Solve the Problem $$\mathrm { P } = 4 \cos ( 4 \mathrm { t } )$$

question 259

Essay

Solve the problem.
-A mass hangs from a spring which oscillates up and down. The position P of the mass at time t is given by $$\mathrm { P } = 4 \cos ( 4 \mathrm { t } )$$ What is the amplitude? What is the period?
Graph this function over two periods beginning at t = 0.

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Definitions:

Debt-to-Equity Ratio

A financial metric indicating the relative proportion of shareholders' equity and debt used to finance a company's assets.

Return on Equity

A measure of a corporation's profitability that reveals how much profit a company generates with the money shareholders have invested.

Return on Assets

A financial ratio that measures how efficiently a company uses its assets to generate net income, typically expressed as net income divided by total assets.

Return on Debt

An assessment of the profitability relative to the amount of debt used, often calculated as the interest rate or yield on the debt instrument.