Evaluate the Sum Using the Given Information $$x _ { 1 } = - 4 , x _ { 2 } = 5 , x _ { 3 } = 2 , x _ { 4 } = 1 , \text { and } \Delta x = - 0.8 ; f ( x ) = x ^ { 2 }$$

question 246

Multiple Choice

Evaluate the sum using the given information.
- $$x _ { 1 } = - 4 , x _ { 2 } = 5 , x _ { 3 } = 2 , x _ { 4 } = 1 , \text { and } \Delta x = - 0.8 ; f ( x ) = x ^ { 2 }$$
$\sum _ { \mathrm { i } = 1 } ^ { 4 } \mathrm { f } \left( \mathrm { x } _ { \mathrm { i } } \right) \Delta \mathrm { x }$

• A) \(- 147.2\)
• B) \(- 36.8\)
• C) \(- 4.4864\)
• D) \(- 35.2\)

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Definitions:

Reciprocal

Reciprocal involves a mutual or cooperative exchange of actions or relations, such as mutual respect, or in mathematics, as a mathematical expression indicating inverseness.

Rewarding

pertains to the act of providing a positive response or reinforcement following a desired behavior, increasing the likelihood of the behavior's recurrence.

Proximal

Situated nearer to the center of the body or the point of attachment.

Reciprocity

A social principle that involves exchanging things with others for mutual benefit.