Find the Arc Length of the Curve $x = 2 t ^ { 2 } , y = 3 t ^ { 3 } \text { on the interval } 1 \leq t \leq 4 \text {. Round }$

question 101

Multiple Choice

Find the arc length of the curve $x = 2 t ^ { 2 } , y = 3 t ^ { 3 } \text { on the interval } 1 \leq t \leq 4 \text {. Round }$ your answer to three decimal places.

• A)287.453
• B)191.635
• C)193.606
• D)66.480
• E)99.721

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Definitions:

EEG

Electroencephalogram, a test that detects electrical activity in your brain using small, flat metal discs (electrodes) attached to the scalp.

Pineal Gland

A small endocrine gland in the brain that produces melatonin, a hormone that regulates sleep patterns.

Endocrine Gland

Glands of the endocrine system that release hormones directly into the bloodstream.

Hypothalamus

A region of the brain responsible for releasing hormones that regulate body temperature, hunger, moods, and the release of hormones from many glands, especially the pituitary gland.