Evaluate the Sum Using the Given Information $$\sum _ { \mathrm { i } = 1 } ^ { 4 } \mathrm { f } \left( \mathrm { x } _ { \mathrm { i } } \right) \Delta \mathrm { x }$$

Evaluate the sum using the given information.
- $$\mathrm { x } _ { 1 } = 5 , \mathrm { x } _ { 2 } = 4 , \mathrm { x } _ { 3 } = - 5 , \mathrm { x } _ { 4 } = 3 \text {, and } \Delta \mathrm { x } = - 0.3 ; \mathrm { f } ( \mathrm { x } ) = \mathrm { x } ^ { 2 }$$
$$\sum _ { \mathrm { i } = 1 } ^ { 4 } \mathrm { f } \left( \mathrm { x } _ { \mathrm { i } } \right) \Delta \mathrm { x }$$

A) $- 0.6795$
B) $- 90$
C) $- 17.1$
D) $- 22.5$

Correct Answer:

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