Estimate the Value of the Radical by Using Three Iterations

question 10

Short Answer

Estimate the value of the radical by using three iterations of the Newton-Raphson method with the indicated initial guess for the function. Round your answer to six decimal places, if necessary.
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Definitions:

Pollen Grains

Microscopic structures that carry the male gametes of seed plants and are necessary for fertilization.

Phloem

Phloem is the living tissue in plants that transports the soluble organic compounds made during photosynthesis (notably sugars) to various parts of the plant.

Life Cycle

The series of stages through which an organism passes from the start of its life until it reproduces and starts the cycle anew.

Pine

A type of coniferous tree known for needle-like leaves and producing cones as part of its reproductive system.