Question

1. Of the four methods use to estimate the roots, which one appeared to be fastest (take the fewest iterations) to arrive at a solution:

a)False-position method

b)Bisection method

c)Secant Method

d)Newton’s Method

e)They all took the same number of iterations

2.The Bisection and False-position method are:

a)Interval (bracketing) methods

b)Calculus-bases methods

c)Secant methods

d)Uses Ohm’s law

3.The Secant method is similar to Newton’s method except:

a)for the use of an approximation for the tangent-line

b)that two points (defining the Secant-line) are stored and updated

c)Both A and B

d)Neither A nor B

4.Using Newton’s method to solve 3x-6=0 for x. If you choose an initial “guess” x=0, how many iterations will the solver require to converge with a tolerance of 10^(-9)?

a)1

b)2

c)3

d)Never converge

5.Using Newton’s method to solve (x^3)-8=0 for x. If you choose an initial “guess” x=0, how many iterations will the solver require to converge with a tolerance of 10^(-9)?

a)1

b)2

c)3

d)Never converge

Answer 1

1. Of the four methods use to estimate the roots, which one appeared to be fastest (take the fewest iterations) to arrive at a solution: a)False-position method b)Bisection method Secant Method d) Newton's Method e)They all took the same number of iterations 2.The Bisection and False-position method are: a)Interval (bracketing) methods b) Calculus-bases methods c)Secant methods d)Uses Ohm's law 3.The Secant method is similar to Newton's method except: a)for the use of an approximation for the tangent-line b)that two points (defining the Secant-line) are stored and updated c) Both A and B d)Neither A nor B

4.Using Newton's method to solve 3x-6=0 for x. If you choose an initial “guess” x=0, how many iterations will the solver require to converge with a tolerance of 10^(-9)? a)1 62 c)3 d)Never converge 5.Using Newton's method to solve (x^3)-8=0 for x. If you choose an initial “guess” x=0, how many iterations will the solver require to converge with a tolerance of 10^(-9)? a)1 b)2 d)Never converge

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