, the integration may be easier on an alternate path.)

• A) 4
• B) 8
• C) 4.
• D) \(- 4\).
• E) \(- 8\).

Recognize the impact of the HUAC inquiries and the blacklist on Hollywood, including the Hollywood Ten and the reasons behind the industry's compliance.

Describe the ideological underpinnings of film noir and its distinctions from other genres.

Explain the business practices of block booking, vertical integration, and their effects on the film industry.

Grasp the significance of the auteur theory and its application within the context of Hollywood's studio system.

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