Point $( \pi , 5 )$ A) $r = \ln | \tan t + 1 | + 5$

question 31

Multiple Choice

$\text { Find the solution of the differential equation } \frac { d r } { d t } = \frac { \sec ^ { 2 } t } { \tan t + 1 } \text { which passes through the }$ point $( \pi , 5 )$

• A) \(r = \ln | \tan t + 1 | + 5\)
• B) \(r = 2 \ln | \sec t + 1 |\)
• C) \(r = \ln | \tan t + 1 |\)
• D) \(r = 5 \ln | \tan t + 1 |\)
• E) \(r = 2 \ln | \sin t | + 5\)

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Definitions:

Multiple Counting

The erroneous practice of counting the same item more than once when calculating economic data, such as in measuring GDP.

Intermediate Goods

Goods used in the production process to create a final product, such as raw materials, components, or subassemblies, which are not counted in a country’s GDP to avoid double counting.

Final Goods

Products that are ready for consumption by individuals or businesses, without further transformation or being used in producing other goods.

Real GDP

The total value of all goods and services produced in a country in a year, adjusted for inflation or deflation.