Estimate the Area Under the Graph Of $f ( x ) = 2 ^ { - x }$

question 37

Essay

Estimate the area under the graph of $f ( x ) = 2 ^ { - x }$ from $x = 0$ to $x = 4$ using
(a) four approximating rectangles and right endpoints.
(b) four approximating rectangles and left endpoints.
(c) eight approximating rectangles and right endpoints.

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Definitions:

Corporate Tax Rate

The tax rate that companies are charged on their profits by the government.

Break-Even Lease Payment

The lease payment at which the cost of leasing equals the benefits received, with no net loss or gain from entering into the lease.

Cost of Debt

The effective rate that a company pays on its total debt, representing the interest expense on all outstanding debts.

Marginal Tax Rates

The rate of additional federal income tax that applies to each additional dollar of taxable income, indicating the percentage of tax applied to your income for each tax bracket in which you qualify.