Challenge: The Taylor Series

Challenge yourself on vector calculus by implementing the Taylor approximation.

Problem statement

Imagine that scientists are trying to approximate a health score against different factors of global warming, such as the average rise in global temperature, the percentage of carbon dioxide, and any humidity.

Mathematical formulation

The scientists hypothesize that the health score is a multivariate function f:R3Rf: \R^3 \rightarrow \R given in the following way:

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