Approximate the Value of the Definite Integral Using (A) the Trapezoidal

question 13

Multiple Choice

Approximate the value of the definite integral using (a) the Trapezoidal Rule and (b) Simpson's Rule for the indicated value of n. Round your answers to three significant digits. $\int _ { 0 } ^ { 2 } e ^ { - x ^ { 2 } } d x , n = 4$

• A)a. Trapezoidal Rule: \(\approx 1.881\) b. Simpson's Rule: \(\approx 0.882\)
• B)a. Trapezoidal Rule: \(\approx 0.881\) b. Simpson's Rule: \(\approx 0.882\)
• C)a. Trapezoidal Rule: \(\approx 0.881\) b. Simpson's Rule: \(\approx 1.882\)
• D)a. Trapezoidal Rule: \(\approx 0.081\) b. Simpson's Rule: \(\approx 0.882\)
• E)a. Trapezoidal Rule: \(\approx 0.881\) b. Simpson's Rule: \(\approx 0.082\)

Understand the influence of media and technology on children's behavior and social expectations.

Recognize the effects of employment and anti-poverty programs on family socioeconomic standing.

Define and explain prejudice and its manifestations in society.

Understand the causes and treatment modalities for common pediatric skin conditions.

---

Definitions:

Selling Price

The amount of money a buyer pays to acquire a product or service from a seller.

Vickery Auction

An auction model wherein bidders submit sealed bids, the highest bidder wins but pays the price offered by the second-highest bid, promoting truthful bidding.

Optimal Strategy

The best possible plan of action to achieve a specific goal or to maximize efficiency or effectiveness in a given situation.

Bid Aggressively

In a bidding scenario, to offer a significantly higher amount than other bidders, often to quickly secure an item or contract.