In the Previous Problem, Apply a Fourier Sine Transform in X

question 39

Multiple Choice

In the previous problem, apply a Fourier sine transform in x. The new problem for the transform $U ( a , t )$ is

• A) \(k \frac { \partial U } { \partial t } + \alpha ^ { 2 } U = k \alpha u _ { 0 } , U ( \alpha , 0 ) = 0\)
• B) \(k \frac { \partial U } { \partial t } - \alpha ^ { 2 } U = k \alpha u _ { 0 } , U ( \alpha , 0 ) = 0\)
• C) \(\frac { \partial U } { \partial t } + k \alpha ^ { 2 } U = k \alpha \psi _ { 0 } , U ( \alpha , 0 ) = 0\)
• D) \(\frac { \partial U } { \partial t } - k \alpha ^ { 2 } U = k \alpha \psi _ { 0 } , U ( \alpha , 0 ) = 0\)
• E) \(\frac { \partial U } { \partial t } + \alpha ^ { 2 } U = k \alpha u _ { 0 } , U ( \alpha , 0 ) = 0\)

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Definitions:

Amortization

The process of gradually writing off the initial cost of an intangible asset over a period of time reflective of its useful life.

Depreciation

The distribution of a physical asset's cost across its lifespan, representing its diminishing value as time passes.

Accumulated Depreciation

Is the total depreciation of a company's fixed assets up to a specified time, reflecting how much of the asset's value has been used up.

Initial Cost

The original expense incurred to purchase an asset or the cost associated with starting a project.