quiz_03nle_bisection(1) - Multiple-Choice Test Chapter...

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03.03.1 Multiple-Choice Test Chapter 03.03 Bisection Method 1. The bisection method of finding roots of nonlinear equations falls under the category of a (an) _________ method. (A) open (B) bracketing (C) random (D) graphical 2. If ) ( x f is a real continuous function in ] , [ b a , and ( ) 0 ) ( < b f a f , then for ( ) 0 = x f , there is (are) ____________ in the domain ] , [ b a . (A) one root (B) an undeterminable number of roots (C) no root (D) at least one root 3. Assuming an initial bracket of [ ] 5 , 1 , the second (at the end of 2 iterations) iterative value of the root of 0 3 . 0 = t te using the bisection method is (A) 0 (B) 1.5 (C) 2 (D) 3 4. To find the root of 0 ) ( = x f , a scientist is using the bisection method. At the beginning of an iteration, the lower and upper guesses of the root are l x and u x . At the end of the iteration, the absolute relative approximate error in the estimated value of the root would be (A) x x x u u + (B) x x x u + (C) x x x x u u + (D) x x x x u u +
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