Two Curves Are Said to Be Orthogonal If Their Tangent $\frac{3}{4}$

question 41

Short Answer

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 - $\frac{3}{4}$ x = $\frac{\pi}{2}$ x = $\frac{3}{4}$ cos y

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Definitions:

Chilopods

A class of arthropods commonly known as centipedes, characterized by elongated bodies and a pair of legs per body segment.

Arachnids

Eight-legged arthropods, such as spiders, scorpions, ticks, and mites.

True Coelom

A body cavity completely lined by mesoderm, found in most multicellular animals, facilitating the development of more complex structures.

Open Circulatory System

A type of circulatory system in which the blood bathes the tissues directly; characteristic of arthropods and many mollusks. Compare with closed circulatory system.