What is the main purpose of the Bisection Method?, To find the maximum of a function, To find a root of an equation, To find the derivative of a function, To find the area under a curve, ‏ What condition must f(a) and f(b) satisfy before using the Bisection Method?, They must have the same sign, They must both be zero, They must have opposite signs, ‏They must be equal, How is the midpoint p1 calculated?, If f(P1)=0, what do we do?, ‏Stop; P1 is the root, ‏Choose a new interval randomly, Double the interval, Calculate the derivative, If a=2 and b=6, what is the midpoint P1?, ‏2, ‏3, 4, ‏8, Which of the following can be used as a stopping condition?, ‏The error is smaller than the tolerance, ‏The interval becomes larger, ‏The function becomes more complicated, ‏The midpoint is always negative, ‏ 9. In the Bisection Method, what does Pn represent?, The derivative of the function, The midpoint at iteration n, ‏The initial value of a, The maximum error, What is the first step in the Bisection Method?, ‏Calculate the derivative, ‏Set a1=a and b1=b, Find the maximum value, ‏Multiply a and b, Suppose we are applying the Bisection method on [2, 4]. We have f(2) = -8 and f(4) = 10. The midpoint is p1 = 3, where f(3) = -1. What is the new interval [a2, b2]for the second iteration?, [2,4], [3,4], [2,3], [-1,2], What happens to the interval after each successful Bisection step?, It becomes twice as large, It becomes half as large, It stays the same, It becomes zero

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