Quiz_03nle_newton(1) - Multiple-Choice Test Chapter 03.04 Newton-Raphson Method 1 The Newton-Raphson method of finding roots of nonlinear equations

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03.04.1 Multiple-Choice Test Chapter 03.04 Newton-Raphson Method 1. The Newton-Raphson method of finding roots of nonlinear equations falls under the category of _____________ methods. (A) bracketing (B) open (C) random (D) graphical 2. The Newton-Raphson method formula for finding the square root of a real number R from the equation 0 2 = R x is, (A) 2 1 i i x x = + (B) 2 3 1 i i x x = + (C) + = + i i i x R x x 2 1 1 (D) = + i i i x R x x 3 2 1 1 3. The next iterative value of the root of 0 4 2 = x using the Newton-Raphson method, if the initial guess is 3, is (A) 1.5 (B) 2.067 (C) 2.167 (D) 3.000 4. The root of the equation 0 ) ( = x f is found by using the Newton-Raphson method. The initial estimate of the root is 3 0 = x , ( ) 5 3 = f . The angle the line tangent to the function ) ( x f makes at 3 = x is ° 57 with respect to the x -axis. The next estimate of the root, 1 x most nearly is (A) –3.2470 (B) 0.2470 (C) 3.2470 (D) 6.2470
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03.04.2
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This note was uploaded on 06/12/2011 for the course EML 3041 taught by Professor Kaw,a during the Spring '08 term at University of South Florida - Tampa.

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Quiz_03nle_newton(1) - Multiple-Choice Test Chapter 03.04 Newton-Raphson Method 1 The Newton-Raphson method of finding roots of nonlinear equations

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