Solve the Problem $\frac { \mathrm { dw } } { \mathrm { dt } }$

question 115

Multiple Choice

Solve the problem.
-Evaluate $\frac { \mathrm { dw } } { \mathrm { dt } }$ at $\mathrm { t } = \frac { 5 } { 2 } \pi$ for the function $\mathrm { w } = \frac { \mathrm { xy } } { \mathrm { z } } ; \mathrm { x } = \sin \mathrm { t } , \mathrm { y } = \cos \mathrm { t } , \mathrm { z } = \mathrm { t } ^ { 2 }$ .

• A) \(- \frac { 4 } { 25 } \left( \frac { 1 } { \pi ^ { 2 } } \right)\)
• B) \(\frac { 1 } { 2 } \left( \frac { 1 } { \pi ^ { 2 } } \right)\)
• C) \(- \frac { 1 } { 2 } \left( \frac { 1 } { \pi ^ { 2 } } \right)\)
• D) \(- \frac { 1 } { 2 } \left( \frac { 1 } { \pi } \right)\)

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Definitions:

Flotation Costs

Expenses incurred by a company in issuing new securities, including underwriting, legal, and registration fees.

Capital Gains

The profit earned from the sale of assets or investments when the selling price exceeds the purchase price.

CAPM

Capital asset pricing model. A statistical model of the investment world aimed at explaining how required returns are determined in financial markets and thereby how stock prices are set. Also see SML.

Risk-Free Interest

The return on investment with no risk of financial loss, typically associated with government bonds.