Two Curves Are Said to Be Orthogonal If Their Tangent $$y - \frac { 7 } { 4 } x = \frac { \pi } { 2 } , \quad x = \frac { 7 } { 4 } \cos y$$

question 48

Essay

Two curves are said to be orthogonal if their tangent lines are perpendicular at each point of
intersection of the curves.Show that the curves of the given equations are orthogonal. $$y - \frac { 7 } { 4 } x = \frac { \pi } { 2 } , \quad x = \frac { 7 } { 4 } \cos y$$

---

Definitions:

Net Capital Outflow

The net flow of funds invested overseas by a country over a certain period, calculated as the difference between the capital leaving the country and capital entering it.

Foreign Direct Investment

An investment made by a company or individual in one country in business interests in another country, in the form of establishing business operations or acquiring business assets.

Foreign Portfolio Investment

Investments in foreign countries' securities, such as stocks and bonds, without control over the management of those entities.

Net Capital Outflow

The difference between a nation's savings and its investment, representing the amount of domestic capital invested abroad minus the foreign capital invested domestically.