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

question 298

Multiple Choice

Evaluate the sum using the given information.
- $$\mathrm { x } _ { 1 } = - 1 , \mathrm { x } _ { 2 } = 5 , \mathrm { x } _ { 3 } = - 5 , \mathrm { x } _ { 4 } = 4 , \text { and } \Delta \mathrm { x } = - 0.9 ; \mathrm { f } ( \mathrm { x } ) = 3 \mathrm { x } ^ { 2 } - \mathrm { x }$$
$\sum _ { i = 1 } ^ { 4 } f \left( x _ { i } \right) \Delta x$

• A) \(- 712.8\)
• B) \(- 177.2\)
• C) \(- 23.2056\)
• D) \(- 178.2\)

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Definitions:

Indirect Method

A way of calculating cash flows for the cash flow statement where net income is adjusted for changes in balance sheet accounts to reflect cash operations.

Statement of Cash Flows

A financial statement showing the cash inflows and outflows from operating, investing, and financing activities over a specific period.

Operating Activities

Day-to-day business functions and transactions related to a company's core business operations, such as sales and purchasing.

Net Income

The profit a company has after all expenses, taxes, and costs have been subtracted from total revenue.