# The function f is concave upward on the interval [0, 2] and the function g is concave

## Question:

The function f is concave upward on the interval [0, 2] and the function g is concave downward on the interval [0, 2], as shown in the figure.

(a) Using the Trapezoidal Rule with n = 4, which integral would be overestimated,

Which integral would be underestimated? Explain your reasoning.

(b) Which rule would you use for more accurate approximations of

the Trapezoidal Rule or Simpson’s Rule? Explain your reasoning.

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**Related Book For**

## Calculus Of A Single Variable

**ISBN:** 9781337275361

11th Edition

**Authors:** Ron Larson, Bruce H. Edwards