In 35-52, find each sum. 4 + 4.5 + 5 + 5.5 + ... + 100

S343 Section 2.7 Notes- Euler’s Method of Numerical Approximation 9-13-16 Used for equations that cannot be solved without computer- give numerical approximation of at given values Known as first-order method/tangent line method- error at each step (iteration) decreases like ℎ decreases +ℎ − ) Recall = (, )) = ℎ→0 ( ℎ ) where ℎ = uniform step size between and +1 (ie. = + ℎ) +1 +ℎ −() o (, )) ≈ ℎ ℎ( (, ))≈ + ℎ − ( )