Use Newton's Method to Find the Zero Of $f(x)=-x^{3}-3 x+1$ To Within 0

question 87

Short Answer

Use Newton's method to find the zero of $f(x)=-x^{3}-3 x+1$ to within 0.00001 by solving the equation $f(x)=0$ using $x_{0}=1 \text {. }$

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Definitions:

Pima Indians

A Native American group living in what is now Arizona and Mexico, often studied in medical and nutritional research due to their high prevalence of type 2 diabetes.

Sonoran Desert

A desert located in the Southwestern United States and Northwestern Mexico, known for its extreme heat and distinctive flora and fauna.

American Diet

A diet typically characterized by high consumption of processed foods, red meat, high-fat dairy products, and sugary beverages, often associated with health issues.

Set Point

A theory suggesting that the body regulates its weight and energy balance through a biologically predetermined point.