Find the Arc Length of the Curve Y = X³

question 312

Essay

Find the arc length of the curve y = x³ - 5 over the interval x = 0 to x = 3. Approximate area to three decimal places. Use a CAS if necessary.

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Definitions:

Chromosomal Abnormality

A deviation from the normal chromosome number or structure in cells, often leading to genetic disorders or syndromes.

Down Syndrome

A genetic disorder caused by the presence of all or part of a third copy of chromosome 21, characterized by physical growth delays, characteristic facial features, and mild to moderate intellectual disability.

Sex-linked Disorders

Genetic diseases that are passed through sex chromosomes, typically resulting in disorders more frequently in one sex than the other.

Phenotype

The set of observable characteristics of an individual resulting from the interaction of its genotype with the environment.