PYQs Based Test - 26 : Numerical Methods (Algebraic Equations)

Topics Covered

Sample Questions from this Test

1. Newton-Raphton iteration formula for finding $\sqrt[3]{C},$ where C > 0 is
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2. The 2${}^{nd}$ approximation to a root of the equation x² - x - 1 = 0 in the interval (1, 2) by Bisection method will be:
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3. The following table lists an nth order polynomial $f\left(x\right)=a_n{x}^n+a_{n-1}{x}^{n-1}+\dots +a_{1}x+a_0$ and the forward difference evaluated at equally spaced values of x. The order of the polynomial is

   x	f(x)	Δf	Δ²f	Δ³f
   -0.4	1.7648	-0.2965	0.089	-0.03
   -0.3	1.4683	-0.2075	0.059	-0.0228
   -0.2	1.2608	-0.1485	0.0362	-0.0156
   -0.1	1.1123	-0.1123	0.0206	-0.0084
   0	1	-0.0917	0.0122	-0.0012
   0.1	0.9083	-0.0795	0.011	0.006
   0.2	0.8288	-0.0685	0.017	0.0132

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Test Instructions

• The test contains 10 questions and a total of 16 marks.
• You will have 180 minutes to complete the test. The timer cannot be paused once started.
• Negative marking: 0.25 mark(s) deducted per wrong answer.
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• Detailed solutions and analytics are available immediately after submission.
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