Use a Table of Integrals with Forms Involving $\sqrt { a ^ { 2 } - u ^ { 2 } }$

question 34

Multiple Choice

Use a table of integrals with forms involving $\sqrt { a ^ { 2 } - u ^ { 2 } }$ to find $\int \frac { - 3 } { x ^ { 2 } \sqrt { 49 - x ^ { 2 } } } d x$

• A) \(\frac { 3 \sqrt { 49 - x ^ { 2 } } } { 49 x } + C\)
• B) \(- \frac { \sqrt { 49 - x ^ { 2 } } } { 49 x } + C\)
• C) \(\frac { 3 } { 7 } \ln \left| \frac { 7 + \sqrt { 49 - x ^ { 2 } } } { x } \right| + C\)
• D) \(- \frac { 3 \sqrt { 49 - x ^ { 2 } } } { 49 x } + C\)
• E) \(- \frac { 3 } { 7 } \ln \left| \frac { 7 + \sqrt { 49 - x ^ { 2 } } } { x } \right| + C\)

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Definitions:

Operating Cash Flow

Cash generated from the core business operations of a company, excluding financing and investment activities.

Sensitivity Analysis

A method employed to understand the effect of varying independent variable values on a specific dependent variable, considering certain assumptions.

Net Present Value (NPV)

The discrepancy between cash inflows' present value and cash outflows' present value during a defined timeframe.

Scenario Approach

A strategic planning method that explores future possibilities by simulating different plausible future outcomes.