Let S Be a Circular Cylinder of Radius 0 $( x ( \theta ) , y ( \theta ) , z ( \theta ) )$

question 23

Essay

Let S be a circular cylinder of radius 0.2, such that the center of one end is at the origin and the center of the other end is at the point (5, 0, 4).
Let P be the plane containing the base of the cylinder (i.e., the plane through the origin perpendicular to the axis of the cylinder).
In each case, give a parameterization $( x ( \theta ) , y ( \theta ) , z ( \theta ) )$ and specify the range of values your parameters must take on.
(i)the circle in which the cylinder, S, cuts the plane, P.
(ii)the surface of the cylinder S.

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Definitions:

Retention Ratio

A metric that shows the percentage of net income retained in the company rather than paid out as dividends to shareholders.

Debt-Equity Ratio

The quotient representing a company's use of debt over equity, obtained by dividing its liabilities total by shareholder equity.

Total Asset Turnover

A financial ratio that measures a company's ability to generate sales from its assets by comparing net sales with average total assets.

Profit Margin

A financial metric indicating the percentage of revenue that exceeds the cost of goods sold, showing the profitability of a company.