Find the Differential of the Function at the Indicated Number $$f ( x ) = 13 \sin x + 4 \cos x ; \quad x = \frac { \pi } { 4 }$$

question 17

Multiple Choice

Find the differential of the function at the indicated number. $$f ( x ) = 13 \sin x + 4 \cos x ; \quad x = \frac { \pi } { 4 }$$

• A) \(\frac { 9 \sqrt { 2 } } { 2 } d x\)
• B) \(- \frac { 17 \sqrt { 2 } } { 2 } d x\)
• C) \(\frac { 17 \sqrt { 2 } } { 2 } d x\)
• D) \(- \frac { 9 \sqrt { 2 } } { 2 } d x\)

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Definitions:

Heckscher-Ohlin Model

An economic theory that proposes countries export what they can most efficiently and abundantly produce.

Comparative Advantage

The ability of an individual, company, or country to produce a good or service at a lower opportunity cost than its competitors.

Ricardian Model

An economic theory that focuses on comparative advantage, explaining how countries can gain from trade by specializing in producing goods at a lower opportunity cost.

Production Possibility Frontiers

These are curves that depict the maximum potential output of a combination of two goods or services that an economy can produce with available resources.