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Two Curves Are Said to Be Orthogonal If Their Tangent y74x=π2,x=74cosyy - \frac { 7 } { 4 } x = \frac { \pi } { 2 } , \quad x = \frac { 7 } { 4 } \cos y

question 38

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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.
y74x=π2,x=74cosyy - \frac { 7 } { 4 } x = \frac { \pi } { 2 } , \quad x = \frac { 7 } { 4 } \cos y
 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

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Definitions:

Left Hemisphere

The left side of the brain, which is typically associated with analytic thought, logic, language, and processing of sequential tasks.

Upper Portion

The top segment or section of something, typically referring to physical objects, body parts, or geographical areas.

Entire Body

Referring to the whole of a person's or organism's body including all of its parts and systems.

Parietal Lobe

A region of the brain located at the upper back area in the skull, crucial for processing sensory information from various parts of the body, understanding spatial orientation, and navigation.

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