Find an Equation of the Tangent to the Curve at the Point

question 60

Short Answer

Find an equation of the tangent to the curve at the point by first eliminating the parameter. $$x = e ^ { t } , \quad y = ( t - 9 ) ^ { 2 }$$

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Definitions:

STIs

Sexually Transmitted Infections, which are infections transmitted through sexual contact.

Transmission

The act or process by which something is spread or passed on from one place or person to another.

Staph Bacteria

Refers to a group of bacteria that can cause a range of illnesses, from minor skin infections to life-threatening diseases like pneumonia.

Skin Infections

Diseases involving the invasion of pathogenic organisms into the skin, leading to symptoms like redness, pain, and swelling.