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DBATU MCQs
Typology: Quizzes
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a) + b) c) d) –
d) ,)
a) -5and - b) -4 and - c) 0 and 1 d)
13.A root of the equation using Newton-Raphson iteration a) b) x = 0.35 and x = 2. c) x = 0.35740 and x = 2. d) Newton-Raphson iteration can’t be used since the answer oscillates between 2 and -
14.A root of the equation the first initial guess lies between a) (0,1) b) (-1,-2) c) d) (3,4)
15.Use the Newton-Raphson method to solve 2 to 4 decimal places. a) There is no solution since the curve is always increasing. b) c) x = 0. d) Newton-Raphson can’t be use because the tangents to the curve do not cut the axes on the interval 0≤x≤
16.Newton-Raphson method will always converts to a solution for f(x) = 0 on the interval a ≤ x ≤ b if certain condition are there. Which of the following is not of these confession? a) f is continuous on the interval a ≤ x ≤ b. b) f (a) and f(b) have opposite sign. c) f’(x) does not change sign be the interval a ≤ x ≤ b. d)
17.The function f(x) = + 2 has a root between 0 and 1. Which of the following condition fail? a) f(0) and f(1) have opposite signs. b) f’(x)≠ 0 on 0 ≤ x ≤ 1. c) d) The tangents at 0 and 1 cut the axes in the interval 0 ≤ x ≤1.
22.Newton-Raphson method is also called as a) Method of chords b) Interval halving method c) Method of linear interpolation d)
23.The iterative formula for Newton-Raphson method is a) b) c) d) 24.Which iterative method requires single initial guess root? a) Bisection method b) Secant method c) Method of false position d)
25.The initial guess root of the equation +3=0 is 1,then first approximation for the root by Newton Raphson method is: a) 0. b) 1. c) d) None of the above
26.Newton Raphson method is applicable to the solution of _____ a) b) Both algebraic and transcendental and also used when the roots are complex c) Algebraic equation only d) Transcendental equations only
27.Fourth degree equations are also called as _______ method. a) Quadratic b) Cubic c) Linear d)
28.In which of the following methods proper choice of initial value is very important? a) b) Bisection method c) Iterative method d) Regular Falsi method
29.In the case of Newton Raphson method the error at any stage is propotional to ___ a) The error in the previous stage. b). c) The cubic of the error in the previous stage. d) Square root of the error in the previous stage.
34.Bisection method is also known as _______ a) Falsie Method b) Bracketing method c) Graphical method d) 35.If is negative and is positive then the approximation root is ____ a) b) c) d)
36.Newton-Raphson formula by Taylor’s series expansion a) b) c) d)
37.Find Newton-Raphson method correct up to four decimal place a) 0. b) 0. c) d) 0.
38.Using bisection method find approximate root of iteration that lies between carry out up o 3rd^ step a) 1.
b) 1. c) d) 1.
39.If then is the root of a) b) False
40.In Newton-Raphson method h is ______ a) b) c) d)
