Numerical Methods - Study Mode
[#1] What is the cube root of 1468 to 3 decimal places?
Correct Answer
(C) 11.365
[#2] Torque exerted on a flywheel over a cycle is listed in the table. Flywheel energy (in J per unit cycle) using Simpson's rule is Angle (degree) 0 60 120 180 240 300 360 Torque (Nm) 0 1066 -323 0 323 -355 0
Correct Answer
(B) 993
[#3] Roots of the algebraic equation x 3 + x 2 + x + 1 = 0 are
Correct Answer
(D) (-1, +j. -j)
[#4] In the Newton-Raphson method, an initial guess of x 0 = 2 is made and the sequence x 0 , x 1 , x 2 ... is obtained for the function 0.75x 3 - 2x 2 - 2x + 4 = 0 Consider the statements I. x 3 = 0. II. The method converges to a solution in a finite number of iterations. Which of the following is TRUE?
Correct Answer
(A) Only I
[#5] While numerically solving the differential equation $$frac{{{ ext{dy}}}}{{{ ext{dx}}}} + 2{ ext{x}}{{ ext{y}}^2} = 0,,{ ext{y}}left( 0
ight) = 1$$ xa0 xa0 using Euler's predictor-corrector (improved Euler-Cauchy) with a step size of 0.2, the value of y after the first step is
Correct Answer
(D) 0.96