Apply the Trapezoidal Rule and Simpson's Rule to Approximate the Value

question 82

Multiple Choice

Apply the Trapezoidal Rule and Simpson's Rule to approximate the value of the definite integral using 8 subintervals. Round your answer to six decimal places and compare the result with the exact value of the definite integral.
$\int _ { 3 } ^ { 4 } \sqrt [ 4 ] { x } d x$

• A) The Trapezoidal rule gives \(1.366878\) and Simpson's rule gives \(1.435222\).
• B) The Trapezoidal rule gives \(- 1.366878\) and Simpson's rule gives \(- 1.366906\).
• C) The Trapezoidal rule gives \(1.366878\) and Simpson's rule gives \(1.366906\).
• D) The Trapezoidal rule gives \(1.366795\) and Simpson's rule gives \(1.435222\).
• E) The Trapezoidal rule gives \(1.366795\) and Simpson's rule gives 1.366906.

---

Definitions:

Financial Leverage

The use of borrowed money (debt) to finance the acquisition of assets, with the expectation that the income or capital gain from the new assets will exceed the cost of borrowing.

Par Bonds

Bonds that are issued and redeemed at their face value, or par value, which represents the nominal or dollar value printed on the bond.

Expected Perpetual EBIT

The forecasted continuous earnings before interest and taxes that a company expects to generate over an indefinite future period, assuming a steady state of operations.

Unlevered Cost of Capital

The cost of capital for a company that has no debt, representing its cost of equity.