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Estimate the Value Of 53\sqrt [ 3 ] { 5 }

question 25

Multiple Choice

Estimate the value of 53\sqrt [ 3 ] { 5 } by using three iterations of Newton's method to solve the equation x35=0x ^ { 3 } - 5 = 0 with initial estimate x0=2x _ { 0 } = 2 . Round your final estimate to four decimal places.

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Definitions:

Seafloor Spreading

The process by which oceanic crust is formed at mid-ocean ridges and moves outward from ridge crests, driven by tectonic plate movements.

Volcanic Activity

The process by which magma and gases are transferred from the Earth's mantle to its surface, including eruptions, lava flows, and gas emissions.

Converging Plates

The movement of two tectonic plates towards each other, often leading to geological features like mountains, earthquakes, and volcanoes.

Seafloor Spreading

The process by which new oceanic crust is formed at mid-ocean ridges and slowly moves away from them, caused by the divergence of tectonic plates.

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