Question: 1. State the Implicit Trapezoid rule Given that f ( t , y 1 ) f ( t , y 2 ) K y 1

1. State the Implicit Trapezoid rule Given that f ( t , y 1 ) f ( t , y 2 ) K y 1 y 2 What are the conditions needed for h to make the local iterate converge 2. using implicit trapezoid rule for yn+1 for y'=8y+2t2 3. for f ( )=0, f ' ( ) 0,f (x) cont. on [a,b] then Newton's method satisfies x n 2 C ,C isa constant x n+1

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