Evaluate the Integral to Six Decimal Places $$\int _ { 0 } ^ { 1 } \frac { x ^ { 3 } } { \sqrt { 64 - x ^ { 2 } } } d x$$

question 126

Short Answer

Evaluate the integral to six decimal places.
$$\int _ { 0 } ^ { 1 } \frac { x ^ { 3 } } { \sqrt { 64 - x ^ { 2 } } } d x$$

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Definitions:

Contribution Margin

The selling price per unit, minus the variable cost per unit, indicating the contribution towards covering fixed costs and profit.

Business Risk

The potential for loss or failure in a business operation due to factors like market conditions, financial instability, or operational challenges.

Financial Risk

The possibility of losing money on an investment or business venture, including market risk, credit risk, liquidity risk, and operational risk.

Variable Cost Ratio

This is a financial metric that represents the variable costs incurred as a percentage of sales, showing how much of each sales dollar is eaten by variable costs.