Trapezoidal Rule In Exercises 21 and 22, use the Trapezoidal Rule with to approximate the definite integral. Compare the result with the exact value and the approximation obtained with and the Midpoint Rule. Which approximation technique appears to be better? Let f be continuous on and let n be the number of equal subintervals (see figure). Then the Trapezoidal Rule for approximating is b a 2n fx0 2fx1 . . . 2fxn1 fxn. b a fx dx 3 1 1 x2 dx

Ento 2010 Week 12 Notes April 4, 2016 o Mantids can “hear” the sonar of bats Mantids dive to avoid the bats o Importance of “behavior” in mimicry: Caterpillars avoid birds Birds see leaf damage and find caterpillars Cryptic caterpillars look like leaf or twig ...