Use the Given Acceleration Function and Initial Conditions to Find

question 77

Multiple Choice

Use the given acceleration function and initial conditions to find the position at time t = 3. $\mathbf { a } ( t ) = 5 \cos t \mathbf { i } - 3 \sin t \mathbf { j } , \quad \mathbf { v } ( 0 ) = 8 \mathbf { j } + 5 \mathbf { k } , \quad \mathbf { r } ( 0 ) = - 5 \mathbf { i }$

• A) \(\mathbf { r } ( 3 ) = - 5 \cos 3 \mathbf { i } - ( 3 \sin 3 + 15 ) \mathbf { j } + 15 \mathbf { k }\)
• B) \(\mathbf { r } ( 3 ) = - 5 \cos 3 \mathbf { i } + ( 3 \sin 3 - 15 ) \mathbf { j } + 15 \mathbf { k }\)
• C) \(\mathbf { r } ( 3 ) = - 5 \cos 3 \mathbf { i } + ( 3 \sin 3 + 15 ) \mathbf { j } + 15 \mathbf { k }\)
• D) \(\mathbf { r } ( 3 ) = 5 \cos 3 \mathbf { i } + ( 3 \sin 3 + 15 ) \mathbf { j } + 15 \mathbf { k }\)
• E) \(\mathbf { r } ( 3 ) = - 5 \cos 3 \mathbf { i } + 15 \mathbf { j } + ( 3 \sin 3 + 15 ) \mathbf { k }\)

Explore the stability and consistency of personality over time and across situations.

Identify the major personality traits, including extraversion and its conceptual opposite, introversion.

Understand the influence of personality on social media behavior and online presence.

Analyze the relationship between personality psychology and other branches of psychology.

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Definitions:

Variable Costs

Expenses that change in proportion to the activity of a business, such as materials and labor costs that vary with production volume.

Operating Income

Earnings from a company's core business operations, excluding expenses and revenues that are unrelated to the primary activities.

Unit Selling Price

The cost for one unit of a product when it is sold.

Unit Variable Costs

Costs that vary directly with the volume of production or sales, such as materials and labor, on a per-unit basis.