Below Is a Table of Values for a Continuous Function $\begin{array} { | c | c | c | c | c | c | } \hline x & - 1 & - 0.5 & 0 & 0.5 & 1 \\\hline f ( x ) &2.0 &1.5 &-1.0 &0.5 &-3.0 \\\hline\end{array}$

question 167

Essay

Below is a table of values for a continuous function f. $\begin{array} { | c | c | c | c | c | c | } \hline x & - 1 & - 0.5 & 0 & 0.5 & 1 \\\hline f ( x ) &2.0 &1.5 &-1.0 &0.5 &-3.0 \\\hline\end{array}$
(a) Use the Trapezoidal Rule with n = 4 to approximate $\int _ { - 1 } ^ { 1 } f ( x ) d x$
(b) Use Simpson's Rule with n = 4 to approximate $\int _ { - 1 } ^ { 1 } f ( x ) d x$

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Definitions:

Exemplar View

a theory in cognitive psychology suggesting that individuals categorize objects and ideas by comparing new experiences to specific examples stored in memory.

Superordinate Level

A high-level classification or grouping that is more abstract than its lower-level counterparts in hierarchical arrangements.

Nonanalytic Concept Formation

Cognitive processes that implicitly acquire knowledge of a complex structure during the memorization of examples.

Reber

Refers to psychologist Arthur Reber, known for his work on implicit learning and the cognitive unconscious, particularly how people can learn complex information without being aware of the learning process.