1) Answer TRUE or FALSE to the following question. Then give at least a few sentences to justify your conclusion. You may not use your calculator on this problem. Simpson's Rule can be used with 41 subintervals to estimate the integral of a continuous function f(x) on the interval [a, b].
2) Recall
denotes the midpoint approximation with n rectangles. Similarly,
denotes the trapezoidal approximation with n trapezoids. To
determine the amount of material needed to build a component of a
bridge you need to numerically integrate
An engineer has already found
. Using the necessary data from the engineer, find
.