Solve the Problem by Integration $\frac { \mathrm { dy } } { \mathrm { dx } } = \frac { 87 \mathrm { x } ^ { 2 } + 128 } { 9 x ^ { 4 } + 16 \mathrm { x } ^ { 2 } }$

question 334

Multiple Choice

Solve the problem by integration.
-The slope of a curve is given by $\frac { \mathrm { dy } } { \mathrm { dx } } = \frac { 87 \mathrm { x } ^ { 2 } + 128 } { 9 x ^ { 4 } + 16 \mathrm { x } ^ { 2 } }$ . Find the equation of the curve if it passes through $\left( \frac { 4 } { 3 } , 4 \right)$ .

• A) \(y = \frac { 8 } { x } - \frac { 5 } { 4 } \tan ^ { - 1 } \left( \frac { 3 } { 4 } x \right) - 10 + \frac { 5 } { 24 } \pi\)
• B) \(y = - \frac { 8 } { x } + \frac { 5 } { 4 } \tan ^ { - 1 } \left( \frac { 3 } { 4 } x \right) + 10 - \frac { 5 } { 16 } \pi\)
• C) \(y = \frac { 8 } { x } + \frac { 5 } { 4 } \tan ^ { - 1 } \left( \frac { 3 } { 4 } x \right) - 10 - \frac { 5 } { 16 } \pi\)
• D) \(y = - \frac { 8 } { x } + \frac { 5 } { 4 } \tan ^ { - 1 } \left( \frac { 3 } { 4 } x \right) + 10 - \frac { 5 } { 24 } \pi\)

Understand the impact of case management on cost containment and the efficiency of service delivery.

Recognize the variety of settings and contexts in which case management is applied.

Understand how to find and verify solutions for linear equations.

Understand the concept and identification of different types of equations such as conditional, identity, and equations with no solution.

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Architectural elements with pointed tops, characteristic of Gothic architecture, that allow for taller and more slender structures.

Humanist

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