Suppose the Points $x_{0}, x_{1}, \ldots, x_{n}$ Are Equally Spaced And $\alpha$

question 56

Multiple Choice

Suppose the points $x_{0}, x_{1}, \ldots, x_{n}$ are equally spaced and $\alpha$$=$$x_{0}$$<$$x_{1}$$\text { < }$ ... $<$$x_{n}$$=b$ .What is the formula (in terms of f and the $x_{i}$ 's) for the right Riemann sum approximation to $\int_{a}^{b} f(x) d x$ ?

• A) \(\sum_{i=a}^{b} f\left(x_{i}\right) \Delta x\)
• B) \(\sum_{i=a+n}^{b+n} f\left(x_{i}\right) \Delta x\)
• C) \(\sum_{i=1}^{n} f\left(x_{i}\right) \Delta x\)
• D) \(\sum_{i=0}^{n-1} f\left(x_{i}\right) \Delta x\)

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Definitions:

Effective Rate

The actual interest rate of an investment or loan, taking into account the effects of compounding.

Compounded Semi-Annually

Interest calculation method where the interest is added to the principal sum twice a year, causing the interest to earn interest.

Strip Bond

A type of bond where the principal and regular coupon payments have been separated and are sold individually as zero-coupon bonds.

Interest

The cost of borrowing money, typically expressed as a percentage of the borrowed amount, paid by the borrower to the lender.